| {"idx": 1309, "gold": "2280", "pred": "2180", "ok": false, "gen": "Let's break down the problem step by step:\n\n1. Alexandra raises $430.\n2. Kim raises $320 more than Alexandra, so Kim raises $430 + $320 = $750.\n3. Sarah raises $300.\n4. Maryam raises $400 more than Sarah, so Maryam raises $300 + $400 = $700.\n\nNow, let's add up the total amount of money raised by all the girls:\n\n$430 (Alexandra) + $750 (Kim) + $300 (Sarah) + $700 (Maryam) = $2180\n\nSo, the girls all raised a total of \\boxed{2180} dollars."} |
| {"idx": 228, "gold": "1", "pred": "1", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Kalinda can add 4 pieces per minute.\n2. Her mom can add half as many pieces per minute as Kalinda, which is 4 / 2 = 2 pieces per minute.\n3. Together, they can add 4 + 2 = 6 pieces per minute.\n4. To find out how many minutes it will take them to complete the puzzle, we divide the total number of pieces (360) by the number of pieces they can add per minute (6): 360 / 6 = 60 minutes.\n5. To convert the time from minutes to hours, we divide by 60: 60 / 60 = 1 hour.\n\nTherefore, it will take Kalinda and her mom \\boxed{1} hour to complete the puzzle."} |
| {"idx": 51, "gold": "5", "pred": "5", "ok": true, "gen": "To find the time it takes Tom to get back, we first need to find the distance he traveled from 1 to 4 PM.\n\nDistance = Speed * Time\nDistance = 10 miles/hour * 3 hours\nDistance = 30 miles\n\nNow, we can find the time it takes Tom to travel back at a rate of 6 mph.\n\nTime = Distance / Speed\nTime = 30 miles / 6 mph\nTime = 5 hours\n\nSo, it takes Tom \\boxed{5} hours to get back."} |
| {"idx": 563, "gold": "12", "pred": "3", "ok": false, "gen": "Let's break down the problem:\n\nJames has 2 sons, one of whom is 12 years old, and the other is 4 years younger, which means the younger son is 12 - 4 = 8 years old.\n\nSince James wants to buy candles for both sons, he needs to buy a total of 2 candles.\n\nHowever, a pack of 5 candles costs $3, and James only needs 2 candles. To find out how much he needs to spend, we can divide the number of candles he needs by the number of candles in a pack:\n\n2 candles / 5 candles per pack = 0.4 packs\n\nSince James can't buy a fraction of a pack, he will need to buy 1 pack of candles to have enough for both sons.\n\nThe cost of 1 pack of candles is $3.\n\nSo, James spends \\boxed{3} dollars on candles."} |
| {"idx": 501, "gold": "273", "pred": "273", "ok": true, "gen": "Let's break it down:\n\nMariah used 1/4 of a skein of yarn, which is 364 * 1/4 = 364/4 = 91 yards.\n\nHer grandma used 1/2 of a skein of yarn, which is 364 * 1/2 = 364/2 = 182 yards.\n\nTo find the total yards of yarn they used, we add the yards used by Mariah and her grandma: 91 + 182 = 273 yards.\n\nSo, they used \\boxed{273} yards of yarn altogether."} |
| {"idx": 457, "gold": "45", "pred": "45", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Katelyn saw 50 fairies flying above the nearby forest.\n2. After 20 minutes, one of her friends saw half as many fairies as Katelyn saw come from the east, which is 50 / 2 = 25 fairies.\n3. So, the total number of fairies now is 50 + 25 = 75.\n4. Ten minutes later, 30 fairies flew away, leaving 75 - 30 = 45 fairies.\n\nThus, there are \\boxed{45} fairies remaining."} |
| {"idx": 285, "gold": "21", "pred": "3", "ok": false, "gen": "Since Ann is 9 years old, her brother is twice her age, which is 2 * 9 = 18 years old.\nIn 3 years, her brother will be 18 + 3 = 21 years old.\nSo, her brother will be \\boxed{21} years old in 3 years."} |
| {"idx": 209, "gold": "145", "pred": "1450", "ok": false, "gen": "Let's break down the problem step by step.\n\nFirst, we need to calculate the total cost of half a dozen plates sold at $6000 each.\nSince half a dozen is 6 plates, the total cost of plates is $6000 * 6 = 36000$.\n\nNext, we are told that twenty dozen cups cost $1200 less than the total cost of half a dozen plates.\nSo, the total cost of cups is $36000 - 1200 = 34800$.\n\nNow, we need to calculate the total cost of buying each cup.\nSince twenty dozen cups is 24 cups, the cost of each cup is $34800 / 24 = 1450$.\n\nThus, the total cost of buying each cup is \\boxed{1450} dollars."} |
| {"idx": 1116, "gold": "60", "pred": "60", "ok": true, "gen": "There were originally 50 students enrolled in the calligraphy class.\nA 20% increase amounts to $50 * 20 / 100 = 1000 / 100 = 10$.\nSo the total number of students enrolled this year is $50 + 10 = 60$.\nThus, there are \\boxed{60} students enrolled this year in the calligraphy class."} |
| {"idx": 178, "gold": "122", "pred": "122", "ok": true, "gen": "Let's break down the information given:\n\n* Bo has 40 crabs.\n* Monic has 4 fewer crabs than Bo, so Monic has 40 - 4 = 36 crabs.\n* Rani has 10 more crabs than Monic, so Rani has 36 + 10 = 46 crabs.\n\nNow, let's add up the number of crabs each of them has:\n\n40 (Bo) + 36 (Monic) + 46 (Rani) = 122\n\nSo, the total number of crabs the three have together is \\boxed{122}."} |
| {"idx": 1209, "gold": "29", "pred": "29", "ok": true, "gen": "Let's break down the amount of water removed per day for each setting:\n\n* Low setting: 1 liter/day\n* Medium setting: 2 liters/day (twice as much as the low setting)\n* High setting: 4 liters/day (twice as much as the medium setting)\n\nBrian ran the dehumidifier for 3 days on the low setting, so he removed 3 liters of water.\n\nHe ran it for 3 days on the medium setting, so he removed 3 x 2 = 6 liters of water.\n\nHe ran it for 5 days on the high setting, so he removed 5 x 4 = 20 liters of water.\n\nThe total amount of water removed is 3 + 6 + 20 = 9 + 20 = 29 liters.\n\nSo, the dehumidifier removed \\boxed{29} liters of water from the air in Brian's basement."} |
| {"idx": 864, "gold": "80", "pred": "80", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. George ordered 600 burritos.\n2. There were 50 students at the picnic, and each student was given 10 burritos, so the total number of burritos given out is 50 x 10 = 500.\n3. Mr. George ate 20 burritos, so the total number of burritos eaten is 500 + 20 = 520.\n4. To find the total number of leftover burritos, we subtract the number of burritos eaten from the total number of burritos ordered: 600 - 520 = 80.\n\nTherefore, the total number of leftover burritos from the picnic is \\boxed{80}."} |
| {"idx": 65, "gold": "36", "pred": "4", "ok": false, "gen": "Jim spends 2 hours watching TV and then reads for half as long, which is 2 / 2 = 1 hour.\nSo, in one session, he spends 2 + 1 = 3 hours on TV and reading.\nHe does this 3 times a week, so in one week, he spends 3 * 3 = 9 hours on TV and reading.\nIn 4 weeks, he spends 9 * 4 = 36 hours on TV and reading.\nThus, Jim spends \\boxed{36} hours on TV and reading in 4 weeks."} |
| {"idx": 61, "gold": "1430", "pred": "1430", "ok": true, "gen": "Let's break down the costs:\n\n* Material: $500\n* Jeweler: $800\n* Insurance: 10% of $500 + $800 = 10% of $1300 = $130\n\nTotal cost: $500 + $800 + $130 = $1430\n\nSo, Janet paid \\boxed{1430} dollars."} |
| {"idx": 191, "gold": "5", "pred": "0.5", "ok": false, "gen": "To find out how many pounds of insects the ducks need per day, we need to divide the total amount of insects they need per week by the number of days in a week.\n\nThe ducks need 3.5 pounds of insects per week.\nThere are 7 days in a week.\n\nSo, the amount of insects they need per day is 3.5 / 7 = 0.5 pounds.\n\nThus, the ducks need \\boxed{0.5} pounds of insects per day."} |
| {"idx": 447, "gold": "5", "pred": "5", "ok": true, "gen": "Joey starts with 214 points and scores 26 points, so he now has 214 + 26 = 240 points.\nMarcy starts with 225 points and scores 10 points, so she now has 225 + 10 = 235 points.\nThe difference between Joey's points and Marcy's points is 240 - 235 = 5 points.\nSo Joey is now winning by \\boxed{5} points."} |
| {"idx": 476, "gold": "5", "pred": "5", "ok": true, "gen": "To find out how many books Sarah bought, we need to divide the total amount she spent ($300) by the cost of each book ($15).\nSo, $300 / $15 = 20 books.\nSince Sarah gave an equal number of books to her 4 kids, we need to divide the total number of books (20) by 4.\nSo, 20 / 4 = 5 books per kid.\nThus, each child got \\boxed{5} books."} |
| {"idx": 1034, "gold": "66", "pred": "66", "ok": true, "gen": "To find the total amount Ted spent, we need to calculate the cost of the books and the pencils separately and then add them up.\n\nThe cost of 3 books at $16 each is $16 * 3 = 48$.\nThe cost of 3 pencils at $6 each is $6 * 3 = 18$.\nSo the total amount Ted spent is $48 + 18 = 66$.\n\nThus, Ted spent \\boxed{66} dollars in total."} |
| {"idx": 1232, "gold": "15", "pred": "15", "ok": true, "gen": "Let's denote the number of pomelos Eve gave away as $x$.\nEve originally had 20 pomelos.\nAfter giving away $x$ pomelos, she is left with $20 - x$ pomelos.\nThe problem states that she is left with 1/4 of the pomelos she originally had.\nSo $20 - x = 20 * 1/4 = 20/4 = 5$.\nThis implies that $x = 20 - 5 = 15$.\nThus, Eve gave away \\boxed{15} pomelos."} |
| {"idx": 54, "gold": "40", "pred": "40", "ok": true, "gen": "Let's break it down step by step:\n\nInitially, the Doubtfire sisters have 7 kittens adopted from the local animal shelter.\n\nPatchy, the first cat, has had thrice the number of adopted kittens, which is 3 x 7 = 21 kittens.\n\nTrexie, the other cat, has had 12 kittens.\n\nSo, the total number of kittens the house cats have had is 21 + 12 = 33 kittens.\n\nAdding these to the 7 kittens adopted from the shelter, the Doubtfire family now has a total of 7 + 33 = 40 kittens.\n\nThus, the Doubtfire family now has \\boxed{40} kittens."} |
| {"idx": 1149, "gold": "93", "pred": "93", "ok": true, "gen": "Since Jen has 3 fish and each fish needs $1 worth of food a day, she needs $3 worth of food per day.\nThere are 31 days in May.\nSo, the total amount of food she spends on in May is $3 * 31 = 93$.\nThus, Jen spends \\boxed{93} dollars on food in the month of May."} |
| {"idx": 407, "gold": "2000", "pred": "2000", "ok": true, "gen": "Let's break down the steps Elliott took:\n\n* Half of his steps on his walks to and from school: 10,000 / 2 = 5,000 steps\n* Another 1,000 steps going for a short walk with his friend: 1,000 steps\n* Total steps taken so far: 5,000 + 1,000 = 6,000 steps\n* He had 2,000 steps left to take after his jog: 2,000 steps\n\nTo find out how many steps Elliott took during his jog, we subtract the total steps taken so far from the total steps he was trying to walk:\n\n10,000 - 6,000 = 4,000 steps\n\nSince he had 2,000 steps left after his jog, we subtract 2,000 from the total steps taken so far:\n\n4,000 - 2,000 = 2,000 steps\n\nSo, Elliott took \\boxed{2,000} steps during his jog."} |
| {"idx": 859, "gold": "1520", "pred": "1520", "ok": true, "gen": "Rafaela received $20 * 40 = 800$ dollars in tips.\nJulieta received 10% less than Rafaela, which is $800 * 10 / 100 = 8000 / 100 = 80$ dollars less.\nSo Julieta received $800 - 80 = 720$ dollars in tips.\nThe total amount of money they received as tips is $800 + 720 = 1520$ dollars.\nThus, the total amount of money they received as tips altogether is \\boxed{1520} dollars."} |
| {"idx": 451, "gold": "11050", "pred": "170", "ok": false, "gen": "The cost of filling 20 balloons was $900.\nSo the cost of filling one balloon was $900 / 20 = 45$.\nTwo days later, the cost of filling each balloon was increased by $20.\nSo the new cost of filling one balloon is $45 + 20 = 65$.\nTo fill 170 balloons, Bentley will pay $65 * 170 = 11050$.\nThus, Bentley paid \\boxed{11050} dollars to fill 170 balloons."} |
| {"idx": 919, "gold": "90", "pred": "0", "ok": false, "gen": "To calculate the profit, we need to find the total revenue and subtract the total cost.\n\nThe total cost is the cost of 30 students selling 10 lollipops each, which is $0.8 * 30 * 10 = 24 * 10 = 240$.\n\nThe total revenue is the total number of lollipops sold, which is $30 * 10 = 300$. Since each lollypop costs $0.8, the total revenue is $0.8 * 300 = 240$.\n\nHowever, this is not the correct answer because we need to find the profit, which is the difference between the total revenue and the total cost. Since the total revenue is equal to the total cost, the profit is $0.\n\nThus, the class was able to raise \\boxed{0} dollars from the profit of selling lollipops."} |
| {"idx": 1206, "gold": "40000", "pred": "40000", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. John gets a loan worth 40% of his house's value, which is $250,000 * 40 / 100 = $100,000.\n2. He uses 60% of that loan amount to pay off his debts, which is $100,000 * 60 / 100 = $60,000.\n3. To find out how much money he has leftover, we subtract the amount he used to pay off his debts from the total loan amount: $100,000 - $60,000 = $40,000.\n\nSo, John has \\boxed{40,000} dollars leftover after paying off his debts."} |
| {"idx": 569, "gold": "21", "pred": "21", "ok": true, "gen": "Mitchell sold 21 lemonades at $4 apiece, so he made $21 * 4 = 84$ dollars.\nLiam made $63 dollars.\nThe difference between the two amounts is $84 - 63 = 21$ dollars.\nSo Mitchell made \\boxed{21} dollars more selling lemonade that weekend than Liam."} |
| {"idx": 13, "gold": "18", "pred": "18", "ok": true, "gen": "Let's denote the number of vacuum cleaners Melanie started with as $x$.\nShe sold a third of her vacuum cleaners at the green house, which is $x/3$.\nThen she sold 2 more vacuum cleaners to the red house, leaving her with $x - x/3 - 2 = 2x/3 - 2$ vacuum cleaners.\nShe sold half of what was left at the orange house, which is $(2x/3 - 2)/2 = x/3 - 1$.\nSo, after selling vacuum cleaners at the orange house, she had $2x/3 - 2 - (x/3 - 1) = x/3 - 1$ vacuum cleaners left.\nThe problem states that she has 5 vacuum cleaners left, so we can set up the equation $x/3 - 1 = 5$.\nSolving for $x$, we get $x/3 = 6$, which implies $x = 18$.\nThus, Melanie started with \\boxed{18} vacuum cleaners."} |
| {"idx": 326, "gold": "14", "pred": "14", "ok": true, "gen": "Let's denote the number of people who got on the bus at the terminal as $x$.\nAt the first bus stop, 5 more people got in, so the total number of people became $x + 5$.\nAt the second bus stop, 7 people got down, so the total number of people became $x + 5 - 7 = x - 2$.\nThen, 8 more people got in, so the total number of people became $x - 2 + 8 = x + 6$.\nWe are told that there were a total of 20 people heading to the third stop, so we can set up the equation $x + 6 = 20$.\nSolving for $x$, we get $x = 20 - 6 = 14$.\nThus, there were \\boxed{14} people who got on the bus at the terminal."} |
| {"idx": 865, "gold": "23", "pred": "23", "ok": true, "gen": "Let's break down the information given:\n\n* Red cars: 12\n* Green cars: 2 fewer than red cars, so 12 - 2 = 10\n* Blue cars: 3 times the number of green cars, so 3 x 10 = 30\n* Total cars: 75\n\nWe can add up the number of red, green, and blue cars: 12 + 10 + 30 = 22 + 30 = 52\n\nSince the total number of cars is 75, we can subtract the number of red, green, and blue cars from the total to find the number of yellow cars: 75 - 52 = 23\n\nSo, the bumper car rink has \\boxed{23} yellow cars."} |
| {"idx": 696, "gold": "145", "pred": "145", "ok": true, "gen": "Let's break down the information given:\n\n* Adam has collected 50 points.\n* Betty collected 30% more points than Adam, which is 50 + (50 * 30 / 100) = 50 + 15 = 65 points.\n* Tom collected 30 points less than Betty, which is 65 - 30 = 35 points.\n* Marta collected 3 times more points than Tom, which is 35 * 3 = 105 points.\n\nNow, let's add up the points collected by all four students:\n\n50 (Adam) + 65 (Betty) + 35 (Tom) + 105 (Marta) = 255 points.\n\nSince the minimum threshold is 400 points, the class is missing:\n\n400 - 255 = 145 points.\n\nSo, the class is missing \\boxed{145} points to go on the trip."} |
| {"idx": 318, "gold": "123", "pred": "123", "ok": true, "gen": "Let's break down the information given:\n\n* The classroom has 3 times as many girls as boys, and there are 30 boys. So, the number of girls is 3 x 30 = 90.\n* The classroom has 1/10 as many nongendered children as boys. Since there are 30 boys, the number of nongendered children is 30 / 10 = 3.\n* To find the total number of children, we add the number of boys, girls, and nongendered children: 30 + 90 + 3 = 120 + 3 = 123\n\nSo, the classroom has \\boxed{123} total children."} |
| {"idx": 440, "gold": "98", "pred": "98", "ok": true, "gen": "To find the perimeter of Billie's rectangular bedroom, we start by converting the length from yards to feet. Since 1 yard is equal to 3 feet, the length of the room is:\n\n\\[\n3 \\text{ yards} \\times 3 \\text{ feet/yard} = 9 \\text{ feet}\n\\]\n\nNext, we use the area formula for a rectangle, which is given by:\n\n\\[\n\\text{Area} = \\text{length} \\times \\text{width}\n\\]\n\nGiven that the area is 360 square feet, we can solve for the width:\n\n\\[\n360 = 9 \\times \\text{width}\n\\]\n\nDividing both sides by 9, we get:\n\n\\[\n\\text{width} = \\frac{360}{9} = 40 \\text{ feet}\n\\]\n\nNow that we have the length and width, we can find the perimeter of the room. The perimeter \\(P\\) of a rectangle is given by:\n\n\\[\nP = 2 \\times (\\text{length} + \\text{width})\n\\]\n\nSubstituting the values we have:\n\n\\[\nP = 2 \\times (9 + 40) = 2 \\times 49 = 98 \\text{ feet}\n\\]\n\nThus, the perimeter of Billie's rectangular bedroom is:\n\n\\[\n\\boxed{98}\n\\]"} |
| {"idx": 689, "gold": "7", "pred": "7", "ok": true, "gen": "Let's break down the problem step by step.\n\nManolo bought 5 lollipops and 4 candies that cost $3.20.\nEach lollipop costs $0.40, so the total cost of the lollipops is $5 * 0.40 = 2$.\nThis means that the total cost of the candies is $3.20 - 2 = 1.20$.\nSince there are 4 candies, the cost of each candy is $1.20 / 4 = 0.30$.\nNow, we need to find the cost of 10 lollipops and 10 candies.\nThe cost of 10 lollipops is $10 * 0.40 = 4$.\nThe cost of 10 candies is $10 * 0.30 = 3$.\nSo, the total cost of 10 lollipops and 10 candies is $4 + 3 = 7$.\n\nThus, 10 lollipops and 10 candies will cost Manolo \\boxed{7} dollars."} |
| {"idx": 189, "gold": "34", "pred": "34", "ok": true, "gen": "Let's break down the costs:\n\n* 3 tickets: $20.25\n* Food: $4.50 less than tickets, so $20.25 - $4.50 = $15.75\n* 2 rides: 2 x $33 = $66\n\nTotal cost: $20.25 + $15.75 + $66 = $102\n\nSince they agreed to split the costs evenly, each friend will pay:\n\n$102 \u00f7 3 = $34\n\nSo each friend will pay \\boxed{34} dollars."} |
| {"idx": 778, "gold": "38", "pred": "38", "ok": true, "gen": "To find the total amount Winston spent on fruit, we need to calculate the cost of each type of fruit and add them up.\n\nThe cost of peaches is $2.00 per pound, and he picked 6 pounds, so the total cost of peaches is $2.00 * 6 = $12.00.\n\nThe cost of plums is $1.00 per pound, and he picked 8 pounds, so the total cost of plums is $1.00 * 8 = $8.00.\n\nThe cost of apricots is $3.00 per pound, and he picked 6 pounds, so the total cost of apricots is $3.00 * 6 = $18.00.\n\nAdding up the costs of all three types of fruit, we get $12.00 + $8.00 + $18.00 = $38.00.\n\nSo Winston spent \\boxed{38} dollars on fruit."} |
| {"idx": 198, "gold": "320", "pred": "320", "ok": true, "gen": "Let's break down the problem step by step:\n\nInitially, Ellen had 20 Pokemon cards.\n\nIn the first month, she collected three times that number, which is 3 x 20 = 60 cards.\n\nIn the second month, she collected 20 fewer cards than those she collected in the first month, which is 60 - 20 = 40 cards.\n\nIn the third month, she collected twice the combined number of pokemon cards she collected in the first and second months. The combined number of cards she collected in the first and second months is 60 + 40 = 100 cards. So, she collected 2 x 100 = 200 cards in the third month.\n\nNow, let's add up the total number of pokemon cards Ellen has:\n\nInitial cards: 20\nFirst month cards: 60\nSecond month cards: 40\nThird month cards: 200\nTotal cards: 20 + 60 + 40 + 200 = 80 + 40 + 200 = 120 + 200 = 320\n\nSo, Ellen now has \\boxed{320} pokemon cards in total."} |
| {"idx": 735, "gold": "50", "pred": "50", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Candidate A got 20% of the votes, which is 20% of 100 = 0.20 x 100 = 20 votes.\n2. Candidate B got 50% more than candidate A's votes, which is 20 + (50% of 20) = 20 + 10 = 30 votes.\n3. The rest of the votes was given to candidate C. To find out how many votes candidate C got, we subtract the votes of candidates A and B from the total number of voters: 100 - 20 - 30 = 80 - 30 = 50 votes.\n\nSo, candidate C got \\boxed{50} votes."} |
| {"idx": 704, "gold": "50", "pred": "50", "ok": true, "gen": "Let's break it down step by step:\n\nGerald and Julia divided $100 in the ratio 3:2, which means Gerald got 3/5 of the total amount and Julia got 2/5.\n\nGerald's share is 3/5 \u00d7 $100 = $60.\n\nIf Gerald spent $10 on a book, he was left with $60 - $10 = $50.\n\nSo, Gerald had \\boxed{50} dollars left."} |
| {"idx": 1236, "gold": "84", "pred": "120", "ok": false, "gen": "Let's break down the problem step by step:\n\n1. Madeline ate 6 grapes.\n2. Her brother used up 5 times as many grapes as Madeline, so he used up 5 x 6 = 30 grapes.\n3. The total number of grapes used by Madeline and her brother is 6 + 30 = 36 grapes.\n4. Their mother used the remaining grapes to make 4 pies, and each pie requires 12 grapes, so she used up 4 x 12 = 48 grapes.\n5. The total number of grapes used by all three is 36 + 48 = 84 grapes.\n6. Since the pie recipe calls for 12 grapes per pie, and there are 4 pies, the total number of grapes used is 4 x 12 = 48 grapes.\n7. However, we already know that the total number of grapes used is 84 grapes, so we need to add the grapes used by Madeline and her brother to the total number of grapes used by the mother: 84 + 36 = 120 grapes.\n\nTherefore, there were \\boxed{120} grapes at the beginning."} |
| {"idx": 541, "gold": "50", "pred": "50", "ok": true, "gen": "Let's break down the problem:\n\nElvis has a monthly saving target of $1125.\nIn April, there are 30 days, so the first half has 15 days and the second half has 15 days.\nLet x be the amount Elvis saves in the first half.\nThen, he saves 2x in the second half.\nThe total amount he saves in April is the sum of the amounts he saves in the first half and the second half:\n15x + 15(2x) = 1125\nCombine like terms:\n15x + 30x = 1125\n45x = 1125\nDivide both sides by 45:\nx = 25\nSo, Elvis saves $25 in the first half.\nIn the second half, he saves twice as much, which is:\n2x = 2(25) = 50\n\nTherefore, Elvis has to save \\boxed{50} dollars for each day in the second half of the month."} |
| {"idx": 88, "gold": "8000", "pred": "8000", "ok": true, "gen": "Let's denote the number of copies Harald sold as $x$.\nSince Marilyn sold 10 times as many copies as Harald, the number of copies Marilyn sold is $10*x$.\nThe total number of copies sold is the sum of the copies sold by Marilyn and Harald, which is $x + 10*x = 11*x$.\nThe problem states that the total number of copies sold is 88,000.\nSo we have $11*x = 88,000$, which implies $x = 8000$.\nThus, Harald sold \\boxed{8000} copies."} |
| {"idx": 940, "gold": "280", "pred": "280", "ok": true, "gen": "To find the total number of children that can be in the drill, we need to multiply the number of children per row by the number of rows and then by the number of schools.\n\nNumber of children per row = 8\nNumber of rows = 7\nNumber of schools = 5\n\nTotal number of children = 8 * 7 * 5 = 56 * 5 = 280\n\nSo, there can be \\boxed{280} children in the drill."} |
| {"idx": 1098, "gold": "30", "pred": "30", "ok": true, "gen": "Let's break down the information given:\n\n* Mike is 24 years old.\n* Martha is 4 years younger than Mike, so Martha is 24 - 4 = 20 years old.\n* Jeff is 10 years older than Martha, so Jeff is 20 + 10 = 30 years old.\n\nThus, Jeff is \\boxed{30} years old."} |
| {"idx": 255, "gold": "192", "pred": "8", "ok": false, "gen": "Let's break down the problem step by step:\n\nInitially, there are 10 stalls with 20 cows each, so the total number of cows is 10 x 20 = 200.\n\nMr. Sylas buys 40 cows and divides them equally among the 20 stalls. So, each stall gets 40 / 20 = 2 new cows.\n\nNow, each stall has 20 (initial cows) + 2 (new cows) = 22 cows.\n\nWe want to find out how many cows are in 8 of the stalls. Since each stall has 22 cows, the total number of cows in 8 stalls is 8 x 22 = 176.\n\nSo, there are \\boxed{176} cows in 8 of the stalls."} |
| {"idx": 775, "gold": "276", "pred": "276", "ok": true, "gen": "To find out how many wheels Henry will have left, we need to calculate the total number of wheels he will use to assemble all the toys.\n\nFor 57 cars, he will need 57 * 4 = 228 wheels.\nFor 73 motorcycles, he will need 73 * 2 = 146 wheels.\n\nSo, the total number of wheels he will use is 228 + 146 = 374 wheels.\n\nSince Henry has a box with 650 wheels, the number of wheels left will be 650 - 374 = 276 wheels.\n\nThus, Henry will have \\boxed{276} wheels left."} |
| {"idx": 161, "gold": "32", "pred": "32", "ok": true, "gen": "Let's break down the number of fish each person caught:\n\nAnakin caught:\n- 10 starfish\n- 6 sea horses\n- 3 clownfish\n\nTotal fish caught by Natalie: 10 + 6 + 3 = 16 + 3 = 19\n\nLocsin caught:\n- 5 fewer starfish than Natalie, so 10 - 5 = 5 starfish\n- 3 fewer sea horses than Natalie, so 6 - 3 = 3 sea horses\n- 2 more clownfish than Natalie, so 3 + 2 = 5 clownfish\n\nTotal fish caught by Locsin: 5 + 3 + 5 = 8 + 5 = 13\n\nTotal fish caught by both Natalie and Locsin: 19 + 13 = 32\n\nSo, they were able to catch \\boxed{32} fish."} |
| {"idx": 1130, "gold": "25", "pred": "25", "ok": true, "gen": "To find the total weight of the crayons and the boxes, we first need to find the number of boxes and the number of crayons in each box.\n\nSince Nik has 200 crayons and wants to separate them into groups of 8, we divide 200 by 8 to get the number of groups: 200 / 8 = 25.\n\nEach group of 8 crayons is put into a box, so there are 25 boxes.\n\nEach box weighs 8 ounces, so the total weight of the boxes is 25 * 8 = 200 ounces.\n\nEach crayon weighs 1 ounce, and there are 200 crayons, so the total weight of the crayons is 200 * 1 = 200 ounces.\n\nThe total weight of the crayons and the boxes is 200 + 200 = 400 ounces.\n\nSince there are 16 ounces to a pound, we divide the total weight in ounces by 16 to get the total weight in pounds: 400 / 16 = 25.\n\nThus, the total weight of the crayons and the boxes is \\boxed{25} pounds."} |
| {"idx": 600, "gold": "10", "pred": "10", "ok": true, "gen": "Jamaal originally used an 8-pound weight.\nHe increased the weight by 50%, which is 8 * 50 / 100 = 400 / 100 = 4 pounds.\nSo the new weight is 8 + 4 = 12 pounds.\nHe then used a weight two pounds lighter than that, which is 12 - 2 = 10 pounds.\nThus, the weight that Jamaal now uses is \\boxed{10} pounds."} |
| {"idx": 1287, "gold": "84", "pred": "84", "ok": true, "gen": "Let's break down the information:\n\n* 3 sisters are 16 years old each, so their total age is 3 x 16 = 48.\n* One brother is 12 years old, and the older brother is twice as old, so the older brother is 12 x 2 = 24 years old.\n* The total age of the brothers is 12 + 24 = 36.\n* The total age of all siblings is the sum of the ages of the sisters and the brothers: 48 + 36 = 84.\n\nSo, the total age of all these siblings is \\boxed{84}."} |
| {"idx": 1266, "gold": "147", "pred": "147", "ok": true, "gen": "To find the total amount of dog food needed in a week, we need to calculate the daily consumption and then multiply it by 7.\n\nThe daily consumption of 3 German Shepherds is 3 * 5 = 15 kilograms.\nThe daily consumption of 2 Bulldogs is 2 * 3 = 6 kilograms.\nSo, the total daily consumption is 15 + 6 = 21 kilograms.\n\nThe total weekly consumption is 21 * 7 = 147 kilograms.\n\nThus, the Kennel house will need \\boxed{147} kilograms of dog food in a week."} |
| {"idx": 740, "gold": "25", "pred": "25", "ok": true, "gen": "Let's break down the information given:\n\n* 10 students like to bake\n* 5 students like to play basketball\n* The number that like to play music is twice the number that prefer playing basketball, so 2 x 5 = 10 students like to play music\n\nWe know that the total number of students is 50, and we've accounted for 10 + 5 + 10 = 15 + 10 = 25 students who like to bake, play basketball, or play music. This means that the number of students who like to play video games is:\n\n50 - 25 = 25\n\nSo, \\boxed{25} students like to play video games."} |
| {"idx": 1182, "gold": "1800", "pred": "600", "ok": false, "gen": "Let's break down the problem step by step:\n\n1. Bob spends $27000 distributed between 3 schools, so each school gets $27000 / 3 = $9000.\n2. He can buy 100 books for $500, so he can buy $9000 / $500 = 18 sets of 100 books.\n3. Since each set of 100 books contains 100 books, he can buy 18 x 100 = 1800 books in total.\n4. Since he has 3 schools, he can buy 1800 / 3 = 600 books per school.\n\nSo, Bob can buy \\boxed{600} books per school."} |
| {"idx": 393, "gold": "20", "pred": "20", "ok": true, "gen": "Let's break down Carol's work time into writing, recording, and editing.\n\nWriting time: 4 hours\nRecording time: half of writing time, so 4 / 2 = 2 hours\nEditing time: 90 minutes, which is 1.5 hours\n\nTotal work time: 4 + 2 + 1.5 = 6 + 1.5 = 7.5 hours\n\nPercentage of editing time: (1.5 / 7.5) * 100 = 0.2 * 100 = 20%\n\nSo, Carol spent \\boxed{20} percent of her total work time editing."} |
| {"idx": 142, "gold": "140", "pred": "140", "ok": true, "gen": "Jordan plays video games for 2 hours every day.\nIn a week, he plays video games for 2 * 7 = 14 hours.\nIf he worked for 14 hours, he would earn $10 * 14 = 140$.\nThus, Jordan would earn \\boxed{140} dollars in one week if he spent his video game time working instead."} |
| {"idx": 93, "gold": "36", "pred": "44", "ok": false, "gen": "Let's break down the problem step by step.\n\nLee runs the 400-meter hurdles in 38 seconds.\nGerald runs the 400-meter hurdles 2 seconds slower than Lee, so Gerald runs the 400-meter hurdles in 38 + 2 = 40 seconds.\n\nGerald's diet improved his speed by 10%, so we need to calculate 10% of 40 seconds and add it to 40 seconds.\n\n10% of 40 seconds is 40 * 10 / 100 = 400 / 100 = 4 seconds.\n\nAdding this to 40 seconds, we get 40 + 4 = 44 seconds.\n\nSo, Gerald can run the 400-meter hurdles in \\boxed{44} seconds with his improved diet."} |
| {"idx": 466, "gold": "1", "pred": "1", "ok": true, "gen": "Becky bought 20 apples for 45 cents each, so the total cost is $20 * 45 = 900$ cents.\nSince there are 100 cents in a dollar, the total cost is $900 / 100 = 9$ dollars.\nBecky received a $1 discount, so she paid $9 - 1 = 8$ dollars.\nKelly bought 20 apples for 50 cents each, so the total cost is $20 * 50 = 1000$ cents.\nSince there are 100 cents in a dollar, the total cost is $1000 / 100 = 10$ dollars.\nKelly received a 10 percent discount, which is $10 * 10 / 100 = 100 / 100 = 1$ dollar.\nSo Kelly paid $10 - 1 = 9$ dollars.\nThe difference between what Kelly paid and what Becky paid is $9 - 8 = 1$ dollar.\nThus, Kelly paid \\boxed{1} dollar more than Becky."} |
| {"idx": 592, "gold": "1", "pred": "1", "ok": true, "gen": "On Amazon, the total cost of the boots is $16 + 4 = 20$.\nOn eBay, the total cost of the boots is $13 + 2*4 = 13 + 8 = 21$.\nThe difference in cost between the two platforms is $21 - 20 = 1$.\nThus, the boots work out to be \\boxed{1} dollar more expensive on eBay."} |
| {"idx": 163, "gold": "50", "pred": "50", "ok": true, "gen": "Let's break down the cost of each toy:\n\n* 5 red cars cost 5 x $4 = $20\n* 3 action figures cost 3 x $5 = $15\n* The doll costs as much as 3 action figures, so it also costs $15\n\nNow, let's add up the cost of all toys:\n\n$20 (red cars) + $15 (action figures) + $15 (doll) = $50\n\nSo, all toys are worth \\boxed{50} dollars."} |
| {"idx": 206, "gold": "860", "pred": "860", "ok": true, "gen": "Let's break down Micheal's bike riding into two parts: the first part and the second part.\n\nIn the first part, Micheal rode the bike 5 times a week for 4 weeks, making 25 kilometers each time. So, the total distance he rode in the first part is:\n5 times/week * 4 weeks * 25 kilometers/week = 500 kilometers\n\nIn the second part, Micheal rode the bike 2 times a week for 3 weeks, making 60 kilometers each time. So, the total distance he rode in the second part is:\n2 times/week * 3 weeks * 60 kilometers/week = 360 kilometers\n\nTo find the total distance Micheal rode, we add the distances from both parts:\n500 kilometers + 360 kilometers = 860 kilometers\n\nThus, Micheal rode a total of \\boxed{860} kilometers."} |
| {"idx": 928, "gold": "60", "pred": "60", "ok": true, "gen": "To find the average number of Junebugs Rita removes per day, we need to add up the total number of Junebugs she removed and divide by the number of days.\n\nOn Monday, she removed 39 Junebugs.\nOn Tuesday and Wednesday, she removed twice as many Junebugs as she did on Monday, which is 2 * 39 = 78 Junebugs each day.\nSo, on Tuesday and Wednesday, she removed a total of 78 + 78 = 156 Junebugs.\nOn Thursday, she removed 48 Junebugs.\nOn Friday, she removed 57 Junebugs.\n\nThe total number of Junebugs she removed is 39 + 156 + 48 + 57 = 195 + 48 + 57 = 243 + 57 = 300 Junebugs.\n\nThere are 5 days in total, so the average number of Junebugs she removes per day is 300 / 5 = 60.\n\nThus, Rita removes an average of \\boxed{60} Junebugs per day."} |
| {"idx": 1301, "gold": "23", "pred": "23", "ok": true, "gen": "Let's break down the sequence of events:\n\nInitially, Randy has:\n- 9 oatmeal cookies\n- 4 chocolate chip cookies\n- 5 sugar cookies\n\nHe ate 3 cookies for an early day snack, one of each flavor, so he lost:\n- 1 oatmeal cookie\n- 1 chocolate chip cookie\n- 1 sugar cookie\n\nHe ate 2 oatmeal cookies for lunch, so he lost:\n- 2 oatmeal cookies\n\nHe gave 2 sugar cookies to his friends, so he lost:\n- 2 sugar cookies\n\nThen, he bakes 4 of each flavor for dinner, so he gains:\n- 4 oatmeal cookies\n- 4 chocolate chip cookies\n- 4 sugar cookies\n\nNow, let's calculate the total number of cookies Randy has:\n- Oatmeal cookies: 9 - 1 - 2 + 4 = 8 - 2 + 4 = 6 + 4 = 10\n- Chocolate chip cookies: 4 - 1 + 4 = 3 + 4 = 7\n- Sugar cookies: 5 - 1 - 2 + 4 = 4 - 2 + 4 = 2 + 4 = 6\n\nIn total, Randy has 10 + 7 + 6 = 17 + 6 = 23 cookies.\n\nSo, Randy has \\boxed{23} cookies now."} |
| {"idx": 747, "gold": "350", "pred": "350", "ok": true, "gen": "The vendor used to buy tomatoes for $0.5 each.\nHe sells 500 tomatoes a day, so he used to spend $0.5 * 500 = 250$ per day.\nHe now buys tomatoes for $0.4 each.\nSo he now spends $0.4 * 500 = 200$ per day.\nThe difference in cost per day is $250 - 200 = 50$.\nSince there are 7 days in a week, the weekly savings is $50 * 7 = 350$.\nThus, the vendor saves \\boxed{350} dollars a week."} |
| {"idx": 333, "gold": "100", "pred": "100", "ok": true, "gen": "To find the cost difference between the two offers, we need to calculate the total cost of each offer and then subtract the smaller cost from the larger cost.\n\nFor Furniture United's offer:\n- Advance payment: $1,350\n- Monthly installments: 6 * $350 = $2,100\n- Total cost: $1,350 + $2,100 = $3,450\n\nFor Cozy Homes' offer:\n- Advance payment: $1,100\n- Monthly installments: 9 * $250 = $2,250\n- Total cost: $1,100 + $2,250 = $3,350\n\nThe cost difference between the two offers is $3,450 - $3,350 = $100.\n\nSo, the cost difference between the two offers is \\boxed{100} dollars."} |
| {"idx": 758, "gold": "133", "pred": "133", "ok": true, "gen": "To find the amount you will pay after the discount, we need to calculate the discount amount first.\n\nThe discount amount is 5% of the original price of $140.\nSo, the discount amount is $140 * 5 / 100 = 700 / 100 = 7$.\n\nNow, we subtract the discount amount from the original price to find the amount you will pay.\n$140 - 7 = 133$.\n\nThus, you will pay \\boxed{133} dollars after the discount."} |
| {"idx": 727, "gold": "112", "pred": "112", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Hannah shatters a quarter of the students' cars' windows. There are 64 students' cars with 4 windows each, so the total number of students' cars' windows is 64 x 4 = 256. A quarter of this is 256 / 4 = 64 windows.\n\n2. Hannah shatters 3/4ths of the teachers' cars' windows. There are 32 teachers' cars with 2 windows each, so the total number of teachers' cars' windows is 32 x 2 = 64. 3/4ths of this is 64 x 3/4 = 48 windows.\n\n3. To find the total number of windows Hannah shatters, we add the number of windows from students' cars and teachers' cars: 64 + 48 = 112.\n\nSo, Hannah shatters \\boxed{112} windows."} |
| {"idx": 429, "gold": "13", "pred": "13", "ok": true, "gen": "Indras has 6 letters in her name.\nHalf of the letters in Indras' name is 6 / 2 = 3.\nHer sister's name has 4 more letters than half of the letters in Indras' name, so it has 3 + 4 = 7 letters.\nThe total number of letters in Indras and her sister's names is 6 + 7 = 13.\nThus, there are \\boxed{13} letters in Indras and her sister's names."} |
| {"idx": 546, "gold": "130", "pred": "130", "ok": true, "gen": "There are 26 letters in the alphabet.\nElise writes the alphabet in full twice, which amounts to $26 * 2 = 52$ letters.\nShe writes half of it once, which amounts to $26 / 2 = 13$ letters.\nSo in total, she has written $52 + 13 = 65$ letters.\nThen she re-writes everything she has already written, which amounts to another 65 letters.\nSo in total, she has written $65 + 65 = 130$ letters.\nThus, Elise has written \\boxed{130} letters in total."} |
| {"idx": 146, "gold": "2125", "pred": "2125", "ok": true, "gen": "Let's break down the number of pieces in each set:\n\n* The first set has 500 pieces.\n* The second set has 3 times more pieces than the first set, so it has 3 x 500 = 1500 pieces.\n* The third set has 1/4 the number of pieces as the first set, so it has 500 / 4 = 125 pieces.\n\nTo find the total number of blocks Johnny picks up, we add the number of pieces in each set:\n\n500 + 1500 + 125 = 2000 + 125 = 2125\n\nSo, Johnny picks up \\boxed{2125} blocks."} |
| {"idx": 1247, "gold": "7", "pred": "7", "ok": true, "gen": "Brendan started with 10 marbles.\nHe dropped half of them, so he was left with 10 / 2 = 5 marbles.\nHe then picked up 3 more marbles, so he had 5 + 3 = 8 marbles.\nHowever, he got rid of one bead, so he ended up with 8 - 1 = 7 marbles.\nThus, Brendan ended up with \\boxed{7} marbles."} |
| {"idx": 1300, "gold": "120", "pred": "2", "ok": false, "gen": "Josh is open every day except Sunday and Wednesday, so he is open 5 days a week.\nHe serves 3 cars a day, so in a week he serves 3 * 5 = 15 cars.\nHe gets paid $4 per car, so in a week he makes 15 * 4 = 60 dollars.\nIn 2 weeks, he makes 2 * 60 = 120 dollars.\nThus, Josh makes \\boxed{120} dollars in 2 weeks."} |
| {"idx": 350, "gold": "8", "pred": "8", "ok": true, "gen": "Let's break down the time for each activity:\n\nMonday: 1 hour yoga class\nTuesday: 3 times as long as Monday's yoga class = 3 hours cooking class\nWednesday: 0.5 hours cheese-tasting event\nThursday: half as long as Tuesday's cooking class = 1.5 hours museum tour\nFriday: 2 hours errands\n\nNow, let's add up the total time:\n1 + 3 + 0.5 + 1.5 + 2 = 4 + 0.5 + 1.5 + 2 = 4.5 + 1.5 + 2 = 6 + 2 = 8 hours\n\nSo, all Peyton's after-work activities will take \\boxed{8} hours."} |
| {"idx": 1093, "gold": "144", "pred": "144", "ok": true, "gen": "To find the total cost of painting the room, we need to calculate the total area of the walls and then divide it by the area covered by one gallon of paint.\n\nThe north and south walls are 10 x 8 feet each, so their total area is 2 x (10 x 8) = 160 square feet.\nThe east and west walls are 5 x 8 feet each, so their total area is 2 x (5 x 8) = 80 square feet.\nThe total area of the walls is 160 + 80 = 240 square feet.\n\nSince one gallon of paint can cover 20 square feet, Tony will need 240 / 20 = 12 gallons of paint.\n\nThe cost of paint is $12 per gallon, so the total cost will be 12 x $12 = $144.\n\nThus, it will cost Tony \\boxed{144} dollars to paint the room."} |
| {"idx": 334, "gold": "6", "pred": "6", "ok": true, "gen": "To find out how many guns each person would have, we need to add up the total number of guns and divide it by the number of people.\n\nTotal number of guns = DJ's guns + Nick's guns + RJ's guns + Richard's guns\n= 8 + 10 + 1 + 5 = 18 + 1 + 5 = 19 + 5 = 24\n\nNumber of people = 4\n\nGuns per person = Total number of guns / Number of people\n= 24 / 4\n= 6\n\nSo, each person would have \\boxed{6} guns."} |
| {"idx": 946, "gold": "450", "pred": "450", "ok": true, "gen": "Let's break it down step by step:\n\nSam had 70 loaves of bread last Friday.\nSeven times as many loaves of bread as Sam had last Friday is 7 * 70 = 490 loaves.\nThe bakery has 40 less than that, so it has 490 - 40 = 450 loaves of bread.\n\nThus, the bakery has \\boxed{450} loaves of bread."} |
| {"idx": 777, "gold": "4400", "pred": "2000", "ok": false, "gen": "Let's break down the problem step by step:\n\n1. Mike has 600 movies.\n2. A third of the movies are in various series, which is 600 / 3 = 200 movies.\n3. He can get those 200 movies for $6 of the cost of a normal movie, which is $6 * 200 = $1200.\n4. The remaining movies are 600 - 200 = 400 movies.\n5. 40% of the remaining movies are older movies, which is 400 * 40 / 100 = 16000 / 100 = 160 movies.\n6. He can get those 160 older movies for $5 each, which is $5 * 160 = $800.\n7. The total cost of replacing the movies is the sum of the cost of the series movies and the cost of the older movies: $1200 + $800 = $2000.\n\nSo, replacing the movies costs \\boxed{2000} dollars."} |
| {"idx": 552, "gold": "450", "pred": "450", "ok": true, "gen": "To calculate the amount of money Antonella earned, we need to calculate the commission for the first $1000 and the commission for the remaining $2500 - $1000 = $1500.\n\nFor the first $1000, Antonella earns a 30% commission, which is $1000 * 30 / 100 = $300.\n\nFor the remaining $1500, Antonella earns an additional 10% commission, which is $1500 * 10 / 100 = $150.\n\nThe total commission Antonella earned is $300 + $150 = $450.\n\nSo, Antonella earned \\boxed{450} dollars."} |
| {"idx": 1310, "gold": "64", "pred": "4", "ok": false, "gen": "Since Vanessa ran twice as far as Aaron, Aaron must have run half of Vanessa's distance, which is 4 / 2 = 2 miles.\nAaron ran each mile twice as fast as Vanessa, so Vanessa ran each mile twice as fast as Aaron.\nSince Aaron ran 2 miles in 16 minutes, Vanessa ran 2 miles in 16 / 2 = 8 minutes.\nSince Vanessa ran 4 miles, she took 8 / 2 = 4 minutes to complete her part of the race.\nThus, Vanessa took \\boxed{4} minutes to complete her part of the race."} |
| {"idx": 1140, "gold": "27", "pred": "27", "ok": true, "gen": "Let's break down the problem step by step.\n\nGomer ate 5 less than 23 scoops of mashed potatoes, so he ate 23 - 5 = 18 scoops.\n\nIt takes 3 less than 6 potatoes to make 1 less than 3 scoops of mashed potatoes. \nSo, it takes 6 - 3 = 3 potatoes to make 3 - 1 = 2 scoops of mashed potatoes.\n\nNow, we need to find out how many potatoes Gomer ate. \nSince it takes 3 potatoes to make 2 scoops, we can set up a proportion to find out how many potatoes Gomer ate for 18 scoops.\n\nLet x be the number of potatoes Gomer ate for 18 scoops. \nWe can set up the proportion: 3 potatoes / 2 scoops = x potatoes / 18 scoops.\n\nCross-multiplying, we get: 3 * 18 = 2x.\nThis simplifies to: 54 = 2x.\nDividing both sides by 2, we get: x = 27.\n\nSo, Gomer ate \\boxed{27} potatoes."} |
| {"idx": 449, "gold": "112", "pred": "112", "ok": true, "gen": "Let's break down the problem:\n\n* 6 packets of crayons had 8 pieces of colors each, so the total number of colors in these packets is 6 x 8 = 48.\n* 4 packets of crayons had 16 pieces of colors each, so the total number of colors in these packets is 4 x 16 = 64.\n* To find the total number of colors, we add the number of colors in the two sets of packets: 48 + 64 = 112.\n\nThus, Beatrice bought \\boxed{112} colors of crayons in all."} |
| {"idx": 664, "gold": "32", "pred": "32", "ok": true, "gen": "To find out how many recipes John learns, we need to calculate the total number of hours he spends in the class and then divide that by the number of hours it takes him to learn one recipe.\n\nThe class meets 4 times a week for 2 hours each time, so the total hours per week is 4 * 2 = 8 hours.\n\nSince the class lasts for 6 weeks, the total hours spent in the class is 8 * 6 = 48 hours.\n\nIt takes John 1.5 hours to learn one recipe, so the total number of recipes he learns is 48 / 1.5 = 32.\n\nThus, John learns \\boxed{32} recipes."} |
| {"idx": 114, "gold": "6", "pred": "6", "ok": true, "gen": "Let's break down the information given:\n\n* Jamal's phone can hold 6 times more photographs than Brittany's phone.\n* The maximum number of photographs that Brittany's phone can hold is 50 times more than the number of birds in Jamal's photograph of ducks at the zoo.\n* Jamal's phone can hold 1800 photographs.\n\nLet's start by finding the maximum number of photographs Brittany's phone can hold. Since Jamal's phone can hold 6 times more photographs than Brittany's phone, we can set up the equation:\n\n6x = 1800\n\nwhere x is the maximum number of photographs Brittany's phone can hold.\n\nDividing both sides by 6, we get:\n\nx = 300\n\nSo Brittany's phone can hold 300 photographs.\n\nNow, we know that Brittany's phone can hold 50 times more photographs than the number of birds in Jamal's photograph of ducks at the zoo. Let's call the number of birds in Jamal's photograph \"y\". Then, we can set up the equation:\n\n50y = 300\n\nDividing both sides by 50, we get:\n\ny = 6\n\nSo, the number of birds in Jamal's photograph of ducks at the zoo is 6.\n\nSince the question asks for the number of ducks, and we know that the photograph shows 6 birds, we can conclude that the photograph shows 6 ducks.\n\nThus, the answer is \\boxed{6}."} |
| {"idx": 469, "gold": "4", "pred": "4", "ok": true, "gen": "To find out how many pans Mary should bake, we first need to determine how many cupcakes she needs to bake to use up all of her sprinkles.\n\nSince each jar of sprinkles can decorate 8 cupcakes, and Mary has 6 jars, she can decorate a total of $6 * 8 = 48$ cupcakes.\n\nNow, we need to divide the total number of cupcakes she needs to bake (48) by the number of cupcakes each pan holds (12).\n\n$48 / 12 = 4$.\n\nSo, Mary should bake \\boxed{4} pans worth of cupcakes."} |
| {"idx": 646, "gold": "79", "pred": "79", "ok": true, "gen": "To find the total miles biked by Alisa and Stanley, we need to calculate the distance each of them biked and then add them up.\n\nAlisa biked at 12 miles per hour for 4.5 hours, so she biked a total of 12 * 4.5 = 54 miles.\n\nStanley biked at 10 miles per hour for 2.5 hours, so he biked a total of 10 * 2.5 = 25 miles.\n\nThe total miles biked by Alisa and Stanley is 54 + 25 = 79 miles.\n\nThus, Alisa and Stanley biked a total of \\boxed{79} miles."} |
| {"idx": 821, "gold": "35", "pred": "35", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Hunter counted 50 cars when entering class.\n2. During the first break, he counted 20 more cars, so the total number of cars is now 50 + 20 = 70.\n3. When he got out of class for the lunch break, he realized that 1/2 the number of cars in the parking lot had gone. This means that 1/2 of 70 cars, which is 35 cars, had gone.\n4. To find the total number of cars he counted during lunch break, we subtract the number of cars that had gone from the total number of cars: 70 - 35 = 35.\n\nSo, Hunter counted \\boxed{35} cars during lunch break."} |
| {"idx": 548, "gold": "100", "pred": "100", "ok": true, "gen": "Let's denote Mark's initial weight as $x$ pounds.\nMark lost 10 pounds per month for 3 months, so he lost a total of $10 * 3 = 30$ pounds.\nHis final weight is 70 pounds, so we can set up the equation: $x - 30 = 70$.\nSolving for $x$, we get $x = 70 + 30 = 100$.\nThus, Mark's initial weight was \\boxed{100} pounds."} |
| {"idx": 135, "gold": "40", "pred": "40", "ok": true, "gen": "Brian originally had 20 video games but lost 5, so he now has 20 - 5 = 15 video games.\nBobby has 5 fewer than 3 times as many video games as Brian does.\nSo Bobby has 3 * 15 - 5 = 45 - 5 = 40 video games.\nThus, Bobby has \\boxed{40} video games."} |
| {"idx": 432, "gold": "30", "pred": "30", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Prince Thaddeus slew 100 dragons.\n2. Prince Arthur slew three quarters as many dragons as Prince Thaddeus, which is 3/4 * 100 = 0.75 * 100 = 75 dragons.\n3. Prince Walter slew twice as many dragons as Prince Arthur, which is 2 * 75 = 150 dragons.\n4. Prince Bruce slew one-fifth as many dragons as Prince Walter, which is 1/5 * 150 = 0.2 * 150 = 30 dragons.\n\nSo, Prince Bruce slain \\boxed{30} dragons."} |
| {"idx": 1161, "gold": "170", "pred": "140", "ok": false, "gen": "Abraham starts with 80 square meters of unused land.\nHe sells half of it for $50, which is $80 / 2 = 40$ square meters.\nHe sells another 1/4 of his land for $30, which is $80 / 4 = 20$ square meters.\nSo far, he has sold $40 + 20 = 60$ square meters.\nHe has $80 - 60 = 20$ square meters left.\nHe sells the remaining land for $3 per square meter, which is $20 * 3 = 60$ dollars.\nAdding up the money he earned from selling the first two pieces of land, we get $50 + 30 = 80$ dollars.\nAdding this to the money he earned from selling the remaining land, we get $80 + 60 = 140$ dollars.\nThus, Abraham will be able to earn \\boxed{140} dollars after selling all his unused land."} |
| {"idx": 644, "gold": "29", "pred": "29", "ok": true, "gen": "Steve is 60 years old.\nHis wife is 4 years older than him, so she is 60 + 4 = 64 years old.\nTheir son is half as old as his mom, so he is 64 / 2 = 32 years old.\nTheir son's wife is 3 years younger than her husband, so she is 32 - 3 = 29 years old.\nThus, Steve's son's wife is \\boxed{29} years old."} |
| {"idx": 435, "gold": "5", "pred": "5", "ok": true, "gen": "Ray had 25 lollipops and kept 5, so he shared 25 - 5 = 20 lollipops with his four friends.\nTo find out how many lollipops each friend received, we divide the total number of lollipops shared (20) by the number of friends (4).\n20 / 4 = 5.\nSo each of Ray's friends received \\boxed{5} lollipops."} |
| {"idx": 1022, "gold": "12", "pred": "12", "ok": true, "gen": "Let's denote the number of small stuffed animals as $x$.\nSince Teresa sold twice as many small stuffed animals as large ones, the number of large stuffed animals is $x/2$.\nEach small stuffed animal costs $4, so the total amount earned from selling small stuffed animals is $4*x$.\nEach large stuffed animal costs three times the price of a small stuffed animal, which is $4*3 = 12$.\nSo the total amount earned from selling large stuffed animals is $12*(x/2) = 6*x$.\nThe total amount earned from selling both small and large stuffed animals is $4*x + 6*x = 10*x$.\nThe problem states that this total amount is $120.\nSo $10*x = 120$ which implies $x = 12$.\nThus, Teresa sold \\boxed{12} small stuffed animals."} |
| {"idx": 810, "gold": "310", "pred": "310", "ok": true, "gen": "The number of students doubles every month. We start with 10 students.\n\nBy the end of the first month, there are $10 \\times 2 = 20$ students.\n\nBy the end of the second month, there are $20 \\times 2 = 40$ students.\n\nBy the end of the third month, there are $40 \\times 2 = 80$ students.\n\nBy the end of the fourth month, there are $80 \\times 2 = 160$ students.\n\nBy the end of the fifth month, there are $160 \\times 2 = 320$ students.\n\nThe number of additional students that joined by the end of May is the difference between the number of students at the end of May and the number of students at the beginning of the year:\n\\[ 320 - 10 = \\boxed{310} \\]"} |
| {"idx": 1316, "gold": "230", "pred": "230", "ok": true, "gen": "The original price of the radiator is $400.\nSince Mark gets it for 80% off, he pays 20% of the original price.\n20% of $400 is $400 * 20 / 100 = 8000 / 100 = 80$.\nSo Mark pays $80 for the radiator.\nThe mechanic then takes 3 hours at $50 an hour, so he pays $50 * 3 = 150$.\nThus, Mark pays a total of $80 + 150 = 230$.\nSo Mark paid \\boxed{230} dollars."} |
| {"idx": 939, "gold": "650", "pred": "650", "ok": true, "gen": "Craig has spelled out 20 words with 15 letters each, so the total number of letters Craig has spelled is 20 * 15 = 300.\nCraig's brother has spelled words with a total count of letters 50 more than Craig, so the total number of letters Craig's brother has spelled is 300 + 50 = 350.\nThe total number of letters in the words they've spelled after the ten rounds is 300 + 350 = 650.\nThus, the total number of letters in the words they've spelled after the ten rounds is \\boxed{650}."} |
| {"idx": 292, "gold": "75", "pred": "75", "ok": true, "gen": "Let's break down the time Susan works and the time she pauses.\nSusan works from 8 a.m. to 11 a.m., which is 3 hours.\nShe pauses for half an hour, which is 30 minutes.\nSo, the total time she works is 3 hours - 30 minutes = 2.5 hours.\nSince there are 60 minutes in an hour, 2.5 hours is equal to 2.5 x 60 = 150 minutes.\nSusan earns $5 every 10 minutes, so she earns $5 x 15 = 75$ dollars for the online task.\nThus, Susan earns \\boxed{75} dollars for the online task."} |
| {"idx": 542, "gold": "7", "pred": "7", "ok": true, "gen": "To find the change Verna received, we need to calculate the total cost of the fruits she bought.\n\nThe cost of three apples at $1.50 each is $1.50 * 3 = 4.50$.\nThe cost of five oranges at $0.80 each is $0.80 * 5 = 4$.\nThe cost of six peaches at $0.75 each is $0.75 * 6 = 4.50$.\nThe total cost of the fruits is $4.50 + 4 + 4.50 = 8.5 + 4.50 = 13$.\n\nVerna gave $20, so the change she received is $20 - 13 = 7$.\n\nThus, Verna received \\boxed{7} dollars in change."} |
| {"idx": 505, "gold": "1600", "pred": "1200", "ok": false, "gen": "To find the most popsicle sticks Frederick can make, we need to find the cheapest way to buy the wood and then calculate the total number of sticks he can make.\n\nA 2 x 4 piece of wood costs $4 and gives 200 sticks.\nA 2 x 8 piece of wood costs $6 and gives 400 sticks.\n\nSince $4 is less than $6, Frederick should buy the 2 x 4 pieces of wood.\n\nHe has $24 to spend, so he can buy $24 / $4 = 6 pieces of 2 x 4 wood.\n\n6 pieces of 2 x 4 wood will give him 6 x 200 = 1200 sticks.\n\nThus, Frederick can make the most popsicle sticks by buying the cheapest lumber, which is \\boxed{1200} sticks."} |
| {"idx": 1103, "gold": "90", "pred": "90", "ok": true, "gen": "Let's denote the total number of jellyfish in the tank as $x$.\nA fifth of the jellyfish are large, so the number of large jellyfish is $x/5$.\nA third of the large jellyfish change color from green to blue under UV light, so the number of large jellyfish that change color is $(x/5)/3 = x/15$.\nWe are given that 6 jellyfish changed color, so we can set up the equation $x/15 = 6$.\nMultiplying both sides by 15, we get $x = 90$.\nThus, there are \\boxed{90} jellyfish in the tank."} |
| {"idx": 538, "gold": "18", "pred": "72", "ok": false, "gen": "Let's calculate the total number of vlogs Emma has made so far.\nShe made 18 vlogs for the first week, 21 vlogs for the second week, and 15 vlogs for the third week.\nSo, the total number of vlogs she has made so far is 18 + 21 + 15 = 39 + 15 = 54\nSince Emma needs to make 72 vlogs per month, she still needs to make 72 - 54 = 18 vlogs.\nThus, Emma should do \\boxed{18} vlogs to complete the 72 vlogs per month."} |
| {"idx": 1197, "gold": "2400", "pred": "2400", "ok": true, "gen": "Let's break down the problem step by step.\n\nJohn buys 10 bottles of scotch for a total cost of $600. To find the cost per bottle of Scotch, we divide the total cost by the number of bottles:\n\n$600 \u00f7 10 = $60 per bottle of Scotch\n\nJohn buys twice as many bottles of cognac as Scotch, which means he buys 2 x 10 = 20 bottles of cognac.\n\nThe cost per bottle of cognac is 50% more than the cost per bottle of Scotch, which means it is:\n\n$60 + (50% of $60) = $60 + $30 = $90 per bottle of cognac\n\nThe total cost of 20 bottles of cognac is:\n\n$90 per bottle x 20 bottles = $1800\n\nThe total amount John spends on everything is the sum of the cost of Scotch and cognac:\n\n$600 (Scotch) + $1800 (Cognac) = $2400\n\nSo, John spends \\boxed{2400} dollars on everything."} |
| {"idx": 877, "gold": "7000", "pred": "7000", "ok": true, "gen": "To make a profit of $2000, Isaias needs to sell the chickens he planned to take to the market for $50 per chicken.\nHe plans to sell 3/5 of the chickens he has on his farm.\nSince he has 300 chickens, he plans to sell 3/5 * 300 = 0.6 * 300 = 180 chickens.\nThe total amount of money he will make from selling these chickens is $50 * 180 = 9000$.\nSince his profit is $2000, the amount he spent on the chickens he took to the market is $9000 - 2000 = 7000$.\nThus, Isaias bought the chicken he took to the market for sale for \\boxed{7000} dollars."} |
| {"idx": 1195, "gold": "320", "pred": "320", "ok": true, "gen": "Let's break down the number of people who entered the restaurant each time:\n\n* In the morning, 50 people entered.\n* At around 10:00, 40 more people entered, making a total of 50 + 40 = 90 people.\n* After a while, twice the number of people who entered at 10:00 came in, which is 2 x 40 = 80 people. So, the total number of people who entered is now 90 + 80 = 170.\n* By evening, an additional 3 times as many people as the number that came in first had entered the restaurant, which is 3 x 50 = 150 people. So, the total number of people who entered is now 170 + 150 = 320.\n\nThus, the total number of people that entered the restaurant on that day is \\boxed{320}."} |
| {"idx": 817, "gold": "15", "pred": "15", "ok": true, "gen": "Let's calculate the total number of cupcakes Paul already has.\nHe has 8 chocolate cupcakes and 40 toasting cupcakes, so he has a total of 8 + 40 = 48 cupcakes.\nSince he needs 63 cupcakes, he needs to buy 63 - 48 = 15 more cupcakes.\nThus, Paul should buy \\boxed{15} more cupcakes."} |
| {"idx": 741, "gold": "28", "pred": "28", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Jeremy saw 12 birds in their backyard.\n2. He threw a stone at them, scaring away 1/3 of that number, which is 12 * 1/3 = 12/3 = 4 birds.\n3. So, the number of birds left after the stone was thrown is 12 - 4 = 8 birds.\n4. A few minutes later, 20 more birds joined the fearless birds, making the total number of birds in the backyard 8 + 20 = 28.\n\nTherefore, there are now \\boxed{28} birds in the backyard."} |
| {"idx": 283, "gold": "68", "pred": "68", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Each necklace has 8 topaz gemstones, and each gemstone is 1 inch long, so the total length of the gemstones is 8 inches.\n2. The total length of the necklace is 25 inches, so the length of the sterling silver beads is 25 - 8 = 17 inches.\n3. Each sterling silver bead is 1/4 inch long, so the number of sterling silver beads used per necklace is 17 / (1/4) = 17 * 4 = 68.\n\nThus, Katerina uses \\boxed{68} sterling silver beads per necklace."} |
| {"idx": 1043, "gold": "130000", "pred": "130000", "ok": true, "gen": "To find the total number of people in South America, we need to multiply the number of countries, cities per country, and people per city.\n\nNumber of countries = 26\nNumber of cities per country = 5\nNumber of people per city = 1000\n\nTotal number of people = Number of countries * Number of cities per country * Number of people per city\n= 26 * 5 * 1000\n= 130,000\n\nSo, there are \\boxed{130,000} people in South America."} |
| {"idx": 1010, "gold": "5", "pred": "5", "ok": true, "gen": "Let's break down the information given:\n\n* Bethany can run 10 laps in one hour.\n* Trey can run 4 more laps than Bethany, so Trey can run 10 + 4 = 14 laps in one hour.\n* Shaelyn can run half as many laps as Trey, so Shaelyn can run 14 / 2 = 7 laps in one hour.\n* Quinn can run 2 fewer laps than Shaelyn, so Quinn can run 7 - 2 = 5 laps in one hour.\n\nNow, let's compare the number of laps Bethany can run to the number of laps Quinn can run:\n\n* Bethany can run 10 laps in one hour.\n* Quinn can run 5 laps in one hour.\n\nThe difference between the number of laps Bethany can run and the number of laps Quinn can run is:\n\n10 - 5 = 5\n\nSo, Bethany can run \\boxed{5} more laps compared to Quinn."} |
| {"idx": 186, "gold": "5", "pred": "5", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. The total number of pieces of straw distributed among the small rodents is 160.\n2. The hamsters are given 5 pieces of straw each, and there are 10 cages of hamsters, so the total number of pieces of straw given to hamsters is 5 x 10 = 50.\n3. The rabbits are given 20 pieces of straw.\n4. The total number of pieces of straw given to hamsters and rabbits is 50 + 20 = 70.\n5. Since the total number of pieces of straw distributed among the small rodents is 160, the number of pieces of straw given to the rats is 160 - 70 = 90.\n6. The rats are kept in 3 cages in equal groups, and each rat is given 6 pieces of straw. Let's call the number of rats in each cage x. Then, the total number of pieces of straw given to the rats is 6x x 3 = 18x.\n7. Since the total number of pieces of straw given to the rats is 90, we can set up the equation 18x = 90.\n8. Solving for x, we get x = 90 / 18 = 5.\n\nTherefore, there are \\boxed{5} rats in each cage."} |
| {"idx": 96, "gold": "3", "pred": "3", "ok": true, "gen": "Let's break it down:\n\nHarry slept 9 hours last night.\nJames slept only 2/3 of what Harry slept, which is 2/3 * 9 = 0.6666666666666666 * 9 = 6 hours.\nTo find out how many more hours Harry slept than James, we subtract James' sleep time from Harry's sleep time: 9 - 6 = 3 hours.\n\nSo, Harry slept \\boxed{3} more hours than James."} |
| {"idx": 224, "gold": "180", "pred": "180", "ok": true, "gen": "To find the total amount Carlos and Benji will pay for their rentals, we need to calculate the cost of each rental and then add them up.\n\nCarlos rents a canoe for $30 an hour and uses it for 3 hours, so the total cost for Carlos is $30 * 3 = 90$.\n\nBenji rents a banana boat raft for $18 an hour and uses it for 5 hours, so the total cost for Benji is $18 * 5 = 90$.\n\nThe total amount they will pay for their rentals is $90 + 90 = 180$.\n\nThus, Carlos and Benji will pay \\boxed{180} dollars for their rentals altogether."} |
| {"idx": 313, "gold": "120000", "pred": "120000", "ok": true, "gen": "Let's break down the problem step by step.\n\nSix years ago, Cera was 46 - 6 = 40 years old.\nAt that time, Noah was half as old as Cera, so Noah was 40 / 2 = 20 years old.\n\nThe population of Chile six years ago was 3000 times the age of Noah, so it was 3000 * 20 = 60000.\n\nSince the population of Chile six years ago was half what it is now, the current population of Chile is 2 * 60000 = 120000.\n\nThus, the population of Chile now is \\boxed{120000}."} |
| {"idx": 1285, "gold": "1218", "pred": "142", "ok": false, "gen": "To find out how many meals Mamou has left to distribute, we need to subtract the total number of meals she gave out from the total number of meals she had.\n\nTotal meals given out = 64 + 30 + 48 = 94 + 48 = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal meals given out = 142 meals\n\nTotal"} |
| {"idx": 327, "gold": "31", "pred": "31", "ok": true, "gen": "Let's break down the sequence of events:\n\n1. Oscar starts with 24 lollipops.\n2. He eats 2 on his way to school, leaving him with 24 - 2 = 22 lollipops.\n3. He passes 14 out to his friends, leaving him with 22 - 14 = 8 lollipops.\n4. He buys twice as many lollipops on his way home as he gave to his friends, which is 2 x 14 = 28 lollipops. Now he has 8 + 28 = 36 lollipops.\n5. He eats 3 more that night, leaving him with 36 - 3 = 33 lollipops.\n6. He eats 2 more in the morning, leaving him with 33 - 2 = 31 lollipops.\n\nSo, Oscar has \\boxed{31} lollipops."} |
| {"idx": 1221, "gold": "10", "pred": "10", "ok": true, "gen": "To determine how much seasoning Aiden needs, we first need to find out how many pounds of ground beef he needs to make 80 meatballs.\n\nSince he gets 16 meatballs from each pound of meat, we divide 80 by 16 to find out how many pounds of meat he needs:\n80 / 16 = 5 pounds of meat.\n\nSince he adds 2 tablespoons of seasoning for every pound of meat, we multiply the number of pounds of meat by the amount of seasoning per pound:\n5 pounds * 2 tablespoons/pound = 10 tablespoons.\n\nThus, Aiden will need \\boxed{10} tablespoons of his secret seasoning."} |
| {"idx": 130, "gold": "30", "pred": "30", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. A third of the elves quit after children vomit on them. Since there are 60 elves, a third of them is 60 / 3 = 20 elves.\n2. So, 20 elves quit, leaving 60 - 20 = 40 elves.\n3. Then, 10 of the remaining elves quit after kids kick their shins. This leaves 40 - 10 = 30 elves.\n\nTherefore, there are \\boxed{30} elves left."} |
| {"idx": 788, "gold": "100", "pred": "100", "ok": true, "gen": "The school will cover half of the cost of the trip, which is $300 / 2 = 150$.\nJohn has $50, so he is missing $150 - 50 = 100$.\nThus, John is missing \\boxed{100} dollars."} |
| {"idx": 781, "gold": "17", "pred": "2", "ok": false, "gen": "Let's denote the cost of each of the other two pizzas as $x$.\nThe total cost of the four pizzas is $64.\nTwo pizzas cost $30 each, so their total cost is $30 * 2 = 60$.\nThe cost of the other two pizzas is $x * 2 = 2x$.\nThe total cost of all four pizzas is the sum of the cost of the two pizzas that cost $30 each and the cost of the other two pizzas.\nSo we have $60 + 2x = 64$.\nSolving for $x$, we get $2x = 64 - 60 = 4$, which implies $x = 2$.\nThus, each of the other two pizzas cost \\boxed{2} dollars."} |
| {"idx": 1220, "gold": "32", "pred": "32", "ok": true, "gen": "Let's denote the length of the shorter piece as $x$.\nSince the longer piece is 4 times longer than the shorter piece, its length is $4*x$.\nThe total length of the board is 40 feet, so the sum of the lengths of the two pieces is $x + 4*x = 5*x$.\nSince the total length of the board is 40 feet, we have $5*x = 40$.\nSolving for $x$, we get $x = 8$.\nSince the longer piece is $4*x$, its length is $4*8 = 32$ feet.\nThus, the longer piece is \\boxed{32} feet long."} |
| {"idx": 958, "gold": "40", "pred": "38", "ok": false, "gen": "Let's denote the actual number of people who attended the concert as $x$.\nSince Courtney overstated the number of people by 20%, the actual number of people is 80% of the reported number.\nSo we can write the equation $x = 0.8 * 48$.\nSolving for $x$, we get $x = 38.4$.\nSince the number of people must be an integer, we round down to the nearest integer.\nThus, the actual number of people who attended the concert is \\boxed{38}."} |
| {"idx": 1083, "gold": "2", "pred": "2", "ok": true, "gen": "To calculate the savings, we first need to calculate the total cost of buying the bananas individually and then subtract that from the total cost of buying the bananas in bunches.\n\nThe total number of bananas Jenny bought is 10 bunches * 4 bananas per bunch = 40 bananas.\n\nThe cost of buying the bananas individually is 40 bananas * $0.80 per banana = $32.\n\nThe cost of buying the bananas in bunches is 10 bunches * $3.00 per bunch = $30.\n\nThe savings is the difference between the cost of buying the bananas individually and the cost of buying them in bunches, which is $32 - $30 = $2.\n\nSo, Jenny saved \\boxed{2} dollars by buying the bananas in bunches instead of individually."} |
| {"idx": 514, "gold": "90000", "pred": "90000", "ok": true, "gen": "Let's denote the cost of the lot as $x$.\nSince the house cost three times as much as the lot, the cost of the house is $3*x$.\nThe total cost of the house and the lot is $120,000, so we can write the equation: $x + 3*x = 120,000$.\nCombining like terms, we get $4*x = 120,000$.\nDividing both sides by 4, we find that $x = 30,000$.\nSince the house cost three times as much as the lot, the house cost $3*x = 3*30,000 = 90,000$.\nThus, the house cost \\boxed{90,000} dollars."} |
| {"idx": 1133, "gold": "50", "pred": "3", "ok": false, "gen": "Let's break down the problem step by step.\n\nGrandma walks 2 miles on the beach and 1 mile on the sidewalk. \nShe walks at twice the rate on the sidewalk than on the beach. \nLet's denote her speed on the beach as x miles per minute. \nThen, her speed on the sidewalk is 2x miles per minute.\n\nThe time it takes to walk 2 miles on the beach is 40 minutes. \nWe can use the formula time = distance / speed to find x. \nSo, 40 = 2 / x, which implies x = 2 / 40 = 0.05 miles per minute.\n\nNow, we can find the time it takes to walk 1 mile on the sidewalk. \nTime = distance / speed = 1 / (2 * 0.05) = 1 / 0.1 = 10 minutes.\n\nThe total time it takes to complete the entire 3-mile walk is the sum of the time it takes to walk on the beach and the sidewalk. \nSo, the total time is 40 + 10 = 50 minutes.\n\nThus, it takes Grandma \\boxed{50} minutes to complete the entire 3-mile walk."} |
| {"idx": 23, "gold": "8", "pred": "00", "ok": false, "gen": "The candle melts by 2 centimeters every hour.\nFrom 1:00 PM to 5:00 PM is 4 hours.\nSo the candle will melt by 2 * 4 = 8 centimeters.\nThus, the candle will be \\boxed{8} centimeters shorter after burning from 1:00 PM to 5:00 PM."} |
| {"idx": 234, "gold": "21", "pred": "21", "ok": true, "gen": "Since Steve eats twice as much as his girlfriend, his girlfriend eats 6 / 2 = 3 tomatoes per day.\nSo in total, Steve and his girlfriend eat 6 + 3 = 9 tomatoes per day.\nSince there are 7 days in a week, they eat 9 * 7 = 63 tomatoes per week.\nSince a vine can produce 3 tomatoes per week, Steve needs 63 / 3 = 21 vines.\nThus, Steve needs \\boxed{21} vines."} |
| {"idx": 1099, "gold": "2", "pred": "2", "ok": true, "gen": "To find out how much longer it takes to ride the biggest slide compared to the second biggest slide, we need to calculate the time it takes to ride each slide and then find the difference.\n\nTime = Distance / Speed\n\nFor the biggest slide:\nTime = 300 feet / 60 feet/minute = 5 minutes\n\nFor the second biggest slide:\nTime = 240 feet / 80 feet/minute = 3 minutes\n\nThe difference in time is:\n5 minutes - 3 minutes = 2 minutes\n\nSo, it takes \\boxed{2} minutes longer to ride the biggest slide compared to the second biggest slide."} |
| {"idx": 1312, "gold": "180", "pred": "30", "ok": false, "gen": "Let's break down the problem:\n\n* Tom's restaurant gets 6 reservations a night.\n* They order 2 meals that cost $5 each, so the total cost of meals is 2 x $5 = $10.\n* They also order a $5 bottle of wine.\n* The total revenue per night is $10 + $5 = $15.\n* They are open 2 days a week, so the total revenue per week is $15 x 2 = $30.\n\nThus, Tom's restaurant makes \\boxed{30} dollars a week."} |
| {"idx": 601, "gold": "104", "pred": "3", "ok": false, "gen": "Let's break down the number of games Steve buys each year:\n\nYear 1: 1 game/month x 12 months = 12 games\nYear 2: 2 games/month x 12 months = 24 games\nYear 3: 4 games/month x 12 months = 48 games\n\nTotal games bought in 3 years = 12 + 24 + 48 = 36 + 48 = 84 games\n\nSteve also gets 5 games for Christmas every year, so he gets a total of 5 x 3 = 15 games for Christmas.\n\nAdding the games he bought and the games he got for Christmas, Steve has a total of 84 + 15 = 99 games after 3 years.\n\nSo, Steve has \\boxed{99} games after 3 years."} |
| {"idx": 890, "gold": "25", "pred": "25", "ok": true, "gen": "Let's break down the information:\n\n* One-fourth of the plants are indoor, which is 100 * 1/4 = 100/4 = 25 indoor plants.\n* The remaining plants are 100 - 25 = 75.\n* Two-thirds of the remaining are outdoor, which is 75 * 2/3 = 150/3 = 50 outdoor plants.\n* The rest are flowering plants, which is 75 - 50 = 25 flowering plants.\n\nTo find the percentage of flowering plants, divide the number of flowering plants by the total number of plants and multiply by 100:\n\n(25/100) * 100 = 0.25 * 100 = 25%\n\nSo, 25% of the plants are flowering plants.\n\nAnswer: \\boxed{25}"} |
| {"idx": 323, "gold": "75", "pred": "75", "ok": true, "gen": "To find out how many milliliters weaker Shannon's iced coffee is, we need to calculate the total amount of ice cubes used to cool the coffee and then add the amount of cream.\n\nSince each ice cube cools the coffee by 13 degrees, we can divide the total cooling by 13 to find the number of ice cubes used:\n65 degrees / 13 degrees per ice cube = 5 ice cubes.\n\nEach ice cube makes the coffee 12 milliliters weaker, so the total weakening from ice cubes is:\n5 ice cubes * 12 milliliters per ice cube = 60 milliliters.\n\nAdding 15 milliliters of cream to the coffee, the total weakening is:\n60 milliliters + 15 milliliters = 75 milliliters.\n\nThus, Shannon's iced coffee is \\boxed{75} milliliters weaker."} |
| {"idx": 929, "gold": "60", "pred": "60", "ok": true, "gen": "To find out how much farther the bus went than the car, we need to calculate the distance each traveled and then find the difference.\n\nThe bus traveled 60 miles per hour for 5 hours, so the distance it traveled is:\n60 miles/hour * 5 hours = 300 miles\n\nThe car traveled 30 miles per hour for 8 hours, so the distance it traveled is:\n30 miles/hour * 8 hours = 240 miles\n\nNow, we find the difference in distance:\n300 miles - 240 miles = 60 miles\n\nSo, the bus went \\boxed{60} miles farther than the car."} |
| {"idx": 6, "gold": "260", "pred": "260", "ok": true, "gen": "Let's break down the information given:\n\n* Seattle has 20 sheep.\n* Charleston has 4 times as many sheep as Seattle, so Charleston has 4 x 20 = 80 sheep.\n* Toulouse has twice as many sheep as Charleston, so Toulouse has 2 x 80 = 160 sheep.\n\nTo find the total number of sheep, we add the number of sheep in each city:\n\n20 (Seattle) + 80 (Charleston) + 160 (Toulouse) = 260\n\nSo, Toulouse, Charleston, and Seattle have \\boxed{260} sheep together."} |
| {"idx": 539, "gold": "35", "pred": "30", "ok": false, "gen": "To find out how much you ended up paying, we need to calculate the tip first and then add it to the amount your wife is splitting the check.\n\nThe tip is 20% of the dinner bill, which is $50 * 20 / 100 = 1000 / 100 = 10$.\n\nSince your wife wants to split the check evenly, you will pay half of the total amount, which is $50 + 10 = 60$.\n\nSo, you will pay $60 / 2 = 30$.\n\nThus, you ended up paying \\boxed{30} dollars."} |
| {"idx": 1025, "gold": "30", "pred": "30", "ok": true, "gen": "The Smith twins found a total of $30 + 30 = 60$ eggs.\nThere were originally 100 eggs, so the remaining eggs are $100 - 60 = 40$.\nThe friends found all the remaining eggs except 10, so they found $40 - 10 = 30$ eggs.\nThus, the friends found \\boxed{30} eggs."} |
| {"idx": 365, "gold": "18", "pred": "18", "ok": true, "gen": "There are 6 girls in the park.\nThere are twice the number of boys in the park, so there are 2 * 6 = 12 boys.\nThe total number of kids in the park is the sum of the number of girls and boys, which is 6 + 12 = 18.\nThus, there are \\boxed{18} kids in the park."} |
| {"idx": 1039, "gold": "160", "pred": "160", "ok": true, "gen": "To find the total area of fabric Jim needs to buy, we first need to find the area of one piece of fabric and then multiply it by 2.\n\nThe bed measures 6 feet long by 8 feet wide, so its area is 6 * 8 = 48 square feet.\n\nSince Jim needs two pieces of fabric that are 2 feet longer and 2 feet wider than the bed, the dimensions of each piece of fabric will be (6 + 2) feet long and (8 + 2) feet wide, which is 8 feet long and 10 feet wide.\n\nThe area of one piece of fabric is 8 * 10 = 80 square feet.\n\nSince Jim needs two pieces of fabric, the total area of fabric he needs to buy is 2 * 80 = 160 square feet.\n\nThus, Jim needs to buy \\boxed{160} square feet of fabric."} |
| {"idx": 217, "gold": "15", "pred": "15", "ok": true, "gen": "There are 4 roses in the vase.\nThere are 7 more dahlias than roses in the vase.\nSo there are 4 + 7 = 11 dahlias in the vase.\nThe total number of flowers in the vase is 4 + 11 = 15.\nThus, there are \\boxed{15} flowers in the vase."} |
| {"idx": 1280, "gold": "7", "pred": "7", "ok": true, "gen": "Let's break it down step by step:\n\nSteve took 10 hours to complete the puzzle.\nHalf of Steve's time is 10 / 2 = 5 hours.\nAnna took 2 hours more than half Steve's time, so she took 5 + 2 = 7 hours.\n\nTherefore, it took Anna \\boxed{7} hours to finish the difficult puzzle."} |
| {"idx": 611, "gold": "1450000", "pred": "850000", "ok": false, "gen": "Let's break down the problem into two parts: the initial funding for the first 5 months and the funding for the remaining 5 months.\n\nThe initial funding for the first 5 months is $100,000.\n\nFor the remaining 5 months, the funding per month is 50% more than the initial funding. 50% of $100,000 is $50,000, so the funding per month for the remaining 5 months is $100,000 + $50,000 = $150,000.\n\nThe total funding for the remaining 5 months is $150,000 * 5 = $750,000.\n\nThe total cost of John's research is the sum of the initial funding and the funding for the remaining 5 months: $100,000 + $750,000 = $850,000.\n\nThus, John's research cost \\boxed{850,000} dollars."} |
| {"idx": 1308, "gold": "30", "pred": "30", "ok": true, "gen": "\n\nLet's determine the total number of eggs in both baskets step by step.\n\n1. **Number of eggs in the first basket:**\n \\[\n \\text{Eggs in first basket} = 10\n \\]\n\n2. **Number of eggs in the second basket:**\n \\[\n \\text{Eggs in second basket} = 2 \\times \\text{Eggs in first basket} = 2 \\times 10 = 20\n \\]\n\n3. **Total number of eggs in both baskets:**\n \\[\n \\text{Total eggs} = \\text{Eggs in first basket} + \\text{Eggs in second basket} = 10 + 20 = 30\n \\]\n\n**Final Answer:**\n\\[\n\\boxed{30}\n\\]"} |
| {"idx": 765, "gold": "490", "pred": "490", "ok": true, "gen": "George has 200 bananas.\nHe has 45% more pears than bananas.\n45% of 200 is $200 * 45 / 100 = 9000 / 100 = 90$.\nSo George has $200 + 90 = 290$ pears.\nThus, George has a total of $200 + 290 = 490$ fruits.\nSo George has \\boxed{490} fruits."} |
| {"idx": 330, "gold": "31", "pred": "37", "ok": false, "gen": "The customer's loyalty card gives them $1 off for every $20 they spend.\nSince they spent $43 on this shopping trip, they get $1 off for every $20 they spend, which is $43 / 20 = 2$ times.\nSo they get a total of $2 * 1 = 2$ dollars off.\nThe coupon takes twice the amount of rewards off the price, which is $2 * 2 = 4$ dollars.\nSo the total amount of money they get off is $2 + 4 = 6$ dollars.\nThe original price of the shopping trip is $43.\nSo the customer pays $43 - 6 = 37$ dollars on this shopping trip.\nThus, the customer paid \\boxed{37} dollars on this shopping trip."} |
| {"idx": 1104, "gold": "24", "pred": "24", "ok": true, "gen": "Let's break down the information given:\n\n* Chris is 4 years old.\n* Ben is two times older than Chris, so Ben is 2 x 4 = 8 years old.\n* Caroline is three times older than Ben, so Caroline is 3 x 8 = 24 years old.\n\nThus, Caroline is \\boxed{24} years old."} |
| {"idx": 1086, "gold": "131250", "pred": "121250", "ok": false, "gen": "Let's break down the problem step by step:\n\n1. Marcel sold a total of 300 bikes.\n2. Half of them were Trekking bikes, which is 300 / 2 = 150 bikes.\n3. 15% of them were BMX bikes, which is 300 * 15 / 100 = 4500 / 100 = 45 bikes.\n4. The rest of the sold bikes were MTB type, which is 300 - 150 - 45 = 150 - 45 = 105 bikes.\n\nNow, let's calculate the total earnings:\n\n* Trekking bikes: 150 bikes * $450 = $67,500\n* BMX bikes: 45 bikes * $250 = $11,250\n* MTB bikes: 105 bikes * $500 = $52,500\n\nTotal earnings: $67,500 + $11,250 + $52,500 = $121,250\n\nSo, Marcel earned \\boxed{121,250} dollars from selling bicycles during that month."} |
| {"idx": 1, "gold": "3", "pred": "3", "ok": true, "gen": "The robe takes 2 bolts of blue fiber.\nIt also takes half that much white fiber, which is 2 / 2 = 1 bolt of white fiber.\nSo the total number of bolts is 2 + 1 = 3.\nThus, the robe takes \\boxed{3} bolts in total."} |
| {"idx": 1226, "gold": "90", "pred": "96", "ok": false, "gen": "Let's break down the costs:\n\n* Manicure: $35\n* Pedicure: $40\n* Total cost without discount: $35 + $40 = $75\n* 20% discount: $75 * 20 / 100 = $15\n* Total cost after discount: $75 - $15 = $60\n* Nail art: $3 per nail, and Karen has 12 fingers, so $3 * 12 = $36\n* Total cost: $60 + $36 = $96\n\nKaren would pay \\boxed{96} dollars in all."} |
| {"idx": 663, "gold": "193", "pred": "193", "ok": true, "gen": "\n\nJames delivers a total of 600 newspapers in a day. He delivers 198 newspapers to District A and 209 newspapers to District C. To find out how many newspapers he delivers to District B, we subtract the number of newspapers delivered to Districts A and C from the total number of newspapers delivered:\n\n\\[\n600 - 198 - 209\n\\]\n\nFirst, subtract the newspapers delivered to Districts A and C:\n\n\\[\n600 - 198 = 402\n\\]\n\\[\n402 - 209 = 193\n\\]\n\nThus, James delivers \\(\\boxed{193}\\) newspapers to District B."} |
| {"idx": 1000, "gold": "1", "pred": "1", "ok": true, "gen": "To find out how many hours Doctor Jones will have left to update his records, we need to calculate the total time he spends on inpatient checks and appointments.\n\nThe time spent on inpatient checks is 9 inpatients * 20 minutes per inpatient = 180 minutes.\nThe time spent on appointments is 10 appointments * 30 minutes per appointment = 300 minutes.\n\nThe total time spent is 180 minutes + 300 minutes = 480 minutes.\n\nSince there are 60 minutes in an hour, we can convert the total time spent to hours by dividing by 60: 480 minutes / 60 = 8 hours.\n\nDoctor Jones is already spending 9 hours at the clinic, so he will have 9 hours - 8 hours = 1 hour left to update his records.\n\nThus, Doctor Jones will have \\boxed{1} hour left to update his records."} |
| {"idx": 39, "gold": "18", "pred": "24", "ok": false, "gen": "Let's break down the information given:\n\n* Dana can skip at 3 miles per hour.\n* She can run at twice as fast as she can skip, so she can run at 2 x 3 = 6 miles per hour.\n* She can walk at one-fourth the speed of running, so she can walk at 6 / 4 = 1.5 miles per hour.\n\nNow, let's calculate the distance she can travel in six hours:\n\n* She spends one-third of the time running, which is 6 x 1/3 = 2 hours. In this time, she can run 6 x 2 = 12 miles.\n* She spends two-thirds of the time walking, which is 6 x 2/3 = 4 hours. In this time, she can walk 1.5 x 4 = 6 miles.\n* She can skip at 3 miles per hour, so in 2 hours, she can skip 3 x 2 = 6 miles.\n\nAdding up the distances she can travel, we get: 12 + 6 + 6 = 18 + 6 = 24 miles.\n\nThus, Dana can travel \\boxed{24} miles in six hours."} |
| {"idx": 229, "gold": "21", "pred": "21", "ok": true, "gen": "Let's break down the problem step by step.\n\nInitially, there were 120 baby watermelons.\n\nAfter two months, 30% of the watermelons were ready for harvest, so Ashlyn took home 30% of 120, which is 0.3 x 120 = 36 watermelons.\n\nThis means that 120 - 36 = 84 watermelons were not ready for harvest initially.\n\nWhen Ashlyn came back two weeks later, 3/4 of the remaining melons were ready, so she harvested 3/4 of 84, which is 0.75 x 84 = 63 watermelons.\n\nThis means that 84 - 63 = 21 watermelons were not ready to be harvested after the two weeks.\n\nSo, the answer is \\boxed{21}."} |
| {"idx": 743, "gold": "8", "pred": "8", "ok": true, "gen": "Let's break down the sequence of events:\n\n1. Mara added 3 slices of cake to a plate that already had 2 slices on it, so the total number of slices is 2 + 3 = 5.\n2. She tripled the number of slices she currently has, so the total number of slices is 5 * 3 = 15.\n3. She ate 2 slices, so the total number of slices is 15 - 2 = 13.\n4. Her friend stole 5 slices off her plate, so the total number of slices is 13 - 5 = 8.\n\nThus, the number of cake slices that remained on the plate is \\boxed{8}."} |
| {"idx": 629, "gold": "17500", "pred": "24250", "ok": false, "gen": "To find out how much James made, we first need to calculate the total cost of acquiring the cars and the total revenue from selling them.\n\nThe total cost of acquiring the cars is 30% of $25,000, which is $25,000 * 30 / 100 = $7,500.\n\nThe total revenue from selling the cars is $25,000 * 10 = $250,000.\n\nThe profit from selling the cars is the total revenue minus the total cost, which is $250,000 - $7,500 = $242,500.\n\nJames got a 10% commission on the profits, which is $242,500 * 10 / 100 = $24,250.\n\nSo James made \\boxed{24250} dollars."} |
| {"idx": 490, "gold": "4", "pred": "4", "ok": true, "gen": "The child already has $4 savings and needs $12 to buy the toy car.\nSo he still needs $12 - 4 = 8$.\nHe promises to save $2 daily from his allowance.\nSo the number of days it will take him to save the remaining amount of money is $8 / 2 = 4$.\nThus, it will take him \\boxed{4} days to save the remaining amount of money."} |
| {"idx": 118, "gold": "4", "pred": "4", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Initially, 2 containers were counted, each containing 5 vehicles. So, the total number of vehicles initially is 2 x 5 = 10.\n2. The next day, more containers were brought in, and the total number of vehicles became 30.\n3. To find the number of containers imported on the second day, we need to subtract the initial number of vehicles from the final number of vehicles: 30 - 10 = 20.\n4. Since each container contains 5 vehicles, we can divide the number of vehicles imported on the second day by 5 to find the number of containers: 20 / 5 = 4.\n\nTherefore, the number of containers imported on the second day is \\boxed{4}."} |
| {"idx": 493, "gold": "25", "pred": "150", "ok": false, "gen": "Heather buys 2 packs of razors. \nEach pack costs $4.00, so 2 packs will cost $4.00 * 2 = 8.00$.\nShe also has a $2.00 coupon, so she will pay $8.00 - 2.00 = 6.00$.\nSince the razors are on sale for buy one get one free, she will pay for 2 of the 4 razors in each pack.\nSo she will pay $6.00 * 2 = 12.00$ for 8 razors.\nThe cost of each individual razor is $12.00 / 8 = 1.50$ dollars.\nTo convert this to cents, we multiply by 100, which gives us $1.50 * 100 = 150$ cents.\nThus, each individual razor will cost \\boxed{150} cents after the discount."} |
| {"idx": 175, "gold": "15", "pred": "15", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. The cost of lemons per gallon is $3.\n2. The cost of sugar per gallon is $2.\n3. The total cost per gallon is $3 + $2 = $5.\n4. They sell each glass for $0.50 and get 20 glasses per gallon, so the total revenue per gallon is $0.50 x 20 = $10.\n5. The profit per gallon is the total revenue minus the total cost, which is $10 - $5 = $5.\n6. They made a total profit of $25, so they sold 25 / $5 = 5 gallons of lemonade.\n7. Since the cost of lemons per gallon is $3, they spent $3 x 5 = $15 on lemons.\n\nTherefore, Juan and Carlos spent \\boxed{15} dollars on lemons."} |
| {"idx": 995, "gold": "12", "pred": "12", "ok": true, "gen": "Adam's mother gave him $6.\nHis father gave him twice as much, so he gave him $6 * 2 = 12$.\nThe total amount Adam received from his parents is $6 + 12 = 18$.\nSince Adam spent $30, he had to contribute $30 - 18 = 12$ from his savings.\nThus, Adam had to contribute \\boxed{12} dollars from his savings."} |
| {"idx": 141, "gold": "400", "pred": "400", "ok": true, "gen": "Let's denote the number of queens as $x$.\nSince there are twice as many babies as queens, the number of babies is $2*x$.\nSince there are twice as many worker bees as baby bees, the number of worker bees is $2*(2*x) = 4*x$.\nThe total number of bees is the sum of the number of queens, babies, and worker bees, which is $x + 2*x + 4*x = 7*x$.\nThe problem states that there are 700 bees in the hive, so $7*x = 700$.\nThis implies that $x = 100$.\nSince there are 4 times as many worker bees as queens, the number of worker bees is $4*x = 4*100 = 400$.\nThus, there are \\boxed{400} worker bees in the hive."} |
| {"idx": 1090, "gold": "72", "pred": "72", "ok": true, "gen": "To find the height of the fourth child, we need to calculate the height of each child step by step.\n\nThe first child is 6 feet tall. Since there are 12 inches in a foot, the first child is 6 * 12 = 72 inches tall.\n\nThe second child is 2 inches taller than the first child, so the second child is 72 + 2 = 74 inches tall.\n\nThe third child is 5 inches shorter than the second child, so the third child is 74 - 5 = 69 inches tall.\n\nThe fourth child is 3 inches taller than the third child, so the fourth child is 69 + 3 = 72 inches tall.\n\nThus, the fourth child is \\boxed{72} inches tall."} |
| {"idx": 257, "gold": "5600", "pred": "5600", "ok": true, "gen": "To find the total weight of the redwood tree, we first need to find out how many 10-foot sections it has.\nSince the tree is 200 feet tall, it has 200 / 10 = 20 sections.\nEach section weighs 400 pounds, so the total weight of the tree is 20 * 400 = 8000 pounds.\nHowever, termites ate 30% of this wood, which is 8000 * 30 / 100 = 240000 / 100 = 2400 pounds.\nSo the weight of the tree after termites ate their share is 8000 - 2400 = 5600 pounds.\nThus, the redwood tree weighs \\boxed{5600} pounds."} |
| {"idx": 262, "gold": "270", "pred": "270", "ok": true, "gen": "Maddison initially has 5 boxes with 50 marbles in each box.\nSo she has 5 * 50 = 250 marbles.\nThen she gets 20 marbles from her friend.\nSo now she has 250 + 20 = 270 marbles.\nThus, Maddie has \\boxed{270} marbles now."} |
| {"idx": 973, "gold": "79", "pred": "79", "ok": true, "gen": "Let's break it down step by step:\n\n1. The USA has 50 states.\n2. Half of the number of states in the USA is 50 / 2 = 25.\n3. India has 4 more than half the number of states in the USA, so India has 25 + 4 = 29 states.\n4. The total number of states in both countries together is 50 (USA) + 29 (India) = 79.\n\nSo, the total number of states in both countries together is \\boxed{79}."} |
| {"idx": 1125, "gold": "90", "pred": "90", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. John buys 3 large bags weighing 10 ounces each, so the total weight of M&M he has is 3 x 10 = 30 ounces.\n2. Since an ounce of M&M has 30 M&M in it, the total number of M&M he has is 30 x 30 = 900 M&M.\n3. John wants to put 10 M&M in each small bag, so the number of small bags he can make is 900 / 10 = 90.\n\nThus, John can make \\boxed{90} small bags."} |
| {"idx": 338, "gold": "60", "pred": "60", "ok": true, "gen": "Let's denote the number of students in the two equal groups as $x$.\nSince the last group is 10 less than each of the other groups, the number of students in the smallest group is $x - 10$.\nThe total number of students is 200, so we can write the equation: $x + x + (x - 10) = 200$.\nSimplifying the equation, we get $3x - 10 = 200$.\nAdding 10 to both sides, we get $3x = 210$.\nDividing both sides by 3, we get $x = 70$.\nSince the smallest group has $x - 10$ students, the number of students in the smallest group is $70 - 10 = 60$.\nThus, there are \\boxed{60} students in the smallest group."} |
| {"idx": 1080, "gold": "72000", "pred": "4", "ok": false, "gen": "To find the number of jellyfish created by 5 springs in 4 hours, we need to first find out how many jellyfish are created by one spring in 4 hours.\n\nThere are 60 seconds in a minute, so there are 60 * 60 = 3600 seconds in an hour.\nIn 4 hours, there are 3600 * 4 = 14400 seconds.\n\nSince one spring creates a new jellyfish every second, in 14400 seconds, one spring will create 14400 jellyfish.\n\nSince there are 5 springs working at the same rate, the total number of jellyfish created by 5 springs in 4 hours is 5 * 14400 = 72000.\n\nThus, 5 springs working at the same rate create \\boxed{72000} jellyfish in 4 hours."} |
| {"idx": 1242, "gold": "20", "pred": "20", "ok": true, "gen": "Let's break down the information given:\n\n* Half of the hats are red, so the number of red hats is 100 / 2 = 50.\n* The remaining hats are 100 - 50 = 50.\n* 3/5 of the remaining hats are blue, so the number of blue hats is 50 * 3 / 5 = 150 / 5 = 30\n* The rest of the hats are white, so the number of white hats is 50 - 30 = 20.\n\nThus, Skyler has \\boxed{20} white hats."} |
| {"idx": 866, "gold": "28", "pred": "28", "ok": true, "gen": "Let's denote the number of books Fawn has as $x$.\nSince Anne has 12 fewer books than Fawn, Anne has $x - 12$ books.\nSince Sofie has 25 more books than Anne, Sofie has $(x - 12) + 25 = x + 13$ books.\nThe total number of books is 85, so we can write the equation: $x + (x - 12) + (x + 13) = 85$.\nSimplifying the equation, we get $3x + 1 = 85$.\nSubtracting 1 from both sides, we get $3x = 84$.\nDividing both sides by 3, we get $x = 28$.\nSo Fawn has \\boxed{28} books."} |
| {"idx": 433, "gold": "6", "pred": "6", "ok": true, "gen": "Since 15 gallons of gas were equally divided into 5 containers, each container holds 15 / 5 = 3 gallons of gas.\nJosey needed 1/4 of a container, so she needed 3 * 1/4 = 3/4 = 0.75 gallons of gas.\nSince there are 8 pints in a gallon, Josey needed 0.75 * 8 = 6 pints of gasoline.\nThus, Josey needed \\boxed{6} pints of gasoline."} |
| {"idx": 411, "gold": "1110", "pred": "1110", "ok": true, "gen": "The first package of fireworks costs $400.\nThe second package of fireworks costs twice that much, so it costs $400 * 2 = 800$.\nThe total cost of the first two packages is $400 + 800 = 1200$.\nA 20% discount amounts to $1200 * 20 / 100 = 24000 / 100 = 240$.\nSo the discount reduces the total cost of the first two packages to $1200 - 240 = 960$.\nAdding the cost of the finale firework, the total amount spent is $960 + 150 = 1110$.\nThus, Tim spent \\boxed{1110} dollars in total."} |
| {"idx": 638, "gold": "12", "pred": "5", "ok": false, "gen": "To find out how much Clyde will pay for 5 apples and 5 oranges, we first need to find the cost of one apple and one orange.\n\nThe cost of 4 apples is $5.20, so the cost of one apple is $5.20 / 4 = 1.30$.\n\nThe cost of 3 oranges is $3.30, so the cost of one orange is $3.30 / 3 = 1.10$.\n\nNow, we can calculate the cost of 5 apples and 5 oranges:\n\nThe cost of 5 apples is $1.30 * 5 = 6.50$.\n\nThe cost of 5 oranges is $1.10 * 5 = 5.50$.\n\nThe total cost is $6.50 + 5.50 = 12$.\n\nSo, Clyde will pay \\boxed{12} dollars for 5 apples and 5 oranges."} |
| {"idx": 764, "gold": "14", "pred": "14", "ok": true, "gen": "To find the total amount spent by the three of them, we need to calculate the cost of each item and add them up.\n\nLeila buys 3 cucumbers at $2 each, so the total cost of cucumbers is $3 * 2 = 6$.\n\nJack buys 5 tomatoes at $1 each, so the total cost of tomatoes is $5 * 1 = 5$.\n\nChase buys 1 head of lettuce at $3 each, so the total cost of lettuce is $1 * 3 = 3$.\n\nNow, we add up the costs of all the items: $6 + 5 + 3 = 11 + 3 = 14$.\n\nThus, the three of them spent \\boxed{14} dollars to make a salad for the potluck."} |
| {"idx": 897, "gold": "1", "pred": "1", "ok": true, "gen": "Let's break down the problem step by step.\n\nMartha had 7 notebooks after buying 5 more, so she had 7 - 5 = 2 notebooks before buying 5 more.\n\nSince Joseph had 3 times as many notebooks as Martha, Joseph had 3 * 2 = 6 notebooks.\n\nNow, Martha has 7 notebooks, and Joseph has 6 notebooks. To find out how many more notebooks Martha has than Joseph, we subtract the number of notebooks Joseph has from the number of notebooks Martha has: 7 - 6 = 1.\n\nSo, Martha now has \\boxed{1} more notebook than Joseph."} |
| {"idx": 1059, "gold": "2", "pred": "6", "ok": false, "gen": "Imma feeds her cats twice a day with 60 grams of cat food.\nSo the amount of cat food she uses per day is $60 * 2 = 120$ grams.\nNow we need to find out how many days 720 grams of cat food will last.\nThis is given by $720 / 120 = 6$.\nThus, 720 grams of cat food will last \\boxed{6} days."} |
| {"idx": 924, "gold": "12", "pred": "12", "ok": true, "gen": "The sloth needs to collect 24 berries in 8 hours. Since it takes 4 hours to make the trip down the tree, pick up berries, and climb back up, it can make 2 trips in 8 hours.\n\nLet's denote the number of berries the sloth picks up per trip as $x$. Since he makes 2 trips, the total number of berries he collects is $2x$.\n\nWe know that the total number of berries he collects is 24, so we can set up the equation:\n\\[ 2x = 24 \\Rightarrow x = 24 : 2 \\Rightarrow x = 12 \\]\n\nTherefore, the least number of berries the sloth can pick up per trip down to the ground is $\\boxed{12}$."} |
| {"idx": 247, "gold": "32", "pred": "19.20", "ok": false, "gen": "To find out how much each person paid, we need to first calculate the total cost of the party supplies.\n\nThe total cost is $12 + $43 + $15 + $4 + $22 = $96.\n\nSince Isabelle split the cost evenly three ways with her two parents, we need to divide the total cost by 5.\n\n$96 / 5 = $19.20.\n\nSo each person paid \\boxed{19.20} dollars."} |
| {"idx": 507, "gold": "2", "pred": "2", "ok": true, "gen": "Janet takes 2 bus trips 5 days a week, so she takes a total of 2 * 5 = 10 bus trips per week.\nEach bus trip costs her $2.20, so the total cost of 10 bus trips per week is 10 * $2.20 = $22.\nIf she buys a weekly bus pass for $20, she would save $22 - $20 = $2.\nSo Janet would save \\boxed{2} dollars by buying a weekly bus pass."} |
| {"idx": 460, "gold": "84", "pred": "84", "ok": true, "gen": "Let's break down the problem:\n\nGrayson drinks 3 aluminum cans of soda and 5 plastic bottles of water a week.\nEach aluminum can is worth 2 cents, so she earns 3 x 2 = 6 cents from aluminum cans per week.\nEach plastic bottle is worth 3 cents, so she earns 5 x 3 = 15 cents from plastic bottles per week.\nIn total, she earns 6 + 15 = 21 cents per week from recycling.\nSince she works for 4 weeks, she earns a total of 21 x 4 = 84 cents.\n\nThus, Grayson earns \\boxed{84} cents from recycling in a four-week month."} |
| {"idx": 131, "gold": "940", "pred": "940", "ok": true, "gen": "Joseph's expenditure in May was $500.\nIn June, his expenditure was $60 less, so it was $500 - 60 = 440$.\nThe total expenditure for those two months is $500 + 440 = 940$.\nThus, Joseph's total expenditure for those two months was \\boxed{940} dollars."} |
| {"idx": 692, "gold": "32", "pred": "32", "ok": true, "gen": "To find the price of the crate of fruit, we need to calculate the cost of each fruit and then add them up.\n\nThe cost of one apple is $0.5.\nThe cost of one banana is twice as much as one apple, so it is $0.5 * 2 = 1$.\nThe cost of one orange is three times as much as one banana, so it is $1 * 3 = 3$.\n\nNow we can calculate the total cost of the crate:\nThe cost of 5 bananas is $5 * 1 = 5$.\nThe cost of 12 apples is $12 * 0.5 = 6$.\nThe cost of 7 oranges is $7 * 3 = 21$.\n\nThe total cost of the crate is $5 + 6 + 21 = 11 + 21 = 32$.\n\nThus, the price for such a crate of fruit is \\boxed{32} dollars."} |
| {"idx": 43, "gold": "48", "pred": "48", "ok": true, "gen": "To find out how many grams of chips you can eat, we first need to determine how many calories you can consume in total and then figure out how many 300g bags you can make with those calories.\n\nSince your daily calorie target is 2000 and you have already consumed 1800 calories, you can consume 2000 - 1800 = 200 calories.\n\nEach bag of chips has 250 calories per serving, and each bag has 5 servings. So, each bag of chips has 250 * 5 = 1250 calories.\n\nHowever, since you only have 200 calories left to consume, you can only eat a fraction of a bag. To find out how many 300g bags you can make, we divide the total calories you can consume (200) by the calories per bag (1250).\n\n200 / 1250 = 0.16\n\nSince you can't eat a fraction of a bag, we round down to the nearest whole number. However, in this case, we are asked for the total grams you can eat, not the number of bags. \n\nEach bag is 300g, so 0.16 bags would be 0.16 * 300 = 48g.\n\nThus, you can eat \\boxed{48} grams of chips."} |
| {"idx": 1204, "gold": "168", "pred": "168", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Team Alphas found 40% of the shells, which is 40% of 700 = 0.4 x 700 = 280 shells.\n2. The remaining shells are 700 - 280 = 420 shells.\n3. Team The finders found 60% of the remaining shells, which is 60% of 420 = 0.6 x 420 = 252 shells.\n4. The remaining shells are 420 - 252 = 168 shells.\n5. Since team Goliathters are the last group, they found the remaining shells, which is 168 shells.\n\nTherefore, team Goliathters found \\boxed{168} shells."} |
| {"idx": 1134, "gold": "7", "pred": "60", "ok": false, "gen": "Jane has saved $4 per week for 8 weeks, so she has saved a total of $4 * 8 = 32$.\nShe needs to save $60 - 32 = 28$ more.\nSince she saves $4 per week, she will need $28 / 4 = 7$ more weeks to save the remaining amount.\nThus, it will take Jane \\boxed{7} more weeks to save a total of $60."} |
| {"idx": 471, "gold": "80", "pred": "80", "ok": true, "gen": "Let's break down the problem step by step.\n\nInitially, there are 30 students in Marissa's class, and each student started with 10 pencils. So, the total number of pencils in the class is 30 x 10 = 300.\n\nAfter two months, 1/5 of the total pencils in class were used. To find out how many pencils were used, we multiply the total number of pencils by 1/5: 300 x 1/5 = 60.\n\nSo, 60 pencils were used, and the number of pencils remaining is 300 - 60 = 240.\n\nAt the end of the year, only 1/3 of the remaining pencils were left. To find out how many pencils were left, we multiply the number of pencils remaining by 1/3: 240 x 1/3 = 80.\n\nTherefore, there were \\boxed{80} pencils left in Marissa's class."} |
| {"idx": 1205, "gold": "4", "pred": "4", "ok": true, "gen": "Let's denote the miles the last dog needs to walk per day as $x$.\nThe total miles walked by all 4 dogs per day is $1 + 4 + 3 + x = 8 + x$.\nSince the average miles walked per day is 3 miles, we have $\\frac{8 + x}{4} = 3$.\nMultiplying both sides by 4, we get $8 + x = 12$.\nSubtracting 8 from both sides, we get $x = 4$.\nThus, the last dog needs to walk \\boxed{4} miles per day."} |
| {"idx": 14, "gold": "60", "pred": "60", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. 20% of the students enrolled in contemporary dance, which is 20% of 20 = 0.2 x 20 = 4 students.\n2. The remaining students are 20 - 4 = 16 students.\n3. 25% of the remaining students enrolled in jazz dance, which is 25% of 16 = 0.25 x 16 = 4 students.\n4. The rest of the students enrolled in hip-hop dance, which is 16 - 4 = 12 students.\n\nTo find the percentage of students enrolled in hip-hop dance, we divide the number of students in hip-hop dance (12) by the total number of students (20) and multiply by 100:\n\n(12 / 20) x 100 = 60%\n\nSo, 60% of the entire students enrolled in hip-hop dance.\n\nAnswer: \\boxed{60}"} |
| {"idx": 145, "gold": "4000", "pred": "250", "ok": false, "gen": "To find out how many pineapples John can harvest within a year, we need to calculate the total number of pineapples he has and then divide it by the number of times he can harvest them in a year.\n\nJohn has 10 hectares of pineapple field, and there are 100 pineapples per hectare. So, the total number of pineapples he has is 10 * 100 = 1000.\n\nJohn can harvest his pineapples every 3 months. In a year, there are 12 months. So, he can harvest 12 / 3 = 4 times in a year.\n\nTo find out how many pineapples John can harvest within a year, we divide the total number of pineapples by the number of times he can harvest them: 1000 / 4 = 250.\n\nThus, John can harvest \\boxed{250} pineapples within a year."} |
| {"idx": 1292, "gold": "67", "pred": "67", "ok": true, "gen": "Let's break down the information given:\n\n* Albert is 36\" tall.\n* Anne is twice the size of Albert, so Anne is 2 x 36 = 72\" tall.\n* Jackie is now 2\" shorter than Anne, so Jackie is 72 - 2 = 70\" tall.\n* Jackie grew 3\" over the summer, so her height before summer is 70 - 3 = 67\" tall.\n\nThus, Jackie was \\boxed{67}\" tall before summer."} |
| {"idx": 120, "gold": "240", "pred": "240", "ok": true, "gen": "Since Miguel uses 2 pads of paper a week, and there are 30 sheets of paper on a pad of paper, he uses 2 * 30 = 60 sheets of paper per week.\nSince there are approximately 4 weeks in a month, he uses 60 * 4 = 240 sheets of paper per month.\nThus, Miguel uses \\boxed{240} sheets of paper every month."} |
| {"idx": 468, "gold": "120", "pred": "120", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Fireman Frank starts with 200 shoes.\n2. On Monday, he gets 5 pairs of shoes, which is 5 x 2 = 10 shoes. So, he now has 200 + 10 = 210 shoes.\n3. On Wednesday, he gains 15 new pairs of shoes, which is 15 x 2 = 30 shoes. So, he now has 210 + 30 = 240 shoes.\n4. On Friday, he gains 30 new pairs of shoes, which is 30 x 2 = 60 shoes. So, he now has 240 + 60 = 300 shoes.\n5. On Saturday, he gets rid of 180 shoes, so he now has 300 - 180 = 120 shoes.\n\nTherefore, Fireman Frank will have \\boxed{120} shoes on Sunday."} |
| {"idx": 138, "gold": "105", "pred": "105", "ok": true, "gen": "Let's break down the problem step by step.\n\nMark completed the first test in 8 hours at a rate of 5 questions per hour. So, he completed 8 x 5 = 40 questions.\n\nSince the first test had 75 questions, Mark left 75 - 40 = 35 questions incomplete.\n\nMark completed the second test in 6 hours at a rate of 5 questions per hour. So, he completed 6 x 5 = 30 questions.\n\nSince the second test had 100 questions, Mark left 100 - 30 = 70 questions incomplete.\n\nIn total, Mark left 35 + 70 = 105 questions incomplete.\n\nSo, Mark left \\boxed{105} questions incomplete."} |
| {"idx": 64, "gold": "300", "pred": "150", "ok": false, "gen": "To find out how far Sophia can drive on a single tank of gas, we need to calculate how much gas she used to travel 100 miles and then divide that by the total capacity of her tank.\n\nSince Sophia needed to put in 4 gallons of gas to fill her tank, and her tank holds 12 gallons, she used 12 - 4 = 8 gallons of gas to travel 100 miles.\n\nNow, we can calculate how far she can drive on a single tank of gas by dividing the distance she traveled (100 miles) by the amount of gas she used (8 gallons).\n\n100 miles / 8 gallons = 12.5 miles per gallon\n\nSince her tank holds 12 gallons of gas, we can multiply the miles per gallon by the total capacity of her tank to find out how far she can drive on a single tank of gas:\n\n12.5 miles per gallon * 12 gallons = 150 miles\n\nSo, Sophia can drive \\boxed{150} miles on a single tank of gas."} |
| {"idx": 676, "gold": "240", "pred": "240", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Dylan invested 2/5 of the total amount, which is $1200 * 2/5 = $480.\n2. The remaining amount after Dylan's investment is $1200 - $480 = $720.\n3. Frances invested 2/3 of the remaining amount, which is $720 * 2/3 = $480.\n4. The remaining amount after Frances' investment is $720 - $480 = $240.\n\nSo, Skyler's investment accounted for the rest, which is \\boxed{240} dollars."} |
| {"idx": 1052, "gold": "110", "pred": "110", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Initially, there are 120 people on the train.\n2. At the first stop, 20 more people board the train, so the total number of people becomes 120 + 20 = 140.\n3. At the second stop, 50 people descend from the train, so the total number of people becomes 140 - 50 = 90.\n4. At the second stop, twice that number (100) boarded the train, so the total number of people becomes 90 + 100 = 190.\n5. At the third station, 80 more people descended from the train, so the total number of people becomes 190 - 80 = 110.\n\nTherefore, the total number of people on the train at the final stop is \\boxed{110}."} |
| {"idx": 487, "gold": "4", "pred": "4", "ok": true, "gen": "Let's break down the problem step by step:\n\n* Uncle Ben has 4 horses.\n* Each horse consumes 5 pounds of oats per meal.\n* He feeds his horses twice a day, so each horse consumes 5 x 2 = 10 pounds of oats per day.\n* Since there are 4 horses, the total amount of oats consumed per day is 4 x 10 = 40 pounds.\n* Uncle Ben needs to feed his horses for 5 days, so the total amount of oats needed is 40 x 5 = 200 pounds.\n* One bag contains 50 pounds of oats, so the number of bags needed is 200 / 50 = 4.\n\nTherefore, Uncle Ben needs \\boxed{4} bags of oats to feed his horses for five days."} |
| {"idx": 570, "gold": "23", "pred": "34", "ok": false, "gen": "Peter has $70 and wants to spend an equal amount each day for one week.\nSo he will spend $70 / 7 = 10$ dollars each day.\nFrom Sunday through Wednesday, he spent $10 * 7 = 70$ dollars on wooden action figures.\nSince each wooden action figure costs $5, he bought $70 / 5 = 14$ wooden action figures.\nFor the rest of the week, he spent $10 * 4 = 40$ dollars on plastic action figures.\nSince each plastic action figure costs $2, he bought $40 / 2 = 20$ plastic action figures.\nSo the total number of action figures he will have by the end of the week is $14 + 20 = 34$.\nThus, Peter will have \\boxed{34} action figures by the end of the week."} |
| {"idx": 994, "gold": "2", "pred": "2", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Tobias howls for 20 seconds.\n2. Chikote howls for twice as long as Tobias, so Chikote howls for 2 x 20 = 40 seconds.\n3. Igneous howls for as long as the other two wolves combined, so Igneous howls for 20 + 40 = 60 seconds.\n4. The combined length of time, in seconds, of the three wolves' howls is 20 + 40 + 60 = 60 + 60 = 120 seconds.\n5. To convert this to minutes, we divide by 60: 120 seconds / 60 = 2 minutes.\n\nSo, the combined length of time, in minutes, of the three wolves' howls is \\boxed{2}."} |
| {"idx": 438, "gold": "2", "pred": "2", "ok": true, "gen": "Antoine's recipe calls for 2 pounds of onions, but he likes to double that amount, so he needs 2 * 2 = 4 pounds of onions.\nThe onions are on sale for $2.00 a pound, so the total cost of onions is 4 * $2.00 = $8.00.\nHe also needs 2 boxes of beef stock, which are on sale for $2.00 a box, so the total cost of beef stock is 2 * $2.00 = $4.00.\nThe total cost of the soup is $8.00 + $4.00 = $12.00.\nSince the soup serves 6 people, the cost per serving is $12.00 / 6 = $2.00.\nSo, the cost per serving is \\boxed{2} dollars."} |
| {"idx": 270, "gold": "762", "pred": "762", "ok": true, "gen": "Let's break down the number of M&Ms in each bag:\n\n* The first bag has 300 M&Ms.\n* The second bag has 12 more M&Ms than the first, so it has 300 + 12 = 312 M&Ms.\n* The third bag has half the number of M&Ms that the first bag had, so it has 300 / 2 = 150 M&Ms.\n\nTo find the total number of M&Ms Mary got, we add the number of M&Ms in each bag:\n\n300 + 312 + 150 = 612 + 150 = 762\n\nSo, Mary got a total of \\boxed{762} M&Ms."} |
| {"idx": 1169, "gold": "2", "pred": "2", "ok": true, "gen": "Let's break down the problem step by step.\n\nRonnie was given $5.\nRissa was given thrice as much as Ronnie, so Rissa was given $5 * 3 = 15$.\n\nAfter each of them had given an equal amount of money to their little sister, Rissa is left with 4/5 of her money.\nThis means that Rissa gave away 1/5 of her money to her sister.\nSo, Rissa gave away $15 * 1/5 = 15/5 = 3$ dollars.\n\nSince both Ronnie and Rissa gave an equal amount of money to their sister, Ronnie also gave away $3 dollars.\n\nRonnie was originally given $5, so after giving away $3, he is left with $5 - 3 = 2$ dollars.\n\nThus, Ronnie is left with \\boxed{2} dollars."} |
| {"idx": 1180, "gold": "5600", "pred": "5600", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. The company sold 4000 gallons of milk at $3.5 per gallon, so the total amount of money Mr. Marcellus received is:\n4000 gallons x $3.5 per gallon = $14,000\n\n2. Mr. Marcellus realized that 2/5 of the amount of milk he purchased had passed the expiry date. To find out how many gallons of milk he returned, we multiply the total amount of milk by 2/5:\n4000 gallons x 2/5 = 1600 gallons\n\n3. Since Mr. Marcellus returned the sour milk, he got a refund for the amount of milk he returned. To find out how much he got in refunds, we multiply the amount of milk he returned by the cost per gallon:\n1600 gallons x $3.5 per gallon = $5,600\n\nTherefore, Mr. Marcellus got \\boxed{5600} dollars in refunds."} |
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