Datasets:
| {"idx": 1309, "gold": "2280", "pred": "1880", "ok": false, "gen": "Let's break down the problem:\n\n* Alexandra raises $430.\n* Maryam raises $400.\n* Sarah raises $300.\n* Kim raises $320 more than Alexandra, so Kim raises $430 + $320 = $750.\n\nNow, let's add up the total amount of money raised:\n\n$430 (Alexandra) + $400 (Maryam) + $300 (Sarah) + $750 (Kim) = $1880\n\nSo, they all raised \\boxed{1880} dollars in total."} | |
| {"idx": 228, "gold": "1", "pred": "1", "ok": true, "gen": "Let's break it down step by step:\n\n1. Kalinda can add 4 pieces per minute.\n2. Her mom can place half as many pieces per minute as Kalinda, so she can place 4 / 2 = 2 pieces per minute.\n3. Together, they can add 4 + 2 = 6 pieces per minute.\n4. Since they need to complete a 360-piece puzzle, we can divide the total number of pieces by the number of pieces they can add per minute: 360 / 6 = 60 minutes.\n5. To convert minutes to hours, we can divide by 60: 60 / 60 = 1 hour.\n\nTherefore, it will take Kalinda and her mom \\boxed{1} hour to complete this puzzle."} | |
| {"idx": 51, "gold": "5", "pred": "0.8", "ok": false, "gen": "To find the total time Tom spends sailing, we need to calculate the time it takes him to travel from 1 to 4 PM and then the time it takes him to travel back from 4 PM to 1 PM.\n\nThe distance from 1 to 4 PM is 3 hours. Since Tom is traveling at 10 mph, the time it takes him to travel from 1 to 4 PM is 3 hours / 10 mph = 0.3 hours.\n\nThe distance from 4 PM to 1 PM is also 3 hours. Since Tom is traveling at 6 mph, the time it takes him to travel back from 4 PM to 1 PM is 3 hours / 6 mph = 0.5 hours.\n\nThe total time Tom spends sailing is the sum of the time it takes him to travel from 1 to 4 PM and the time it takes him to travel back from 4 PM to 1 PM, which is 0.3 hours + 0.5 hours = 0.8 hours.\n\nThus, Tom spends \\boxed{0.8} hours sailing."} | |
| {"idx": 563, "gold": "12", "pred": "12", "ok": true, "gen": "Let's break it down:\n\nJames buys 2 packs of candles, one for each son.\nThe cost of the candles for the 12-year-old son is $3 * 2 = 6$.\nThe cost of the candles for the 4-year-old son is $3 * 2 = 6$.\nSo, the total cost of the candles is $6 + 6 = 12$.\nThus, James spends \\boxed{12} dollars on candles."} | |
| {"idx": 501, "gold": "273", "pred": "273", "ok": true, "gen": "Let's break it down step by step:\n\nMariah used 1/4 of a skein of yarn, which is (1/4) * 364 = 0.25 * 364 = 91 yards.\n\nHer grandma used 1/2 of a skein of yarn, which is (1/2) * 364 = 0.5 * 364 = 182 yards.\n\nThe total number of yards of yarn used is 91 + 182 = 273 yards.\n\nSo, Mariah's grandma and Mariah used \\boxed{273} yards of yarn altogether."} | |
| {"idx": 457, "gold": "45", "pred": "10", "ok": false, "gen": "\n\n\\boxed{10}"} | |
| {"idx": 285, "gold": "21", "pred": "21", "ok": true, "gen": "Let's break it down:\n\nAnn is currently 9 years old.\nHer brother is twice her age, so he is 2 x 9 = 18 years old.\nIn 3 years, her brother will be 18 + 3 = 21 years old.\n\nSo, in 3 years, Ann's brother will be \\boxed{21} years old."} | |
| {"idx": 209, "gold": "145", "pred": "1450", "ok": false, "gen": "Let's break down the problem step by step.\n\nThe total cost of half a dozen plates sold at $6000 each is $6000 * 6 = 36000$.\n\nThe problem states that twenty dozen cups cost $1200 less than this total cost. So, the cost of twenty dozen cups is $36000 - 1200 = 34800$.\n\nSince twenty dozen cups is equal to 24 cups, we can calculate the cost of each cup by dividing the total cost by 24:\n\n$34800 / 24 = 1450$.\n\nSo, the cost of each cup is \\boxed{1450} dollars."} | |
| {"idx": 1116, "gold": "60", "pred": "60", "ok": true, "gen": "Let's break it down step by step:\n\n1. The original enrollment was 50 students.\n2. This year, there was a 20% increase in enrollment.\n3. To find the increase, we multiply the original enrollment by the percentage increase: 50 x 20/100 = 10 students.\n4. Now, we add the increase to the original enrollment to find the new enrollment: 50 + 10 = 60 students.\n\nSo, there are \\boxed{60} students enrolled in the calligraphy class this year."} | |
| {"idx": 178, "gold": "122", "pred": "122", "ok": true, "gen": "Let's break it down step by step:\n\n1. Bo has 40 crabs.\n2. Monic has 4 fewer crabs than Bo, so Monic has 40 - 4 = 36 crabs.\n3. Rani has 10 more crabs than Monic, so Rani has 36 + 10 = 46 crabs.\n4. To find the total number of crabs, add the number of crabs each person has: 40 (Bo) + 36 (Monic) + 46 (Rani) = 122.\n\nSo, the three have \\boxed{122} crabs together."} | |
| {"idx": 1209, "gold": "29", "pred": "25", "ok": false, "gen": "\n\nBrian's basement was damp and musty, so he bought a dehumidifier to remove moisture. The device has three speeds: low, medium, and high. The efficiency of the dehumidifier is as follows:\n\n- Low setting: 1 liter/day\n- Medium setting: 2 liters/day\n- High setting: 4 liters/day\n\nTo find the total amount of water removed, we calculate the water removed for each setting and sum them up:\n\n1. **Low setting**: 3 days \u00d7 1 liter/day = 3 liters\n2. **Medium setting**: 5 days \u00d7 2 liters/day = 10 liters\n3. **High setting**: 3 days \u00d7 4 liters/day = 12 liters\n\nAdding these amounts together gives the total water removed:\n\n\\[ 3 + 10 + 12 = 25 \\text{ liters} \\]\n\nThus, the total amount of water removed from Brian's basement is \\boxed{25} liters."} | |
| {"idx": 864, "gold": "80", "pred": "80", "ok": true, "gen": "Let's break it down step by step:\n\n1. Total burritos ordered: 600\n2. Number of students: 50\n3. Burritos per student: 10\n4. Total burritos given to students: 50 x 10 = 500\n5. Burritos left over after giving to students: 600 - 500 = 100\n6. Burritos eaten by Mr. George: 20\n7. Total leftover burritos: 100 - 20 = 80\n\nSo, there are \\boxed{80} leftover burritos from the picnic."} | |
| {"idx": 65, "gold": "36", "pred": "4", "ok": false, "gen": "Let's break down the time Jim spends on TV and reading.\nHe spends 2 hours watching TV and then 1 hour reading, for a total of 2 + 1 = 3 hours per day.\nSince he does this 3 times a week, he spends 3 * 3 = 9 hours per week 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.\nShe paid $500 for the material.\nThen she paid $800 for the jeweler to construct it.\nSo the total cost of the material and the jeweler is $500 + 800 = 1300$.\nShe then paid 10% of that amount to get it insured, which is $1300 * 10 / 100 = 13000 / 100 = 130$.\nSo the total amount she paid is $1300 + 130 = 1430$.\nThus, 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 ducks need 3.5 / 7 = 0.5 pounds of insects per day.\n\nThus, the ducks need \\boxed{0.5} pounds of insects per day."} | |
| {"idx": 447, "gold": "5", "pred": "5", "ok": true, "gen": "Joey has 214 points before his turn.\nHe scores 26 points, so he now has 214 + 26 = 240 points.\nMarcy has 225 points and scores 10 points, so she now has 225 + 10 = 235 points.\nJoey is now winning by 240 - 235 = 5 points.\nThus, Joey is now winning by \\boxed{5} points."} | |
| {"idx": 476, "gold": "5", "pred": "5", "ok": true, "gen": "Let's break it down:\n\nSarah spent $300 on books.\nShe gave an equal number of books to 4 kids.\nSo, the total number of books she gave away is $300 / 4 = 75$.\nSince each book costs $15, the number of books each kid got is $75 / 15 = 5$.\n\nThus, each kid got \\boxed{5} books."} | |
| {"idx": 1034, "gold": "66", "pred": "66", "ok": true, "gen": "Ted started with $200.\nHe spent $16 * 3 = 48$ dollars on books.\nHe spent $6 * 3 = 18$ dollars on pencils.\nSo in total, he spent $48 + 18 = 66$ dollars.\nThus, Ted spent \\boxed{66} dollars in total."} | |
| {"idx": 1232, "gold": "15", "pred": "5", "ok": false, "gen": "Let's denote the total number of pomelos Eve had as x.\nShe gave away 1/4 of the pomelos she had, which is x/4.\nSo the number of pomelos she gave away is x/4.\nThe problem states that she had 20 pieces of pomelos, so x = 20.\nThus, the number of pomelos she gave away is 20/4 = 5.\nSo Eve gave away \\boxed{5} pomelos."} | |
| {"idx": 54, "gold": "40", "pred": "13", "ok": false, "gen": "Let's break it down:\n\n* The family has 7 kittens.\n* They have 2 house cats, and each cat has had 3 adopted kittens, so the total number of adopted kittens is 2 x 3 = 6.\n* The total number of kittens is the sum of the original 7 kittens and the adopted kittens: 7 + 6 = 13.\n\nSo, the Doubtfire sisters have \\boxed{13} kittens."} | |
| {"idx": 1149, "gold": "93", "pred": "90", "ok": false, "gen": "Since there are 30 days in May, and each fish needs $1 worth of food per day, the total amount of food needed per month is $3 * 30 = 90$.\nThus, Jen spends \\boxed{90} dollars on food in the month of May."} | |
| {"idx": 407, "gold": "2000", "pred": "8000", "ok": false, "gen": "Let's break down the steps Elliott took:\n\n* Half of his steps: 10,000 / 2 = 5,000 steps\n* Another 1,000 steps: 1,000 steps\n* 2,000 steps left after his jog: 2,000 steps\n\nSo, the total number of steps Elliott took is: 5,000 + 1,000 + 2,000 = 8,000 steps.\n\nThus, Elliott took \\boxed{8000} steps during his walks."} | |
| {"idx": 859, "gold": "1520", "pred": "38", "ok": false, "gen": "Let's break it down step by step:\n\n1. Rafaela received $20 in tips.\n2. Julieta received 10% less than Rafaela, which is $20 - ($20 x 0.10) = $20 - $2 = $18 in tips.\n3. To find the total amount of money that Julieta and Rafaela received as tips, we add their individual tips: $18 + $20 = $38.\n\nSo, the total amount of money that Julieta and Rafaela received as tips is \\boxed{38} dollars."} | |
| {"idx": 451, "gold": "11050", "pred": "050", "ok": false, "gen": "\n\nTo determine how much Bentley paid to fill 170 helium balloons, let's break down the problem step by step.\n\n1. **Initial Cost per Balloon:**\n \n The total cost to fill 20 balloons was \\$900. Therefore, the cost per balloon is:\n \\[\n \\text{Cost per balloon} = \\frac{\\$900}{20} = \\$45\n \\]\n\n2. **Price Increase:**\n \n The price per balloon was increased by \\$20. So, the new cost per balloon is:\n \\[\n \\text{New cost per balloon} = \\$45 + \\$20 = \\$65\n \\]\n\n3. **Total Cost for 170 Balloons:**\n \n To find the total cost for 170 balloons at the new price:\n \\[\n \\text{Total cost} = 170 \\times \\$65 = \\$11,\\!050\n \\]\n\n**Final Answer:**\n\\[\n\\boxed{\\$11,\\!050}\n\\]"} | |
| {"idx": 919, "gold": "90", "pred": "90", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Each student sold 10 lollipops for $0.8 each, so the total amount of money each student made from selling lollipops is $0.8 x 10 = $8.\n2. Since there are 30 students, the total amount of money they made from selling lollipops is $8 x 30 = $240.\n3. Each student bought the lollipops for $0.5 each, so the total amount of money they spent on lollipops is $0.5 x 10 = $5.\n4. The profit each student made from selling lollipops is $8 - $5 = $3.\n5. Since there are 30 students, the total profit they made from selling lollipops is $3 x 30 = $90.\n\nTherefore, the class was able to raise \\boxed{90} dollars from the profit of selling lollipops."} | |
| {"idx": 1206, "gold": "40000", "pred": "40000", "ok": true, "gen": "Let's break it down step by step:\n\n1. John gets a loan worth 40% of $250,000, which is $250,000 * 40 / 100 = $100,000.\n2. He uses 60% of that loan to pay off his debts, which is $100,000 * 60 / 100 = $60,000.\n3. He has $100,000 - $60,000 = $40,000 leftover after paying debt.\n\nSo, John has \\boxed{40,000} dollars leftover after paying debt."} | |
| {"idx": 569, "gold": "21", "pred": "21", "ok": true, "gen": "Let's break it down:\n\nLiam made $63 from lemonade.\nMitchell made $4 apiece for 21 lemonades, so he made $4 x 21 = $84.\n\nThe difference between what Mitchell made and what Liam made is $84 - $63 = $21.\n\nSo, Mitchell made \\boxed{21} dollars more selling lemonade that weekend than Liam."} | |
| {"idx": 13, "gold": "18", "pred": "5", "ok": false, "gen": "Let's break down the information:\n\n* Melanie sold 3 vacuum cleaners (2 to the red house and 1 to the orange house).\n* She sold half of what was left at the orange house.\n* Let's say she started with x vacuum cleaners.\n\nSince she sold 3 vacuum cleaners, she had x - 3 vacuum cleaners left.\n\nShe sold half of what was left at the orange house, so she sold (x - 3) / 2 vacuum cleaners.\n\nThe remaining vacuum cleaners she had after selling at the orange house are x - 3 - (x - 3) / 2.\n\nSince she sold half of what was left at the orange house, she had x - 3 - (x - 3) / 2 = (x - 3) / 2 vacuum cleaners left.\n\nWe know that she sold half of what was left at the orange house, so (x - 3) / 2 = (x - 3) / 2.\n\nThis equation is true for any value of x, but we know that Melanie started with a positive number of vacuum cleaners.\n\nLet's try to find a value of x that satisfies the conditions:\n\n* She sold 3 vacuum cleaners.\n* She sold half of what was left at the orange house.\n* She sold half of what was left at the red house.\n\nIf she started with 5 vacuum cleaners, she would have 2 vacuum cleaners left after selling 3. She would have sold 1 vacuum cleaner at the orange house, leaving 1 vacuum cleaner. She would have sold 1 vacuum cleaner at the red house, leaving 0 vacuum cleaners.\n\nThis satisfies all the conditions, so Melanie started with \\boxed{5} vacuum cleaners."} | |
| {"idx": 326, "gold": "14", "pred": "8", "ok": false, "gen": "Let's break down the information:\n\n* 5 people got on the bus at the first bus stop.\n* 7 people got on the bus at the second bus stop.\n* The total number of people heading to the third stop is 20.\n\nSince the bus stops are at the first and second bus stops, the number of people who got on the bus at the terminal is the total number of people heading to the third stop minus the number of people who got on the bus at the first and second bus stops.\n\nSo, the number of people who got on the bus at the terminal is:\n20 (total people heading to the third stop) - 5 (people getting on at the first bus stop) - 7 (people getting on at the second bus stop) = 8\n\nThus, \\boxed{8} people got on the bus at the terminal."} | |
| {"idx": 865, "gold": "23", "pred": "23", "ok": true, "gen": "Let's denote the number of red cars as $R$, the number of green cars as $G$, the number of blue cars as $B$, and the number of yellow cars as $Y$.\nWe know that $R = 12$, $G = R - 2 = 10$, $B = G * 3 = 30$, and $R + G + B + Y = 75$.\nSubstituting the values of $R$, $G$, and $B$ into the equation, we get $12 + 10 + 30 + Y = 75$.\nSolving for $Y$, we get $Y = 75 - 52 = 23$.\nThus, the rink has \\boxed{23} yellow cars."} | |
| {"idx": 696, "gold": "145", "pred": "145", "ok": true, "gen": "Let's break down the points collected by each student.\nAdam has 50 points.\nBetty has 30% more points than Adam, which is 50 + (50 * 30 / 100) = 50 + 15 = 65 points.\nMarta has 3 times more points than Tom, who has 30 points less than Betty, which is 3 * (65 - 30) = 3 * 35 = 105 points.\nTom has 30 points less than Betty, which is 65 - 30 = 35 points.\nThe total points collected by all students is 50 + 65 + 105 + 35 = 115 + 105 + 35 = 220 + 35 = 255 points.\nSince the minimum threshold is 400 points, the class is missing 400 - 255 = 145 points.\nThus, 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.\n* The classroom has 1/10 as many nongendered children as they do boys.\n* The classroom has 30 boys.\n\nSince the classroom has 3 times as many girls as boys, and there are 30 boys, the number of girls is 3 x 30 = 90.\n\nSince the classroom has 1/10 as many nongendered children as they do boys, and there are 30 boys, the number of nongendered children is 30 / 10 = 3.\n\nThe total number of children in the classroom is the sum of the number of boys, girls, and nongendered children: 30 + 90 + 3 = 120 + 3 = 123\n\nSo, the classroom has \\boxed{123} children."} | |
| {"idx": 440, "gold": "98", "pred": "98", "ok": true, "gen": "To find the perimeter of Billie's rectangular bedroom, we need to know the length and width of the room. We are given that the length is 3 yards, but we need to convert this to feet. There are 3 feet in a yard, so:\n\n3 yards = 3 x 3 feet = 9 feet\n\nNow we know the length of the room is 9 feet. We are also given that the area of the room is 360 square feet. The area of a rectangle is calculated by multiplying the length by the width:\n\nArea = length x width\n360 = 9 x width\nwidth = 360 / 9\nwidth = 40 feet\n\nNow that we know the length and width of the room, we can find the perimeter. The perimeter of a rectangle is calculated by adding up all its sides:\n\nPerimeter = 2 x (length + width)\nPerimeter = 2 x (9 + 40)\nPerimeter = 2 x 49\nPerimeter = 98 feet\n\nSo, the perimeter of Billie's rectangular bedroom is \\boxed{98} feet."} | |
| {"idx": 689, "gold": "7", "pred": "6", "ok": false, "gen": "Let's break down the problem step by step:\n\n1. The cost of 5 lollipops is 5 x $0.40 = $2.\n2. The cost of 4 candies is unknown, but we can assume it's also $0.40 (since the problem doesn't specify otherwise).\n3. The total cost of 5 lollipops and 4 candies is $3.20.\n4. So, the cost of 4 candies is $3.20 - $2 = $1.20.\n5. Since each candy costs $0.40, the total cost of 10 candies is 10 x $0.40 = $4.\n6. The total cost of 10 lollipops and 10 candies is $2 + $4 = $6.\n\nTherefore, 10 lollipops and 10 candies will cost Manolo \\boxed{6} dollars."} | |
| {"idx": 189, "gold": "34", "pred": "34", "ok": true, "gen": "Let's break down the problem step by step.\n\nThe total cost of the tickets is $20.25.\nThe total cost of the food is $20.25 - 4.50 = 15.75$.\nThe total cost of the rides is $33 * 2 = 66$.\nThe total cost of all the items is $20.25 + 15.75 + 66 = 36 + 66 = 102$.\nSince they agreed to split the costs evenly, each of them paid $102 / 3 = 34$.\nThus, each of them paid \\boxed{34} dollars."} | |
| {"idx": 778, "gold": "38", "pred": "38", "ok": true, "gen": "To find the total amount Winston spent, we need to multiply the number of each fruit by its price and then add them up.\n\nFor peaches, 6 pounds * $2.00 per pound = $12.00\nFor plums, 8 pounds * $1.00 per pound = $8.00\nFor apricots, 6 pounds * $3.00 per pound = $18.00\n\nAdding up the costs, we get $12.00 + $8.00 + $18.00 = $38.00\n\nSo, Winston spent \\boxed{38} dollars on fruit."} | |
| {"idx": 198, "gold": "320", "pred": "240", "ok": false, "gen": "Let's break down the information given:\n\n* In the first month, she collected 20 Pokemon cards.\n* In the second month, she collected 3 times the number of cards she collected in the first month, which is 3 * 20 = 60 cards.\n* In the third month, she collected twice the combined number of cards she collected in the first and second months, which is 2 * (20 + 60) = 2 * 80 = 160 cards.\n\nNow, let's add up the total number of Pokemon cards she has:\n\n20 (first month) + 60 (second month) + 160 (third month) = 240\n\nSo, Elaine has \\boxed{240} Pokemon cards now."} | |
| {"idx": 735, "gold": "50", "pred": "50", "ok": true, "gen": "Let's break it down step by step:\n\n1. Candidate A got 20% of the votes, which is 20 votes.\n2. Candidate B got 50% more votes than candidate A, which is 20 + (20 x 0.5) = 20 + 10 = 30 votes.\n3. The total votes for candidates A and B is 20 + 30 = 50 votes.\n4. Since there are 100 voters in total, the number of votes for candidate C is 100 - 50 = 50 votes.\n\nSo, candidate C got \\boxed{50} votes."} | |
| {"idx": 704, "gold": "50", "pred": "90", "ok": false, "gen": "Let's break it down step by step:\n\n1. Gerald spent $10 on a book.\n2. The total amount Gerald had was $100.\n3. To find out how much Gerald had left, we subtract the amount he spent from the total amount: $100 - $10 = $90.\n\nSo, Gerald had \\boxed{90} dollars left."} | |
| {"idx": 1236, "gold": "84", "pred": "84", "ok": true, "gen": "Let's break down the problem step by step.\n\nLet x be the number of grapes that were at the beginning.\n\nMadeline ate 6 grapes.\n\nHer brother used up 5 times as many grapes as Madeleine, so he used 5 * 6 = 30 grapes.\n\nThe total number of grapes used by both of them is 6 + 30 = 36 grapes.\n\nTheir mother used the remaining grapes to make 4 pies, and each pie requires 12 grapes, so she used 4 * 12 = 48 grapes.\n\nThe total number of grapes used by all three of them is 36 + 48 = 84 grapes.\n\nSince the total number of grapes used is equal to the initial number of grapes, we can set up the equation:\n\nx = 84\n\nSo, there were \\boxed{84} grapes at the beginning."} | |
| {"idx": 541, "gold": "50", "pred": "562.50", "ok": false, "gen": "Let's break it down step by step:\n\nElvis has a monthly saving target of $1125.\nHe wants to save twice as much daily in the second half of the month as he saves in the first half.\nSince there are 2 half-months in a month, he has a total of 4 half-months to save.\nLet's calculate how much he needs to save for each half-month:\n$1125 / 4 = $281.25 per half-month.\nSince he wants to save twice as much daily in the second half as he saves in the first half, he needs to save:\n$281.25 x 2 = $562.50 per day in the second half of the month.\n\nSo, Elvis needs to save \\boxed{562.50} dollars per 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, she sold 10*x copies.\nThe total number of copies sold is 88,000, so we can write the equation: x + 10*x = 88,000.\nCombining like terms, we get 11*x = 88,000.\nDividing both sides by 11, we get x = 8,000.\nSo Harald sold \\boxed{8000} copies."} | |
| {"idx": 940, "gold": "280", "pred": "175", "ok": false, "gen": "\n\nThe children's day celebration involves mass drills in the presence of the President of the country. The problem requires determining the maximum number of children that can participate in the drill. \n\nKey steps:\n1. The drill is conducted in a row of 5 schools, each with 7 rows.\n2. Each school has 5 rows, and each row has 7 children.\n3. The total number of children in the drill is calculated by multiplying the number of schools by the number of rows per school by the number of children per row.\n\nCalculations:\n- Number of schools: 5\n- Number of rows per school: 7\n- Number of children per row: 5\n\nTotal number of children = 5 schools * 7 rows/school * 5 children/row = 175 children\n\nThus, the maximum number of children that can participate in the children's day celebration is \\boxed{175}."} | |
| {"idx": 1098, "gold": "30", "pred": "30", "ok": true, "gen": "Let's break down the information:\n\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 it down step by step:\n\nMr. Sylas buys 40 cows and divides them equally among the 20 stalls.\nSo, each stall gets 40 / 20 = 2 cows.\n\nNow, we want to find out how many cows are in 8 stalls.\nSince each stall has 2 cows, 8 stalls will have 8 x 2 = 16 cows.\n\nThus, there are \\boxed{16} cows in 8 stalls."} | |
| {"idx": 775, "gold": "276", "pred": "276", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Henry needs 57 cars, and each car requires 4 wheels, so he will need 57 x 4 = 228 wheels for cars.\n2. Henry needs 73 motorcycles, and each motorcycle requires 2 wheels, so he will need 73 x 2 = 146 wheels for motorcycles.\n3. In total, Henry will need 228 + 146 = 374 wheels.\n4. Henry has a box with 650 wheels in it.\n5. To find out how many wheels will be left, we subtract the number of wheels Henry needs from the total number of wheels: 650 - 374 = 276.\n\nSo, Henry will have \\boxed{276} wheels left."} | |
| {"idx": 161, "gold": "32", "pred": "20", "ok": false, "gen": "\n\n\\boxed{20}"} | |
| {"idx": 1130, "gold": "25", "pred": "25", "ok": true, "gen": "\n\nNik has 200 crayons, each weighing 1 ounce. He wants to separate them into groups of 8 and put them into boxes. Each box weighs 8 ounces, and each box weighs 1 ounce per 8 ounces. \n\nFirst, we calculate the total weight of the crayons:\n\\[\n200 \\text{ crayons} \\times 1 \\text{ ounce per crayon} = 200 \\text{ ounces}\n\\]\n\nNext, we determine how many boxes are needed. Since each box holds 8 crayons, we divide the total number of crayons by 8:\n\\[\n200 \\text{ crayons} \\div 8 \\text{ crayons per box} = 25 \\text{ boxes}\n\\]\n\nThe total weight of the boxes is:\n\\[\n25 \\text{ boxes} \\times 8 \\text{ ounces per box} = 200 \\text{ ounces}\n\\]\n\nAdding the total weight of the crayons and the boxes:\n\\[\n200 \\text{ ounces} + 200 \\text{ ounces} = 400 \\text{ ounces}\n\\]\n\nConverting ounces to pounds:\n\\[\n400 \\text{ ounces} \\div 16 \\text{ ounces per pound} = 25 \\text{ pounds}\n\\]\n\nThus, the total weight of the crayons and the boxes is \\boxed{25} pounds."} | |
| {"idx": 600, "gold": "10", "pred": "12", "ok": false, "gen": "\n\nLet's determine the weight that Jamaal uses after adjusting his workout routine.\n\n1. **Initial Weight:**\n - Jamaal starts with an **8-pound weight**.\n\n2. **Adjusting the Weight:**\n - He increases the weight by **50%**.\n - To find the new weight, calculate 50% of 8 pounds:\n \\[\n 50\\% \\text{ of } 8 = 0.5 \\times 8 = 4 \\text{ pounds}\n \\]\n - Add this to the original weight:\n \\[\n 8 \\text{ pounds} + 4 \\text{ pounds} = 12 \\text{ pounds}\n \\]\n\n3. **Final Weight:**\n - Jamaal now uses a **12-pound weight**.\n\n\\[\n\\boxed{12}\n\\]"} | |
| {"idx": 1287, "gold": "84", "pred": "76", "ok": false, "gen": "Let's break it down:\n\n* 2 brothers: 12 (the younger brother) and 16 (the older brother) = 28\n* 3 sisters: 16 (the age of each sister) = 48\n\nTotal age = 28 + 48 = 76\n\nSo, the total age of all these siblings is \\boxed{76}."} | |
| {"idx": 1266, "gold": "147", "pred": "147", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. German Shepherds: 3 German Shepherds, each consuming 5 kilograms of dog food per day. So, the total amount of dog food needed per day for German Shepherds is 3 x 5 = 15 kilograms.\n2. Bulldogs: 2 Bulldogs, each consuming 3 kilograms of dog food per day. So, the total amount of dog food needed per day for Bulldogs is 2 x 3 = 6 kilograms.\n3. Total dog food needed per day: 15 kilograms (German Shepherds) + 6 kilograms (Bulldogs) = 21 kilograms.\n4. Total dog food needed in a week: 21 kilograms (per day) x 7 days (a week) = 147 kilograms.\n\nTherefore, the Kennel house will need \\boxed{147} kilograms of dog food in a week."} | |
| {"idx": 740, "gold": "25", "pred": "15", "ok": false, "gen": "Let's denote the number of students who like to play video games as $x$.\nSince the number of students who like to play music is twice the number that prefer playing basketball, the number of students who like to play music is $2*5 = 10$.\nThe total number of students who like to play video games or play music is $x + 10$.\nThe total number of students who like to play video games or play music is also equal to the total number of students minus the number of students who like to bake, play basketball, or play music.\nSo $x + 10 = 50 - 10 - 5 - 10$.\nThis implies $x + 10 = 25$.\nThus, $x = 15$.\nSo the number of students who like to play video games is \\boxed{15}."} | |
| {"idx": 1182, "gold": "1800", "pred": "1800", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Bob has $27000 to distribute among 3 schools.\n2. He can buy 100 books for $500, which means he can buy 1 book for $500 / 100 = $5.\n3. Since he has $27000, he can buy a total of $27000 / $5 = 5400 books.\n4. Since he has 3 schools, he can buy 5400 books / 3 schools = 1800 books per school.\n\nSo, Bob can buy \\boxed{1800} books per school."} | |
| {"idx": 393, "gold": "20", "pred": "20", "ok": true, "gen": "Let's break down the time she spent on each activity:\n\n* Writing: 4 hours\n* Recording: 4 hours / 2 = 2 hours\n* Editing: 90 minutes = 1.5 hours\n\nTotal time spent on activities: 4 + 2 + 1.5 = 6 + 1.5 = 7.5 hours\n\nPercentage of time spent editing: (1.5 hours / 7.5 hours) * 100% = 20%\n\nSo, Carol spent \\boxed{20} percent of her total work time editing."} | |
| {"idx": 142, "gold": "140", "pred": "140", "ok": true, "gen": "Let's break down the problem:\n\nJordan plays video games for 2 hours every day.\nIn a week, he would play video games for 2 hours/day * 7 days/week = 14 hours/week.\nIf he worked 14 hours/week instead of playing video games, he would earn $10/hour * 14 hours/week = $140/week.\n\nSo, Jordan would earn \\boxed{140} dollars in one week if he spent his video game time working instead of playing video games."} | |
| {"idx": 93, "gold": "36", "pred": "2.20", "ok": false, "gen": "\n\nLee used to be able to run the 400-meter hurdles two seconds faster than Gerald. This means that if Lee's time is \\( T \\) seconds, Gerald's time is \\( T + 2 \\) seconds. \n\nGerald's improved diet increased his speed by 10%. Therefore, his new time can be calculated as:\n\\[\nT + 2 + 0.10(T + 2)\n\\]\n\nSimplifying this expression:\n\\[\nT + 2 + 0.10T + 0.20 = 1.10T + 2.20\n\\]\n\nThus, the final answer is:\n\\[\n\\boxed{1.10T + 2.20}\n\\]"} | |
| {"idx": 466, "gold": "1", "pred": "0.90", "ok": false, "gen": "\n\nBecky bought 20 apples for 45 cents each, which is calculated as follows:\n\\[\n20 \\times 0.45 = 9 \\text{ dollars}\n\\]\nShe received a 10 percent discount, which is:\n\\[\n0.10 \\times 9 = 0.90 \\text{ dollars}\n\\]\nThus, Becky paid:\n\\[\n9 - 0.90 = 8.10 \\text{ dollars}\n\\]\n\nKelly bought 20 apples for 50 cents each, which is calculated as follows:\n\\[\n20 \\times 0.50 = 10 \\text{ dollars}\n\\]\nShe received a 10 percent discount, which is:\n\\[\n0.10 \\times 10 = 1 \\text{ dollar}\n\\]\nThus, Kelly paid:\n\\[\n10 - 1 = 9 \\text{ dollars}\n\\]\n\nThe difference in the amount Kelly paid compared to Becky is:\n\\[\n9 - 8.10 = 0.90 \\text{ dollars}\n\\]\n\n\\[\n\\boxed{0.90}\n\\]"} | |
| {"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 problem step by step:\n\n1. There are 5 red cars, each costing $4, so the total cost of the red cars is 5 x $4 = $20.\n2. There are 3 action figures, each costing $5, so the total cost of the action figures is 3 x $5 = $15.\n3. The doll costs as much as 3 action figures, which is $15.\n4. To find the total cost of all toys, we add the cost of the red cars, action figures, and doll: $20 + $15 + $15 = $50.\n\nSo, all toys in the room are worth \\boxed{50} dollars."} | |
| {"idx": 206, "gold": "860", "pred": "1060", "ok": false, "gen": "Let's break down the information:\n\n* Micheal rode the bike 5 times a week for 4 weeks, and each time he rode 25 kilometers. So, he rode a total of 5 x 4 x 25 = 500 kilometers.\n* Then, he rode the bike 2 times a week for 3 weeks, and each time he rode 60 kilometers. So, he rode a total of 2 x 3 x 60 = 360 kilometers.\n* Finally, he rode the bike 2 times a week for 4 weeks, and each time he rode 25 kilometers. So, he rode a total of 2 x 4 x 25 = 200 kilometers.\n\nAdding up the total distance, Micheal rode a total of 500 + 360 + 200 = 860 + 200 = 1060 kilometers.\n\nThus, Micheal rode the bike \\boxed{1060} kilometers."} | |
| {"idx": 928, "gold": "60", "pred": "75.6", "ok": false, "gen": "To find the average number of Junebugs that Rita removes per day, we need to add up the total number of Junebugs she removes and divide it by the number of days.\n\nThe total number of Junebugs she removes is 39 + 2*39 + 2*2*39 + 48 + 57 = 39 + 78 + 156 + 48 + 57 = 378.\n\nThere are 5 days in the summer.\n\nSo, the average number of Junebugs that Rita removes per day is 378 / 5 = 75.6.\n\nThus, Rita removes an average of \\boxed{75.6} Junebugs per day."} | |
| {"idx": 1301, "gold": "23", "pred": "34", "ok": false, "gen": "Let's count the cookies he has.\nHe has 9 oatmeal cookies.\nHe has 4 chocolate chip cookies.\nHe has 5 sugar cookies.\nHe has 2 oatmeal cookies for lunch.\nHe has 2 sugar cookies for dinner.\nHe has baked 4 of each flavor for dinner, which is 4 + 4 + 4 = 8 + 4 = 12 cookies.\nSo, in total, he has 9 + 4 + 5 + 2 + 2 + 12 = 13 + 5 + 2 + 2 + 12 = 18 + 2 + 2 + 12 = 20 + 2 + 12 = 22 + 12 = 34 cookies.\nThus, Randy has \\boxed{34} cookies now."} | |
| {"idx": 747, "gold": "350", "pred": "50", "ok": false, "gen": "Let's break it down step by step:\n\n1. He used to buy tomatoes for $.5 each, so he used to spend $0.5 x 500 = $250 per week.\n2. Now he buys tomatoes for $.4 each, so he spends $0.4 x 500 = $200 per week.\n3. To find out how much money he saves, we subtract the new weekly cost from the old weekly cost: $250 - $200 = $50.\n\nSo, the tomato vendor saves \\boxed{50} dollars a week."} | |
| {"idx": 333, "gold": "100", "pred": "100", "ok": true, "gen": "To find the cost difference, we need to calculate the total cost of each offer and then subtract the smaller cost from the larger cost.\n\nThe total cost of Furniture United's offer is:\n$1,350 (advance) + 6 x $350 (monthly) = $1,350 + $2,100 = $3,450\n\nThe total cost of Cozy Homes' offer is:\n$1,100 (advance) + 9 x $250 (monthly) = $1,100 + $2,250 = $3,350\n\nThe cost difference between the two offers is:\n$3,450 (Furniture United) - $3,350 (Cozy Homes) = $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, first calculate the discount amount.\nThe discount amount is $140 * 5 / 100 = 700 / 100 = 7$.\nNow subtract the discount amount from the original price to find the amount you will pay.\nSo $140 - 7 = 133$.\nThus, you will pay \\boxed{133} dollars after the discount."} | |
| {"idx": 727, "gold": "112", "pred": "304", "ok": false, "gen": "Let's break it down:\n\n* 64 students' cars have 4 windows each, so 64 x 4 = 256 windows\n* 32 teachers' cars have 2 windows each, so 32 x 2 = 64 windows\n* Total windows = 256 + 64 = 320 windows\n\nSince Hannah shatters 3/4ths of the teachers' cars' windows, she shatters:\n\n3/4 x 64 = 48 windows\n\nSo, Hannah shatters a total of 256 + 48 = 304 windows.\n\nThe answer is \\boxed{304}."} | |
| {"idx": 429, "gold": "13", "pred": "13", "ok": true, "gen": "Indras' name has 6 letters.\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.\nSo her sister's name has 3 + 4 = 7 letters.\nThe total number of letters in Indras and her sister's names is 6 + 7 = 13.\nThus, Indras and her sister's names have \\boxed{13} letters."} | |
| {"idx": 546, "gold": "130", "pred": "5", "ok": false, "gen": "Elise has written the alphabet twice, once, and then re-written everything she has already written. \nSo she has written 2 + 1 + 2 = 3 + 2 = 5 letters in total.\nThus, the answer is \\boxed{5}."} | |
| {"idx": 146, "gold": "2125", "pred": "2125", "ok": true, "gen": "Let's break it down step by step:\n\n1. Johnny picks up the 500 piece lego.\n2. He picks up the 3 times more pieces, which is 3 x 500 = 1500 pieces.\n3. He picks up the 1/4 the number of pieces, which is 1/4 x 500 = 125 pieces.\n\nNow, let's add up the total number of pieces Johnny picks up:\n\n500 + 1500 + 125 = 2000 + 125 = 2125\n\nSo, Johnny picks up \\boxed{2125} blocks."} | |
| {"idx": 1247, "gold": "7", "pred": "3", "ok": false, "gen": "He started with 10 marbles.\nHe dropped half of them, so he was left with 10 / 2 = 5 marbles.\nHe then picked up 3 marbles and dropped the other 2.\nSo, he ended up with 5 - 2 = 3 marbles.\nThus, Brendan ended up with \\boxed{3} marbles."} | |
| {"idx": 1300, "gold": "120", "pred": "2", "ok": false, "gen": "Since Josh runs a car shop and services 3 cars a day, he makes $4 * 3 = 12$ dollars per day.\nSince he is open every day except Sunday and Wednesday, he is open 5 days a week.\nSo in a week, he makes $12 * 5 = 60$ dollars.\nIn 2 weeks, he makes $60 * 2 = 120$ dollars.\nThus, Josh makes \\boxed{120} dollars in 2 weeks."} | |
| {"idx": 350, "gold": "8", "pred": "8", "ok": true, "gen": "Let's break down the hours for each activity:\n\nMonday: 1 hour yoga\nTuesday: 3 hours cooking\nWednesday: 0.5 hours cheese-tasting\nThursday: 1.5 hours museum tour\nFriday: 2 hours errands\n\nAdding up the hours: 1 + 3 + 0.5 + 1.5 + 2 = 4 + 0.5 + 1.5 + 2 = 4.5 + 1.5 + 2 = 6 + 2 = 8 hours\n\nSo, the total hours of all Peyton\u2019s after-work activities will be \\boxed{8}."} | |
| {"idx": 1093, "gold": "144", "pred": "20", "ok": false, "gen": "To find the cost of painting the room, we need to calculate the total area of the room and then divide it by the cost per square foot.\n\nThe area of the room is the sum of the areas of the four walls:\nArea of north wall = 10 x 8 = 80 square feet\nArea of south wall = 10 x 8 = 80 square feet\nArea of east wall = 5 x 8 = 40 square feet\nArea of west wall = 5 x 8 = 40 square feet\nTotal area of room = 80 + 80 + 40 + 40 = 160 + 40 + 40 = 200 + 40 = 240 square feet\n\nNow, we divide the total area of the room by the cost per square foot to find the total cost:\nTotal cost = Total area of room / Cost per square foot\nTotal cost = 240 / 12\nTotal cost = 20\n\nSo, it will cost Tony \\boxed{20} dollars to paint the room."} | |
| {"idx": 334, "gold": "6", "pred": "6", "ok": true, "gen": "Let's add up the total number of guns: 8 + 10 + 1 + 5 = 18 + 1 + 5 = 19 + 5 = 24 guns.\nIf they were to share them equally, each of them would have 24 / 4 = 6 guns.\nSo, each of them 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 seventy loaves of bread last Friday.\nThe bakery has 40 less than seven times as many loaves of bread as Sam had last Friday.\nSeven times the number of loaves Sam had last Friday is 7 * 70 = 490.\n40 less than that is 490 - 40 = 450.\n\nSo, the bakery has \\boxed{450} loaves of bread."} | |
| {"idx": 777, "gold": "4400", "pred": "9200", "ok": false, "gen": "Let's break down the cost of replacing the movies.\nThe cost of replacing the 600 movies is $600 * 10 = 6000$.\nThe cost of replacing the 40% of the remaining movies is $400 * 5 = 2000$.\nThe cost of replacing the remaining 60% of the remaining movies is $400 * 5 * 0.6 = 2000 * 0.6 = 1200$.\nThus, the total cost of replacing the movies is $6000 + 2000 + 1200 = 8000 + 1200 = 9200$.\nSo Mike needs to spend \\boxed{9200} dollars to replace his movie collection."} | |
| {"idx": 552, "gold": "450", "pred": "450", "ok": true, "gen": "\n\nAntonella earns a commission-based salary system where she gets 30% of the sales if the sales are $1000 or less, and an additional 10% if the sales exceed $1000. \n\n1. **First $1000 of sales**: \n \\[\n 30\\% \\text{ of } \\$1000 = 0.30 \\times 1000 = \\$300\n \\]\n\n2. **Remaining $1500 of sales**: \n \\[\n 10\\% \\text{ of } \\$1500 = 0.10 \\times 1500 = \\$150\n \\]\n\n3. **Total commission earned**: \n \\[\n \\$300 + \\$150 = \\$450\n \\]\n\nThus, Antonella earned \\boxed{450} dollars."} | |
| {"idx": 1310, "gold": "64", "pred": "4", "ok": false, "gen": "Since Aaron ran twice as fast as Vanessa, he would have completed 4 miles in half the time Vanessa took. \nSo Aaron would have completed 4 miles in 16 / 2 = 8 minutes.\nSince Vanessa ran twice as far as Aaron, she would have completed 4 miles in half the time Aaron took.\nSo Vanessa would have completed 4 miles in 8 / 2 = 4 minutes.\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\nFirst, we know that Gomer ate 5 less than 23 scoops of mashed potatoes, so Gomer ate 23 - 5 = 18 scoops of mashed potatoes.\n\nNext, we know that it takes 3 less than 6 potatoes to make 1 less than 3 scoops of mashed potatoes. So, it takes 6 - 3 = 3 potatoes to make 3 - 1 = 2 scoops of mashed potatoes.\n\nNow, we can set up a proportion to find out how many potatoes Gomer ate:\n\n3 potatoes / 2 scoops = x potatoes / 18 scoops\n\nWe can cross-multiply and solve for x:\n\n3 * 18 = 2x\n54 = 2x\nx = 54 / 2\nx = 27\n\nSo, Gomer ate \\boxed{27} potatoes."} | |
| {"idx": 449, "gold": "112", "pred": "112", "ok": true, "gen": "Let's break down the number of colors of crayons she bought:\n\n* Six packets of eight pieces of colors each: 6 x 8 = 48 colors\n* Four packets of sixteen pieces of colors each: 4 x 16 = 64 colors\n\nAdding the number of colors from both sets of packets, we get: 48 + 64 = 112 colors\n\nSo, Beatrice bought \\boxed{112} colors of crayons in all."} | |
| {"idx": 664, "gold": "32", "pred": "32", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. John takes a cooking class for 6 weeks.\n2. The class meets 4 times a week for 2 hours each time, so the total number of hours in the class is 4 x 2 = 8 hours per week.\n3. Since the class meets 6 times a week, the total number of hours in the class is 8 hours/week x 6 weeks = 48 hours.\n4. John learns a new recipe for every 1.5 hours of class time.\n5. To find out how many recipes he learns, we divide the total number of hours in the class by the number of hours it takes him to learn one recipe: 48 hours / 1.5 hours/recipe = 32 recipes.\n\nTherefore, John learns \\boxed{32} recipes."} | |
| {"idx": 114, "gold": "6", "pred": "1800", "ok": false, "gen": "Let's break down the information:\n\n* Jamal's phone can hold 1800 photographs.\n* Brittany's phone can hold 50 times more photographs than Jamal's phone, so Brittany's phone can hold 1800 x 50 = 90,000 photographs.\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. Let's call the number of birds in Jamal's photograph of ducks at the zoo \"x\". Then, 50x = 90,000, which implies x = 1,800.\n\nSo, the maximum number of ducks that Jamal's photograph of ducks at the zoo can hold is 1,800.\n\nThe answer is \\boxed{1800}."} | |
| {"idx": 469, "gold": "4", "pred": "4", "ok": true, "gen": "Let's break down the problem step by step.\n\nFirst, we need to find out how many cupcakes Mary needs to bake in total. Since each jar of sprinkles can decorate 8 cupcakes, and she has 6 jars, she needs 6 x 8 = 48 cupcakes.\n\nNext, we need to find out how many pans she needs to bake. Since each pan holds 12 cupcakes, we can divide the total number of cupcakes she needs (48) by the number of cupcakes per pan (12) to find out how many pans she needs:\n\n48 cupcakes / 12 cupcakes per pan = 4 pans\n\nSo, Mary needs to bake \\boxed{4} pans worth of cupcakes."} | |
| {"idx": 646, "gold": "79", "pred": "79", "ok": true, "gen": "To find the total distance biked by Alisa and Stanley, we need to calculate the distance biked by each of them and then add them up.\n\nAlisa biked 12 miles per hour for 4.5 hours, so the distance she biked is:\n12 miles/hour * 4.5 hours = 54 miles\n\nStanley biked 10 miles per hour for 2.5 hours, so the distance he biked is:\n10 miles/hour * 2.5 hours = 25 miles\n\nThe total distance biked by Alisa and Stanley is:\n54 miles + 25 miles = 79 miles\n\nSo, Alisa and Stanley biked a total of \\boxed{79} miles."} | |
| {"idx": 821, "gold": "35", "pred": "35", "ok": true, "gen": "Let's break it down step by step:\n\n1. Hunter counted 50 cars in the parking lot during the first break.\n2. He counted 20 more cars in the parking lot during the second break.\n3. So, the total number of cars he counted during the first two breaks is 50 + 20 = 70.\n4. 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.\n5. So, the number of cars he counted during lunch break is 70 - 35 = 35.\n\nTherefore, 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 $x$.\nSince Mark lost 10 pounds per month for 3 months, his weight after 3 months is $x - 3*10 = x - 30$.\nWe are told that his weight after 3 months is 70 pounds.\nSo $x - 30 = 70$ which implies $x = 100$.\nThus, Mark's initial weight was \\boxed{100} pounds."} | |
| {"idx": 135, "gold": "40", "pred": "40", "ok": true, "gen": "Brian has 20 video games but lost 5, so he has 20 - 5 = 15 video games.\nBobby has 5 fewer than 3 times as many video games as Brian.\n3 times as many video games as Brian is 3 * 15 = 45.\n5 fewer than that is 45 - 5 = 40.\nSo Bobby has \\boxed{40} video games."} | |
| {"idx": 432, "gold": "30", "pred": "10", "ok": false, "gen": "Let's break down the information given in the problem:\n\n* Prince Thaddeus slew 100 dragons.\n* Prince Arthur slew 100 / 4 = 25 dragons (since he killed 3/4 as many dragons as Prince Thaddeus).\n* Prince Walter slew 25 * 2 = 50 dragons (since he killed 2/3 as many dragons as Prince Arthur).\n* Prince Bruce slew 50 / 5 = 10 dragons (since he killed 1/5 as many dragons as Prince Walter).\n\nSo, Prince Bruce slew \\boxed{10} dragons."} | |
| {"idx": 1161, "gold": "170", "pred": "140", "ok": false, "gen": "Let's break down the problem step by step:\n\n1. Abraham owns 80 square meters of unused land.\n2. He sells half of the land for $50, which is 80 / 2 = 40 square meters. He earns $50 from this sale.\n3. He sells another 1/4 of his land for $30, which is 80 / 4 = 20 square meters. He earns $30 from this sale.\n4. He sells the remaining land for $3 per square meter. Since he has already sold 40 + 20 = 60 square meters, he has 80 - 60 = 20 square meters left. He earns $3 per square meter, so he earns $3 x 20 = $60 from this sale.\n\nNow, let's add up the total amount of money Abraham will be able to earn after selling all his unused land:\n\n$50 (from the first sale) + $30 (from the second sale) + $60 (from the third sale) = $140\n\nSo, Abraham will be able to earn \\boxed{140} dollars after selling all his unused land."} | |
| {"idx": 644, "gold": "29", "pred": "57", "ok": false, "gen": "Let's break down the information:\n\n* Steve is 60 years old.\n* His wife is 4 years older than him, so she is 60 + 4 = 64 years old.\n* His son is half as old as his mom, so he is 64 / 2 = 32 years old.\n* His son's wife is 3 years younger than his husband, so she is 60 - 3 = 57 years old.\n\nThus, Steve's son's wife is \\boxed{57} years old."} | |
| {"idx": 435, "gold": "5", "pred": "5", "ok": true, "gen": "Let's break it down:\n\nRay had 25 lollipops.\nHe shared the remaining 25 - 5 = 20 lollipops equally with his four friends.\nTo find out how many lollipops each friend received, we divide the number of lollipops shared (20) by the number of friends (4).\n20 \u00f7 4 = 5\n\nSo each of Ray's friends received \\boxed{5} lollipops."} | |
| {"idx": 1022, "gold": "12", "pred": "4", "ok": false, "gen": "Let's denote the number of small stuffed animals as $x$.\nThen the number of large stuffed animals is $2*x$.\nThe total number of stuffed animals is $x + 2*x = 3*x$.\nThe total amount of money she earned is $4*x + 12*(2*x) = 4*x + 24*x = 28*x$.\nAs the problem states, this total amount is $120.\nSo $120 = 28*x$ which implies $x = 120 / 28 = 4.2857142857142857$.\nSince the number of stuffed animals has to be an integer, we round down to the nearest integer.\nThus, Teresa sold \\boxed{4} small stuffed animals."} | |
| {"idx": 810, "gold": "310", "pred": "310", "ok": true, "gen": "\n\nThe problem states that the number of students on campus doubles every month. Starting with 10 students, the number of students at the end of each month is calculated as follows:\n\n- **January**: \\(10 \\times 2 = 20\\)\n- **February**: \\(20 \\times 2 = 40\\)\n- **March**: \\(40 \\times 2 = 80\\)\n- **April**: \\(80 \\times 2 = 160\\)\n- **May**: \\(160 \\times 2 = 320\\)\n\nThe number of additional students who 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\n\\[\n320 - 10 = 310\n\\]\n\nThus, the number of additional students who joined by the end of May is \\(\\boxed{310}\\)."} | |
| {"idx": 1316, "gold": "230", "pred": "470", "ok": false, "gen": "The cost of the radiator is $400.\nHe gets it for 80% off, so he pays $400 * 80 / 100 = 32000 / 100 = 320$.\nHe then hires a mechanic to install it and it takes 3 hours at $50 an hour. So he pays $50 * 3 = 150$.\nThus, the total amount he paid is $320 + 150 = 470$.\nSo Mark paid \\boxed{470} dollars."} | |
| {"idx": 939, "gold": "650", "pred": "650", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Craig has spelled out 20 words with 15 letters each, so he has spelled out a total of 20 x 15 = 300 letters.\n2. If Craig's brother has spelled words with a total count of letters 50 more than Craig, then his brother has spelled out a total of 300 + 50 = 350 letters.\n3. To find the total number of letters in the words they've spelled after the ten rounds, add the number of letters Craig has spelled out to the number of letters his brother has spelled out: 300 + 350 = 650.\n\nSo, the total number of letters in the words Craig and his brother have spelled after the ten rounds is \\boxed{650}."} | |
| {"idx": 292, "gold": "75", "pred": "75", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Susan earns $5 every 10 minutes for an online task.\n2. She works between 8 a.m. and 11 a.m., which is a total of 3 hours.\n3. Since she pauses in between for half an hour, she actually works for 3 hours - 0.5 hours = 2.5 hours.\n4. To find out how much money she earns, we need to convert the total hours she works from hours to minutes: 2.5 hours x 60 minutes/hour = 150 minutes.\n5. Since she earns $5 every 10 minutes, we can divide the total minutes she works by 10 to find out how many 10-minute intervals she works: 150 minutes / 10 minutes/interval = 15 intervals.\n6. Finally, we can multiply the number of intervals by her hourly wage to find out how much money she earns: 15 intervals x $5/interval = $75.\n\nTherefore, Susan earns \\boxed{75} dollars for the online task."} | |
| {"idx": 542, "gold": "7", "pred": "7", "ok": true, "gen": "Let's calculate the total amount of money Verna spent on fruits.\nShe bought three apples at $1.50 each, so she spent $3 * 1.50 = 4.50$ on apples.\nShe bought five oranges at $0.80 each, so she spent $5 * 0.80 = 4.00$ on oranges.\nShe bought six peaches at $0.75 each, so she spent $6 * 0.75 = 4.50$ on peaches.\nThe total amount she spent is $4.50 + 4.00 + 4.50 = 8.5 + 4.50 = 13$.\nSince she gave $20, the change she received is $20 - 13 = 7$.\nThus, Verna received \\boxed{7} dollars in change."} | |
| {"idx": 505, "gold": "1600", "pred": "200", "ok": false, "gen": "Let's calculate the cost of the sticks for each type of wood.\nFor 2 x 4 sticks, the cost is $4 per stick. So for 200 sticks, the cost is $4 * 200 = 800$.\nFor 2 x 8 sticks, the cost is $6 per stick. So for 400 sticks, the cost is $6 * 400 = 2400$.\nSince $800 is less than $2400, he should buy 2 x 4 sticks.\nSo he can make 200 popsicles with the cheapest wood.\nThus, Frederick can make \\boxed{200} popsicles."} | |
| {"idx": 1103, "gold": "90", "pred": "90", "ok": true, "gen": "Let's break down the information:\n\n* 6 jellyfish changed color.\n* These 6 jellyfish are the ones that were large and changed color.\n* Since a third of the large jellyfish changed color, the total number of large jellyfish is 6 * 3 = 18.\n* Since a fifth of the large jellyfish changed color, the total number of jellyfish is 18 * 5 = 90.\n\nSo, there are \\boxed{90} jellyfish in the tank."} | |
| {"idx": 538, "gold": "18", "pred": "0", "ok": false, "gen": "Let's break down the problem:\n\nEmma needs to make 72 vlogs per month.\nShe has already made 18 vlogs for the first week, 21 vlogs for the second week, and 15 vlogs for the third week.\nSo, she has made a total of 18 + 21 + 15 = 39 + 15 = 54 vlogs in the first three weeks.\nThis means she still needs to make 72 - 54 = 18 vlogs per month.\nSince she has already made 54 vlogs in the first three weeks, she needs to make 18 vlogs in the remaining weeks.\nThere are 3 weeks left in the month, so she needs to make 18 / 3 = 6 vlogs per week.\nSince she has already made 72 vlogs per month, she needs to make 72 / 3 = 24 vlogs per month.\nSo, she needs to make 24 - 54 = -30 vlogs per month.\nHowever, she cannot make a negative number of vlogs, so this means she has already made 72 vlogs per month.\nThus, Emma can make \\boxed{0} more vlogs per month."} | |
| {"idx": 1197, "gold": "2400", "pred": "1800", "ok": false, "gen": "Let's break down the problem step by step.\n\nJohn buys 10 bottles of whisky for a total cost of $600.\n\nHe buys twice as many bottles of cognac as whisky, which is 2 x 10 = 20 bottles.\n\nCognac costs 50% more per bottle than whisky, so the cost per bottle of cognac is $600 / 10 = $60.\n\nThe total cost of 20 bottles of cognac is 20 x $60 = $1200.\n\nThe total cost of everything is the sum of the cost of whisky and cognac: $600 + $1200 = $1800.\n\nSo, John spends \\boxed{1800} dollars on everything."} | |
| {"idx": 877, "gold": "7000", "pred": "7000", "ok": true, "gen": "\n\nIsaias has 300 chickens on his farm and plans to sell 3/5 of them. To find out how many chickens he plans to sell, we calculate:\n\n\\[\n\\frac{3}{5} \\times 300 = 180 \\text{ chickens}\n\\]\n\nEach chicken is sold for $50, so the total revenue from selling 180 chickens is:\n\n\\[\n180 \\times 50 = 9000 \\text{ dollars}\n\\]\n\nIsaias needs to make a profit of $2000. Therefore, the total cost of the chickens he took to the market is:\n\n\\[\n9000 - 2000 = 7000 \\text{ dollars}\n\\]\n\nThus, Isaias bought the chickens he took to the market for sale for \\boxed{7000} dollars."} | |
| {"idx": 1195, "gold": "320", "pred": "290", "ok": false, "gen": "Let's break it down step by step:\n\n* The first 50 people entered the restaurant at 10:00.\n* 40 more people entered the restaurant at 10:00, making a total of 50 + 40 = 90 people.\n* Twice the number of people who entered the restaurant at 10:00 (i.e., 2 x 40 = 80 people) came in and ordered lunch. So, the total number of people who entered the restaurant by evening is 90 + 80 = 170.\n* By evening, an additional 3 times as many people as the number that came in first (i.e., 3 x 40 = 120 people) came in and ordered lunch. So, the total number of people who entered the restaurant on that day is 170 + 120 = 290.\n\nThus, Mr. Maxim's restaurant had \\boxed{290} people entering it on that day."} | |
| {"idx": 817, "gold": "15", "pred": "15", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Paul needs 63 cupcakes in total.\n2. He already has 8 chocolate cupcakes and 40 toffees, which is a total of 8 + 40 = 48 cupcakes.\n3. To find out how many more cupcakes he needs, we subtract the number of cupcakes he already has from the total number of cupcakes he needs: 63 - 48 = 15.\n\nSo, Paul needs to buy \\boxed{15} more cupcakes."} | |
| {"idx": 741, "gold": "28", "pred": "28", "ok": true, "gen": "Let's break it down step by step:\n\nInitially, Jeremy saw 12 birds in his backyard.\nHe threw a stone at them, scaring away 1/3 of that number, which is 12 / 3 = 4 birds.\nSo, after the stone was thrown, there were 12 - 4 = 8 birds left in the backyard.\nThen, 20 more birds joined the fearless birds, making a total of 8 + 20 = 28 birds in the backyard.\n\nThus, there are \\boxed{28} birds in the backyard now."} | |
| {"idx": 283, "gold": "68", "pred": "100", "ok": false, "gen": "To find out how many sterling silver beads Katerina uses per necklace, we need to divide the total length of the necklace by the length of each sterling silver bead.\n\nThe total length of the necklace is 25 inches.\nThe length of each sterling silver bead is 1/4 inch.\n\nSo, the number of sterling silver beads Katerina uses per necklace is 25 / (1/4) = 25 * 4 = 100.\n\nThus, Katerina uses \\boxed{100} sterling silver beads per necklace."} | |
| {"idx": 1043, "gold": "130000", "pred": "130000", "ok": true, "gen": "There are 26 countries in South America and each country has 5 cities with 1000 people living in each city.\nSo the total number of cities in South America is $26 * 5 = 130$.\nSince each city has 1000 people living in it, the total number of people in South America is $130 * 1000 = 130000$.\nThus, there are \\boxed{130000} people in South America."} | |
| {"idx": 1010, "gold": "5", "pred": "5", "ok": true, "gen": "Let's break down the information:\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* Bethany can run 10 laps in one hour, and Quinn can run 5 laps in one hour, so Bethany can run 10 - 5 = 5 more laps than Quinn.\n\nThus, Bethany can run \\boxed{5} more laps compared to Quinn."} | |
| {"idx": 186, "gold": "5", "pred": "1", "ok": false, "gen": "\n\n\\boxed{1}"} | |
| {"idx": 96, "gold": "3", "pred": "3", "ok": true, "gen": "Let's break it down step by step:\n\n1. Harry slept 9 hours last night.\n2. James slept 2/3 of what Harry slept, which is (2/3) * 9 = 0.6666666666666666 * 9 = 6 hours.\n3. To 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 last night."} | |
| {"idx": 224, "gold": "180", "pred": "180", "ok": true, "gen": "Let's break down the problem:\n\nCarlos rents a canoe for $30 an hour and uses it for 3 hours, so he pays $30 * 3 = 90$.\n\nBenji rents a raft for $18 an hour and uses it for 5 hours, so he pays $18 * 5 = 90$.\n\nThe total amount they pay for their rentals is $90 + 90 = 180$.\n\nThus, Carlos and Benji pay \\boxed{180} dollars for their rentals."} | |
| {"idx": 313, "gold": "120000", "pred": "6000", "ok": false, "gen": "Let's break it down step by step:\n\n1. Cera is 46 years old now.\n2. Noah was half as old as Cera, so Noah was 46 / 2 = 23 years old now.\n3. The population of Chile six years ago was half as old as Noah, so it was 23 / 2 = 11.5 times the current population of Chile.\n4. Since the population of Chile six years ago was 3000 times the age of Noah, we can set up the equation: 11.5x = 3000 * 23, where x is the current population of Chile.\n5. Solving for x, we get: x = 3000 * 23 / 11.5 = 69000 / 11.5 = 6000\n\nSo, the current population of Chile is \\boxed{6000}."} | |
| {"idx": 1285, "gold": "1218", "pred": "1218", "ok": true, "gen": "Let's break it down:\n\nMamou has 1,360 meals to distribute.\nShe has already distributed 64 + 30 + 48 = 94 + 48 = 142 meals.\nSo, she has 1,360 - 142 = 1,218 meals left to distribute.\n\nThus, Mamou has \\boxed{1218} meals left to distribute."} | |
| {"idx": 327, "gold": "31", "pred": "33", "ok": false, "gen": "Let's break down the information:\n\n* Oscar has 24 lollipops.\n* He gives 14 lollipops to his friends.\n* He buys twice as many lollipops on his way home, which is 2 x 14 = 28 lollipops.\n* He eats 3 more lollipops on his way home and 2 more in the morning, for a total of 3 + 2 = 5 lollipops.\n* He has 24 - 14 + 28 - 5 = 10 + 28 - 5 = 38 - 5 = 33 lollipops.\n\nSo, Oscar has \\boxed{33} lollipops."} | |
| {"idx": 1221, "gold": "10", "pred": "10", "ok": true, "gen": "To find out how much seasoning he needs, we can divide the total number of meatballs by the number of meatballs per pound of meat. \nSo, 80 meatballs / 16 meatballs per pound = 5 pounds of meat. \nSince he adds two tablespoons of seasoning per pound of meat, he will need 5 pounds * 2 tablespoons/pound = 10 tablespoons of seasoning. \nThus, he will need \\boxed{10} tablespoons of his secret seasoning."} | |
| {"idx": 130, "gold": "30", "pred": "30", "ok": true, "gen": "Let's break it down step by step:\n\n1. Nissa hires 60 seasonal workers to play elves in her department store's Santa village.\n2. A third of the elves quit after kids vomit on them, which is 60 / 3 = 20 elves.\n3. The remaining elves are 60 - 20 = 40 elves.\n4. 10 of the remaining elves quit after kids kick their shins, which is 40 - 10 = 30 elves.\n\nSo, there are \\boxed{30} elves left."} | |
| {"idx": 788, "gold": "100", "pred": "100", "ok": true, "gen": "Let's break it down:\n\nJohn has $50.\nThe school has decided to cover half the cost of the trip, which is $300 / 2 = 150$.\nSo, John still needs to pay the remaining half of the trip cost, which is $300 - 150 = 150$.\nHowever, John only has $50, which is less than the remaining half of the trip cost.\nThis means that John is short $150 - 50 = 100$ dollars.\n\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 pizzas is $30 + 30 + x + x = 64$.\nThis implies $60 + 2*x = 64$.\nSubtracting 60 from both sides, we get $2*x = 4$.\nDividing both sides by 2, we get $x = 2$.\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.\nThen the length of the longer piece is 4x.\nThe total length of the board is 40 feet.\nSo x + 4x = 40.\nThis implies 5x = 40.\nDividing both sides by 5, we get x = 8.\nSo the length of the longer piece is 4x = 4*8 = 32 feet.\nThus, the length of the longer piece is \\boxed{32} feet."} | |
| {"idx": 958, "gold": "40", "pred": "28", "ok": false, "gen": "Let's denote the actual number of people in attendance as x.\nSince Kelly reported that the audience was 48, and she said that the actual number of people was 20 less than that, we can write the equation: x = 48 - 20.\nSimplifying the equation, we get x = 28.\nSo, the actual number of people in attendance at the concert was \\boxed{28}."} | |
| {"idx": 1083, "gold": "2", "pred": "2", "ok": true, "gen": "To find out how much money Jenny saved, we first need to calculate the total cost of buying the bananas individually and then subtract that from the total cost of buying them in bunches.\n\nThe total number of bananas Jenny bought is 10 * 4 = 40 bananas.\n\nThe cost of buying the bananas individually is 40 * $0.80 = $32.\n\nThe cost of buying the bananas in bunches is 10 * $3.00 = $30.\n\nThe amount of money Jenny saved is $32 - $30 = $2.\n\nThus, 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.\nSo we can write the equation $x + 3*x = 120,000$.\nThis simplifies to $4*x = 120,000$.\nDividing both sides by 4, we get $x = 30,000$.\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 every day.\nShe walks 1 mile on the sidewalk every day.\nSo, in total, she walks 2 + 1 = 3 miles every day.\n\nSince she walks at twice the rate on the sidewalk, the time it takes her to walk on the sidewalk is half the time it takes her to walk on the beach.\nLet's say the time it takes her to walk on the beach is x minutes.\nThen, the time it takes her to walk on the sidewalk is x/2 minutes.\n\nWe know that the total time it takes her to walk 3 miles every day is 3 minutes.\nSo, we can set up the equation: x + x/2 = 3.\n\nTo solve for x, we can multiply both sides of the equation by 2 to get rid of the fraction: 2x + x = 6.\nCombine like terms: 3x = 6.\nDivide both sides by 3: x = 2.\n\nSo, it takes Grandma 2 minutes to walk on the beach.\nSince she walks at twice the rate on the sidewalk, it takes her 2/2 = 1 minute to walk on the sidewalk.\n\nTherefore, the total time it takes Grandma to complete the 3-mile walk is 2 + 1 = 3 minutes.\n\nThus, Grandma walks \\boxed{3} miles every day on her favorite walking trail."} | |
| {"idx": 23, "gold": "8", "pred": "00", "ok": false, "gen": "\n\nTo determine how much shorter a candle will be after burning from 1:00 PM to 5:00 PM, we need to calculate the total time elapsed and then multiply it by the rate at which the candle melts.\n\n1. **Calculate the total time elapsed:**\n - From 1:00 PM to 5:00 PM is 4 hours.\n\n2. **Determine the melting rate:**\n - The candle melts at a rate of 2 centimeters per hour.\n\n3. **Calculate the total melting distance:**\n - Multiply the total time by the melting rate: \\(4 \\text{ hours} \\times 2 \\text{ cm/hour} = 8 \\text{ cm}\\).\n\nThus, the candle will be \\(\\boxed{8}\\) centimeters shorter after burning from 1:00 PM to 5:00 PM."} | |
| {"idx": 234, "gold": "21", "pred": "14", "ok": false, "gen": "Let's break down the problem step by step.\n\nSteve eats 6 tomatoes per day.\nSince there are 7 days in a week, he eats 6 * 7 = 42 tomatoes per week.\nSince a vine can produce 3 tomatoes per week, he needs 42 / 3 = 14 vines.\n\nSo, Steve needs \\boxed{14} vines to grow enough tomatoes for his daily consumption."} | |
| {"idx": 1099, "gold": "2", "pred": "2", "ok": true, "gen": "To find the time difference, we need to calculate the time it takes to ride each slide.\n\nTime = Distance / Speed\n\nTime for the biggest slide = 300 feet / 60 feet/minute = 5 minutes\n\nTime for the second biggest slide = 240 feet / 80 feet/minute = 3 minutes\n\nTime difference = 5 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": "60", "ok": false, "gen": "Let's break down the problem:\n\n* They order 2 meals that cost $5 each, so the total cost of meals per night is 2 x $5 = $10.\n* They order a $5 bottle of wine per night, so the total cost per night is $10 + $5 = $15.\n* They are open 2 days a week, so the total cost per week is $15 x 2 = $30.\n* Since they are open 2 days a week, they make 2 x $30 = $60 per week.\n\nSo, Tom's restaurant makes \\boxed{60} dollars per week."} | |
| {"idx": 601, "gold": "104", "pred": "3", "ok": false, "gen": "Let's break down the number of games Steve has:\n\n* He has 5 games for Christmas every year, so after 3 years he has 5 * 3 = 15 games.\n* He buys 2 games a month for a year, so he buys 2 * 12 = 24 games.\n* He buys 4 games a month for a year, so he buys 4 * 12 = 48 games.\n* He has 5 games for Christmas every year, so he has 5 * 3 = 15 games.\n\nAdding up all the games, Steve has 15 + 24 + 48 + 15 = 39 + 48 + 15 = 87 + 15 = 102 games.\n\nSo, Steve has \\boxed{102} games after 3 years."} | |
| {"idx": 890, "gold": "25", "pred": "8.33", "ok": false, "gen": "Let's break down the information step by step:\n\n1. One-fourth of the plants are indoor, which means 3/4 of the plants are outdoor.\n2. Two-thirds of the remaining outdoor plants are also outdoor, which means 1/3 of the remaining outdoor plants are flowering plants.\n3. Since 3/4 of the plants are outdoor, 1/3 of the remaining outdoor plants (which is 1/4 of the total plants) are flowering plants.\n\nSo, the percentage of flowering plants is (1/3) * (1/4) = 0.3333333333333333 * (1/4) = 0.3333333333333333 * 0.25 = 0.08333333333333333 or 8.33%.\n\nThus, the percentage of plants that are flowering plants is \\boxed{8.33}."} | |
| {"idx": 323, "gold": "75", "pred": "75", "ok": true, "gen": "\n\nShannon makes herself iced coffee by brewing hot coffee and adding ice cubes. Each ice cube cools the coffee by 13 degrees but makes it 12 milliliters weaker. She adds 15 milliliters of cream, which also weakens the coffee. \n\nTo determine how much weaker Shannon\u2019s iced coffee is when it is cooled by 65 degrees and she adds 15 milliliters of cream, we need to consider the effect of both the ice cubes and the cream on the strength of the coffee.\n\n1. **Effect of Ice Cubes**:\n - Each ice cube cools the coffee by 13 degrees.\n - To cool the coffee by 65 degrees, the number of ice cubes needed is \\( \\frac{65}{13} = 5 \\).\n - Each ice cube makes the coffee 12 milliliters weaker, so 5 ice cubes make the coffee \\( 5 \\times 12 = 60 \\) milliliters weaker.\n\n2. **Effect of Cream**:\n - Adding 15 milliliters of cream weakens the coffee by 15 milliliters.\n\n3. **Total Weakening**:\n - The total weakening of the coffee is the sum of the weakening from the ice cubes and the cream: \\( 60 + 15 = 75 \\) milliliters.\n\nThus, the strength of Shannon\u2019s 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 vehicle traveled and then subtract the distance traveled by the car from the distance traveled by the bus.\n\nDistance traveled by the bus = Speed * Time = 60 miles/hour * 5 hours = 300 miles\nDistance traveled by the car = Speed * Time = 30 miles/hour * 8 hours = 240 miles\n\nNow, we subtract the distance traveled by the car from the distance traveled by the bus:\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* Charleston has 4 times as many sheep as Seattle, and Seattle has 20 sheep, 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* The total number of sheep in Toulouse, Charleston, and Seattle is 160 + 80 + 20 = 240 + 20 = 260\n\nSo, Toulouse, Charleston, and Seattle have \\boxed{260} sheep together."} | |
| {"idx": 539, "gold": "35", "pred": "35", "ok": true, "gen": "Let's break it down step by step:\n\n1. The total amount to be paid is the check amount plus the tip amount.\n2. The tip amount is 20% of the dinner bill amount, which is $50 x 0.20 = $10.\n3. The total amount to be paid is $50 (check) + $10 (tip) = $60.\n4. Since I want to split the check amount evenly with my wife, I'll pay half of the check amount, which is $50 / 2 = $25.\n5. To find out how much I actually paid, I'll add the tip amount to the check amount: $25 (check) + $10 (tip) = $35.\n\nSo, I ended up paying \\boxed{35} dollars."} | |
| {"idx": 1025, "gold": "30", "pred": "40", "ok": false, "gen": "Let's break down the information:\n\n* 100 eggs were hidden by the Smith twins.\n* 30 eggs were found by each of the Smith twins, for a total of 30 + 30 = 60 eggs.\n* All the other eggs except 10 were found by their friends.\n* Since there were 100 eggs in total, and 60 eggs were found by the Smith twins, the number of eggs found by their friends is 100 - 60 = 40 eggs.\n\nSo, the friends found \\boxed{40} eggs."} | |
| {"idx": 365, "gold": "18", "pred": "18", "ok": true, "gen": "Let's break it down:\n\nThere are 6 girls in the park.\nThe number of boys is twice the number of girls, so there are 2 * 6 = 12 boys in the park.\nTo find the total number of kids, we add the number of girls and boys: 6 + 12 = 18.\n\nSo, there are \\boxed{18} kids in the park."} | |
| {"idx": 1039, "gold": "160", "pred": "8", "ok": false, "gen": "To find the total area of fabric needed, we need to calculate the area of the two pieces of fabric.\n\nThe area of one piece of fabric is length times width, which is 2 feet x 2 feet = 4 square feet.\n\nSince Jim needs two pieces of fabric, the total area of fabric needed is 2 x 4 square feet = 8 square feet.\n\nSo, Jim needs to buy \\boxed{8} square feet of fabric."} | |
| {"idx": 217, "gold": "15", "pred": "9", "ok": false, "gen": "Let's denote the number of roses as $x$.\nSince there are 7 more dahlias than roses, the number of dahlias is $x + 7$.\nThe total number of flowers in the vase is the sum of the number of roses and dahlias, which is $x + (x + 7) = 2x + 7$.\nHowever, we are not given the value of $x$. \nBut we can express the total number of flowers in terms of $x$. \nSince the problem does not provide enough information to determine the value of $x$, we cannot determine the exact number of flowers in the vase.\nHowever, if we assume that the problem is asking for the total number of flowers in terms of the number of roses, then the answer would be $2x + 7$.\nBut since the problem is asking for a numerical answer, we will assume that the number of roses is 1 (this is not the case, but it is a reasonable assumption).\nThen the number of dahlias is $1 + 7 = 8$.\nThe total number of flowers in the vase is $1 + 8 = 9$.\nSo, the answer is \\boxed{9}."} | |
| {"idx": 1280, "gold": "7", "pred": "7", "ok": true, "gen": "Let's break down the information:\n\n* Steve took 10 hours to complete the puzzle.\n* Anna took 2 hours more than half Steve's time to complete the puzzle.\n\nHalf Steve's time is 10 / 2 = 5 hours.\n\n2 hours more than half Steve's time is 5 + 2 = 7 hours.\n\nSo, Anna took \\boxed{7} hours to complete the difficult puzzle."} | |
| {"idx": 611, "gold": "1450000", "pred": "105000", "ok": false, "gen": "Let's break down the costs of his research into the first 5 months and the next 5 months.\nThe first 5 months cost $100,000.\nThe next 5 months cost $100,000 * 50 / 100 = 500,000 / 100 = 5000$.\nSo the total cost of his research is $100,000 + 5000 = 105,000$.\nThus, John's research cost \\boxed{105,000} dollars."} | |
| {"idx": 1308, "gold": "30", "pred": "30", "ok": true, "gen": "\n\nTo determine the total number of eggs in both baskets, let's follow these steps:\n\n1. **Define the Variables:**\n - Let \\( A \\) be the number of eggs in the first basket.\n - Let \\( B \\) be the number of eggs in the second basket.\n\n2. **Given Information:**\n - The first basket has **10 eggs**.\n \\[\n A = 10\n \\]\n - The second basket has **twice as many eggs** as the first basket.\n \\[\n B = 2A\n \\]\n\n3. **Calculate the Number of Eggs in the Second Basket:**\n \\[\n B = 2 \\times 10 = 20\n \\]\n\n4. **Find the Total Number of Eggs in Both Baskets:**\n \\[\n \\text{Total} = A + B = 10 + 20 = 30\n \\]\n\n**Final Answer:**\n\\[\n\\boxed{30}\n\\]"} | |
| {"idx": 765, "gold": "490", "pred": "490", "ok": true, "gen": "Let's break it down:\n\nGeorge has 200 bananas.\nHe has 45% more pears than bananas.\nTo find the number of pears, we need to calculate 45% of 200 and add it to 200.\n45% of 200 is 200 * 45 / 100 = 9000 / 100 = 90\nSo, George has 200 + 90 = 290 pears.\nIn total, George has 200 bananas + 290 pears = 490 fruits.\n\nThus, George has \\boxed{490} fruits."} | |
| {"idx": 330, "gold": "31", "pred": "37", "ok": false, "gen": "The customer spent $80 on this shopping trip.\nThey used their rewards, which is $43.\nSo they paid $80 - 43 = 37$ 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* Ben is two times older than Chris, so Ben is 2 * 4 = 8 years old.\n* Caroline is three times older than Ben, so Caroline is 3 * 8 = 24 years old.\n\nThus, Caroline is \\boxed{24} years old."} | |
| {"idx": 1086, "gold": "131250", "pred": "180000", "ok": false, "gen": "\n\nMarcel's bicycle store sells three types of bikes: MTB, BMX, and Trekking. The prices for each type are as follows:\n\n- MTB: $500\n- BMX: $250\n- Trekking: $450\n\nThe sales figures are:\n- 150 MTB bikes\n- 150 BMX bikes\n- 150 Trekking bikes\n\nTo find the total earnings, we calculate the earnings from each type of bike and sum them up:\n\n\\[\n\\text{Earnings from MTB} = 150 \\times 500 = 75000\n\\]\n\\[\n\\text{Earnings from BMX} = 150 \\times 250 = 37500\n\\]\n\\[\n\\text{Earnings from Trekking} = 150 \\times 450 = 67500\n\\]\n\nAdding these amounts together:\n\n\\[\n75000 + 37500 + 67500 = 180000\n\\]\n\nThus, Marcel earned \\boxed{180000} dollars from selling bicycles during that month."} | |
| {"idx": 1, "gold": "3", "pred": "3", "ok": true, "gen": "Let's break it down step by step:\n\n* The robe takes 2 bolts of blue fiber.\n* It takes half that much white fiber, which is 2 / 2 = 1 bolt of white fiber.\n* To find the total number of bolts, we add the number of bolts of blue fiber and white fiber: 2 + 1 = 3.\n\nSo, the robe takes \\boxed{3} bolts of fiber."} | |
| {"idx": 1226, "gold": "90", "pred": "81", "ok": false, "gen": "\n\nKaren's total cost for the manicure and pedicure is calculated as follows:\n\n- **Manicure**: $35 \n- **Pedicure**: $40 \n- **Total for manicure and pedicure**: \\(35 + 40 = 75\\)\n\nAdding the nail art cost: \n\\(75 + 3 \\times 2 = 75 + 6 = 81\\)\n\n**Answer**: Karen would pay a total of \\(\\boxed{81}\\) dollars."} | |
| {"idx": 663, "gold": "193", "pred": "193", "ok": true, "gen": "\n\nJames delivers 600 newspapers in total. The distribution is as follows: 198 newspapers to District A, some to District B, and 209 newspapers to District C. To find the number of newspapers delivered to District B, we subtract the newspapers delivered to Districts A and C from the total:\n\n\\[\n600 - 198 - 209 = 193\n\\]\n\nThus, James delivers \\boxed{193} newspapers to District B."} | |
| {"idx": 1000, "gold": "1", "pred": "8.33", "ok": false, "gen": "Let's break down the time Doctor Jones spends at the clinic:\n\n* Inpatients: 9 inpatients x 20 minutes/patient = 180 minutes\n* Appointments: 10 appointments x 30 minutes/appointment = 300 minutes\n* Total time spent at the clinic: 180 minutes + 300 minutes = 480 minutes\n\nSince there are 60 minutes in an hour, we can convert the total time spent at the clinic to hours:\n\n480 minutes / 60 = 8 hours\n\nDoctor Jones has 9 inpatients at the clinic, and he has already spent 8 hours at the clinic. Therefore, he has:\n\n9 inpatients - 8 hours = 1 inpatient left to check\n\nSince each inpatient takes twenty minutes, the time spent checking the remaining inpatient is:\n\n1 inpatient x 20 minutes/patient = 20 minutes\n\nAdding this to the time spent at the clinic, we get:\n\n8 hours + 20 minutes = 8.33 hours\n\nSo, Doctor Jones has approximately 8.33 hours left to update his records.\n\nThe answer is \\boxed{8.33}."} | |
| {"idx": 39, "gold": "18", "pred": "24", "ok": false, "gen": "Let's break down the problem step by step:\n\n1. If she can skip at 3 miles per hour, then she can run at a rate of 3 x 2 = 6 miles per hour (since she can run four times faster than she can walk).\n2. If she spends one-third of the time running, then she spends 1/3 x 6 = 2 hours running.\n3. If she spends two-thirds of the time walking, then she spends 2/3 x 6 = 4 hours walking.\n4. The distance she can travel in 2 hours running is 6 miles per hour x 2 hours = 12 miles.\n5. The distance she can travel in 4 hours walking is 3 miles per hour x 4 hours = 12 miles.\n6. The total distance she can travel is 12 miles + 12 miles = 24 miles.\n\nSo, Dana can run at a rate of speed four times faster than she can walk, but she can skip at a rate of speed that is half as fast as she can run, and she can travel a total distance of \\boxed{24} miles in six hours if she spends one-third of the time running and two-thirds of the time walking."} | |
| {"idx": 229, "gold": "21", "pred": "21", "ok": true, "gen": "Let's break it down step by step:\n\n1. Ashlyn took 30% of the watermelons home, which is 120 * 30/100 = 3600/100 = 36 melons.\n2. This means that 120 - 36 = 84 melons were left.\n3. Then, she took 3/4 of the remaining melons home, which is 84 * 3/4 = 252/4 = 63 melons.\n4. This means that 84 - 63 = 21 melons were left.\n\nSo, after two weeks, there were \\boxed{21} melons that were not ready to be harvested."} | |
| {"idx": 743, "gold": "8", "pred": "8", "ok": true, "gen": "Let's break it down step by step:\n\n1. The plate initially had 2 slices.\n2. Mara added 3 slices, so the total number of slices became 2 + 3 = 5.\n3. She tripled the number of slices she had, so she now had 5 x 3 = 15 slices.\n4. She ate 2 slices, leaving 15 - 2 = 13 slices.\n5. Her friend stole 5 slices, leaving 13 - 5 = 8 slices.\n\nSo, there are \\boxed{8} cake slices remaining on the plate."} | |
| {"idx": 629, "gold": "17500", "pred": "17500", "ok": true, "gen": "Let's break it down step by step:\n\n1. James sold 10 cars for $25,000 each, so the total amount he made is $25,000 x 10 = $250,000.\n2. The company paid 30% of that price to acquire the cars, which is $250,000 x 0.30 = $75,000.\n3. James made a profit of $250,000 - $75,000 = $175,000.\n4. He got a 10% commission on the profits, which is $175,000 x 0.10 = $17,500.\n\nSo James made \\boxed{17500} dollars."} | |
| {"idx": 490, "gold": "4", "pred": "4", "ok": true, "gen": "To find out how many days it will take him to save the remaining amount of money, we need to first calculate how much more money he needs to save. \nHe needs to save $12 - $4 = $8.\nSince he saves $2 per day, we can divide the amount he needs to save ($8) by the amount he saves per day ($2) to find out how many days it will take him to save the remaining amount.\n$8 / $2 = 4 days.\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 it down step by step:\n\n1. The customs officer cleared 2 containers of imported vehicles on the first day, each containing 5 vehicles. So, the total number of vehicles at the port on the first day is 2 x 5 = 10.\n2. The total number of vehicles at the port on the second day is 30.\n3. To find the number of containers that were imported on the second day, subtract the number of vehicles at the port on the first day from the number of vehicles at the port on the second day: 30 - 10 = 20.\n4. Since each container contains 5 vehicles, divide the number of vehicles at the port on the second day by 5 to find the number of containers that were imported on the second day: 20 / 5 = 4.\n\nSo, the customs officer imported \\boxed{4} containers of vehicles on the second day."} | |
| {"idx": 493, "gold": "25", "pred": "150", "ok": false, "gen": "Heather has 2 packs of razors and each pack costs $4.00.\nSo the total cost of 2 packs of razors is $4.00 * 2 = 8.00$.\nShe also has a $2.00 coupon.\nSo the total cost of 2 packs of razors after the coupon is $8.00 - 2.00 = 6.00$.\nSince each pack has 2 razors, the total number of razors is 2 * 2 = 4.\nSo the cost per razor is $6.00 / 4 = 1.50$.\nSince the question asks for the cost in cents, we convert $1.50 to cents by multiplying by 100.\nThus, the cost per razor is $1.50 * 100 = 150$ cents.\nSo each individual razor costs \\boxed{150} cents."} | |
| {"idx": 175, "gold": "15", "pred": "10", "ok": false, "gen": "Let's break down the problem step by step.\n\nThey sell each glass for $0.50 and get 20 glasses per gallon, so they make $0.50 * 20 = $10 per gallon.\n\nSince they made $25 in profit, they must have spent $25 - $10 = $15 on lemons and sugar.\n\nLet's say they spent x dollars on lemons. Then, they spent 15 - x dollars on sugar.\n\nSince they sell each glass for $0.50, they must have sold x / 0.50 = 2x glasses.\n\nSince they sell each glass for $0.50, they must have made 2x * $0.50 = $x per gallon.\n\nSince they made $10 per gallon, we can set up the equation: $x = $10.\n\nSo, they spent $10 on lemons.\n\nThus, Juan and his brother Carlos spent \\boxed{10} dollars on lemons."} | |
| {"idx": 995, "gold": "12", "pred": "0", "ok": false, "gen": "Let's break down the problem step by step:\n\n1. Adam bought himself some new trousers for $30.\n2. His mother gave him $6 for this purpose.\n3. His father gave him twice as much as his mother, which is $6 x 2 = $12.\n4. Adam's total expenses are $30 (for the trousers) + $6 (from his mother) + $12 (from his father) = $48.\n5. Adam's total income is $30 (from his mother) + $6 (from his mother) + $12 (from his father) = $48.\n6. Since Adam's total income is equal to his total expenses, he has no money left over.\n\nTherefore, Adam had \\boxed{0} dollars left over from his savings."} | |
| {"idx": 141, "gold": "400", "pred": "400", "ok": true, "gen": "Let's denote the number of queen bees as $x$.\nThen the number of baby bees is $2*x$.\nAnd the number of worker bees is $2*(2*x) = 4*x$.\nThe total number of bees is $x + 2*x + 4*x = 7*x$.\nAs the problem states, this total amounts to 700 bees.\nSo $700 = 7*x$ which implies $x = 100$.\nThus, the number of worker bees is $4*x = 4*100 = 400$.\nSo there are \\boxed{400} worker bees in the hive."} | |
| {"idx": 1090, "gold": "72", "pred": "72", "ok": true, "gen": "Let's break it down step by step:\n\n1. The first child is 6 feet tall, which is equal to 6 x 12 = 72 inches.\n2. The second child is two inches taller than the first child, so the second child is 72 + 2 = 74 inches tall.\n3. The third child is five inches shorter than the second child, so the third child is 74 - 5 = 69 inches tall.\n4. The fourth child is three inches taller than the third child, so the fourth child is 69 + 3 = 72 inches tall.\n\nTherefore, the fourth child is \\boxed{72} inches tall."} | |
| {"idx": 257, "gold": "5600", "pred": "2000", "ok": false, "gen": "Let's break it down step by step:\n\n1. The redwood is 200 feet tall.\n2. The redwood is 10 feet wide.\n3. The redwood is 400 pounds.\n4. Termites ate 30% of the redwood's wood, which is 30% of 400 pounds = 0.3 x 400 = 120 pounds.\n5. So, the remaining redwood is 400 - 120 = 280 pounds.\n6. The remaining redwood is still 10 feet wide.\n7. To find the weight of the remaining redwood, we need to multiply its width by its height. Since the redwood is 200 feet tall, the weight of the remaining redwood is 10 feet x 200 feet = 2000 pounds.\n\nTherefore, the remaining redwood weighs \\boxed{2000} pounds."} | |
| {"idx": 262, "gold": "270", "pred": "270", "ok": true, "gen": "Let's break it down step by step:\n\n1. Maddie has 5 boxes with 50 marbles in each box, so she has a total of 5 x 50 = 250 marbles.\n2. She then gets 20 marbles from her friend, so she now has 250 + 20 = 270 marbles.\n\nThus, Maddie has \\boxed{270} marbles now."} | |
| {"idx": 973, "gold": "79", "pred": "79", "ok": true, "gen": "Let's break it down:\n\nIndia has 4 more than half the number of states in the USA.\nSince there are 50 states in the USA, half of that is 50 / 2 = 25.\nSo, India has 25 + 4 = 29 states.\nThe total number of states in both countries is 50 (USA) + 29 (India) = 79.\n\nThus, India has \\boxed{79} states in total."} | |
| {"idx": 1125, "gold": "90", "pred": "90", "ok": true, "gen": "Let's break it down step by step:\n\n1. John buys 3 large bags weighing 10 ounces each, so he has a total of 3 x 10 = 30 ounces of M&M.\n2. Since each ounce of M&M has 30 M&M in it, he has a total of 30 x 30 = 900 M&M.\n3. He wants to put 10 M&M in each small bag, so he can make 900 / 10 = 90 small bags.\n\nThus, John can make \\boxed{90} small bags of M&M."} | |
| {"idx": 338, "gold": "60", "pred": "60", "ok": true, "gen": "\n\nThe problem involves splitting 200 students into three groups where two groups are equal and the third group is 10 fewer than each of the equal groups. Let the number of students in each equal group be \\( x \\). The third group then has \\( x - 10 \\) students. The total number of students is given by:\n\n\\[\nx + x + (x - 10) = 200\n\\]\n\nSimplifying this equation:\n\n\\[\n3x - 10 = 200\n\\]\n\nAdding 10 to both sides:\n\n\\[\n3x = 210\n\\]\n\nDividing by 3:\n\n\\[\nx = 70\n\\]\n\nThus, the number of students in the smallest group is \\( x - 10 = 70 - 10 = 60 \\).\n\n\\[\n\\boxed{60}\n\\]"} | |
| {"idx": 1080, "gold": "72000", "pred": "7200", "ok": false, "gen": "\n\nThe problem involves 5 springs, each producing a new jellyfish every second. To determine the total number of jellyfish in 4 hours (1440 seconds), we calculate the number of jellyfish produced by each spring and sum them up. \n\nEach spring produces 1 jellyfish per second, so 5 springs produce \\(5 \\times 1 = 5\\) jellyfish per second. Over 1440 seconds, the total number of jellyfish is \\(5 \\times 1440 = 7200\\).\n\n\\boxed{7200}"} | |
| {"idx": 1242, "gold": "20", "pred": "20", "ok": true, "gen": "Let's break it down step by step:\n\n1. Skyler has 100 hats in total.\n2. Half of the hats are red, so he has 100 / 2 = 50 red hats.\n3. The remaining hats are 100 - 50 = 50 hats.\n4. 3/5 of the remaining hats are blue, so he has 50 * 3/5 = 150/5 = 30 blue hats.\n5. The rest of the hats are white, so he has 50 - 30 = 20 white hats.\n\nThus, Skyler has \\boxed{20} white hats."} | |
| {"idx": 866, "gold": "28", "pred": "28", "ok": true, "gen": "Let's denote the number of books Anne has as $x$.\nSince Sofie has 25 more books than Anne, Sofie has $x + 25$ books.\nSince Anne has 12 fewer books than Fawn does, Fawn has $x + 12$ books.\nThe total number of books is 85, so we can write the equation: $x + (x + 25) + (x + 12) = 85$.\nSimplifying the equation, we get $3x + 37 = 85$.\nSubtracting 37 from both sides, we get $3x = 48$.\nDividing both sides by 3, we get $x = 16$.\nSo Anne has 16 books, Fawn has $16 + 12 = 28$ books.\nThus, Fawn has \\boxed{28} books."} | |
| {"idx": 433, "gold": "6", "pred": "30", "ok": false, "gen": "\n\nJosey needs 1/4 of a container of gas to run her lawnmower. Since each container is 15 gallons, the amount of gas needed is calculated as follows:\n\n\\[\n\\frac{1}{4} \\times 15 \\text{ gallons} = 3.75 \\text{ gallons}\n\\]\n\nNext, we convert gallons to pints. Since 1 gallon is equal to 8 pints, we have:\n\n\\[\n3.75 \\text{ gallons} \\times 8 \\text{ pints/gallon} = 30 \\text{ pints}\n\\]\n\nThus, Josey needs \\boxed{30} pints of gasoline."} | |
| {"idx": 411, "gold": "1110", "pred": "1270", "ok": false, "gen": "Let's break down the problem step by step:\n\n1. Tim buys a package of fireworks worth $400.\n2. He buys another pack worth twice that much, which is $400 x 2 = $800.\n3. He gets a 20% discount on the first package, which is $400 x 20/100 = $80. So, the discounted price of the first package is $400 - $80 = $320.\n4. He buys a finale firework that costs $150.\n5. The total amount he spent is the sum of the discounted prices of the two packages and the finale firework: $320 + $800 + $150 = $1270.\n\nTherefore, Tim spent \\boxed{1270} dollars in total."} | |
| {"idx": 638, "gold": "12", "pred": "14.17", "ok": false, "gen": "To solve the problem, we need to determine the cost of 5 apples and 5 oranges given the prices of 3 apples and 3 oranges.\n\nFirst, we calculate the cost per apple:\n\\[\n\\text{Cost per apple} = \\frac{\\text{Total cost of 3 apples}}{\\text{Number of apples}} = \\frac{5.20}{3} \\approx 1.7333 \\text{ dollars}\n\\]\n\nNext, we calculate the cost per orange:\n\\[\n\\text{Cost per orange} = \\frac{\\text{Total cost of 3 oranges}}{\\text{Number of oranges}} = \\frac{3.30}{3} = 1.10 \\text{ dollars}\n\\]\n\nNow, we need to find the total cost for 5 apples and 5 oranges:\n\\[\n\\text{Total cost for 5 apples} = 5 \\times \\text{Cost per apple} = 5 \\times 1.7333 \\approx 8.6666 \\text{ dollars}\n\\]\n\\[\n\\text{Total cost for 5 oranges} = 5 \\times \\text{Cost per orange} = 5 \\times 1.10 = 5.50 \\text{ dollars}\n\\]\n\nAdding these two amounts together gives the total cost for 5 apples and 5 oranges:\n\\[\n\\text{Total cost} = 8.6666 + 5.50 = 14.1666 \\text{ dollars}\n\\]\n\nRounding to two decimal places, the total cost is:\n\\[\n\\boxed{14.17}\n\\]"} | |
| {"idx": 764, "gold": "14", "pred": "14", "ok": true, "gen": "Let's break down the expenses of each person.\nLeila bought 3 cucumbers at $2 each, so she spent $3 * 2 = 6$.\nJack bought 5 tomatoes at $1 each, so he spent $5 * 1 = 5$.\nChase bought 1 head of lettuce at $3 each, so she spent $1 * 3 = 3$.\nThe total amount spent by the three of them is $6 + 5 + 3 = 11 + 3 = 14$.\nThus, the three of them spent \\boxed{14} dollars to make a salad for the potluck."} | |
| {"idx": 897, "gold": "1", "pred": "-1", "ok": false, "gen": "Let's break it down step by step:\n\n1. Martha had 3 notebooks initially.\n2. She bought 5 more notebooks, so she now has 3 + 5 = 8 notebooks.\n3. Joseph had 3 times as many notebooks as Martha, so he had 3 x 3 = 9 notebooks.\n4. Martha now has 8 notebooks, which is less than Joseph's 9 notebooks.\n5. To find out how many more notebooks Martha has than Joseph, we subtract Joseph's notebooks from Martha's notebooks: 8 - 9 = -1\n\nSince Martha has less notebooks than Joseph, the answer is that she has \\boxed{-1} more notebook than Joseph."} | |
| {"idx": 1059, "gold": "2", "pred": "2", "ok": true, "gen": "\n\nTo determine how many days 720 grams of cat food will last, we start by calculating the daily consumption of cat food. \n\n1. **Daily Consumption Calculation:**\n - Each cat eats 60 grams of cat food twice a day.\n - Total daily consumption per cat: \\(60 \\, \\text{grams} \\times 2 = 120 \\, \\text{grams}\\).\n - Total daily consumption for 3 cats: \\(120 \\, \\text{grams/cat} \\times 3 \\, \\text{cats} = 360 \\, \\text{grams/day}\\).\n\n2. **Calculating the Number of Days:**\n - We need to find out how many days 720 grams of cat food will last.\n - This is calculated by dividing the total amount of cat food by the daily consumption: \\(\\frac{720 \\, \\text{grams}}{360 \\, \\text{grams/day}} = 2 \\, \\text{days}\\).\n\nThus, the cat food will last for \\(\\boxed{2}\\) days."} | |
| {"idx": 924, "gold": "12", "pred": "3", "ok": false, "gen": "To find the least number of berries he can pick up per trip, we need to divide the total number of berries he wants to collect (24) by the number of trips he can make in 8 hours (8).\n\n\\[ \\frac{24}{8} = 3 \\]\n\nSo, the least number of berries he can pick up per trip down to the ground is $\\boxed{3}$."} | |
| {"idx": 247, "gold": "32", "pred": "32", "ok": true, "gen": "To find out how much each person paid, we need to add up the total cost of the party supplies and then divide it by 3.\n\nThe total cost is $12 + $43 + $15 + $4 + $22 = $96.\n\nDividing the total cost by 3, we get $96 / 3 = $32.\n\nSo each person paid \\boxed{32} dollars."} | |
| {"idx": 507, "gold": "2", "pred": "9", "ok": false, "gen": "To calculate how much Janet saves, we need to first calculate the total cost of the bus passes for a week and then subtract the cost of the bus trips.\n\nThe cost of a weekly bus pass is $20.\nThe cost of a bus trip is $2.20.\nSince Janet takes a bus trip five days a week, the total cost of the bus trips for a week is $2.20 * 5 = 11$.\nThe savings from buying a weekly bus pass is $20 - 11 = 9$.\nThus, Janet saves \\boxed{9} dollars by buying a weekly bus pass."} | |
| {"idx": 460, "gold": "84", "pred": "84", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Grayson recycles cans and bottles for money each week.\n2. She drinks three aluminum cans of soda and five plastic bottles of water a week.\n3. The value of one aluminum can is 2 cents, so the value of three aluminum cans is 3 x 2 = 6 cents.\n4. The value of one plastic bottle is 3 cents, so the value of five plastic bottles is 5 x 3 = 15 cents.\n5. The total value of cans and bottles she recycles per week is 6 + 15 = 21 cents.\n6. Since she does this for four weeks, the total value of cans and bottles she recycles in a four-week month is 21 x 4 = 84 cents.\n\nSo, Grayson earns \\boxed{84} cents from recycling in a four-week month."} | |
| {"idx": 131, "gold": "940", "pred": "940", "ok": true, "gen": "\n\nJoseph's expenditure in May was $500. In June, his expenditure was $60 less than in May, which is calculated as follows:\n\n\\[\n500 - 60 = 440\n\\]\n\nTo find the total expenditure for both months, we add the amounts from May and June:\n\n\\[\n500 + 440 = 940\n\\]\n\nThus, the total expenditure for Joseph in May and June was \\boxed{940} dollars."} | |
| {"idx": 692, "gold": "32", "pred": "19", "ok": false, "gen": "Let's compute the price of each fruit separately and then add them up.\nThe price of 5 bananas is $5 * 0.5 = 2.5$.\nThe price of 12 apples is $12 * 0.5 = 6$.\nThe price of 7 oranges is $7 * 1.5 = 10.5$.\nSo the total price of the crate is $2.5 + 6 + 10.5 = 8.5 + 10.5 = 19$.\nThus, the price of such a crate of fruit is \\boxed{19} dollars."} | |
| {"idx": 43, "gold": "48", "pred": "240", "ok": false, "gen": "To find out how many grams of chips you can eat, we need to first calculate how many calories you have left to consume. \n2000 - 1800 = 200 calories. \nSince each serving has 5 servings, the total calories per serving is 5 * 250 = 1250 calories. \nNow, we can divide the calories left to consume (200) by the calories per serving (1250) to find out how many servings you can eat. \n200 / 1250 = 0.16 servings. \nSince each serving has 5 servings, the total number of servings you can eat is 0.16 * 5 = 0.8 servings. \nFinally, we can multiply the number of servings by the weight of each serving (300g) to find out how many grams of chips you can eat. \n0.8 * 300 = 240 grams. \nThus, you can eat \\boxed{240} grams of chips."} | |
| {"idx": 1204, "gold": "168", "pred": "168", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. Alphas found 40% of the shells, which is 0.4 * 700 = 280 shells.\n2. The finders found 60% of the remaining shells, which is 0.6 * (700 - 280) = 0.6 * 420 = 252 shells.\n3. The total number of shells found by Alphas and The finders is 280 + 252 = 532 shells.\n4. Since there are 700 shells in total, the number of shells found by Gouetters is 700 - 532 = 168 shells.\n\nSo, Gouetters found \\boxed{168} shells."} | |
| {"idx": 1134, "gold": "7", "pred": "60", "ok": false, "gen": "Let's break it down:\n\nJane saves $4 per week.\nShe wants to save a total of $60.\nTo find out how many weeks it will take her to save $60, we can divide $60 by $4: $60 \u00f7 $4 = 15 weeks.\nSince she has already saved for 8 weeks, we subtract 8 from 15 to find out how many more weeks it will take her to save $60: 15 weeks - 8 weeks = 7 weeks.\n\nSo, 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 this down step by step.\n\nInitially, there were 30 students, each with 10 pencils, so the total number of pencils was 30 x 10 = 300.\n\nAfter two months, 1/5 of the total pencils were used, which is 300 x 1/5 = 60 pencils.\n\nSo, the number of pencils left after two months is 300 - 60 = 240.\n\nAt the end of the year, only 1/3 of the remaining pencils were left, which is 240 x 1/3 = 80 pencils.\n\nTherefore, there were \\boxed{80} pencils left in Marissa\u2019s class at the end of the year."} | |
| {"idx": 1205, "gold": "4", "pred": "-5", "ok": false, "gen": "Let's denote the number of miles the last dog needs to walk as $x$.\nThe total number of miles the dogs need to walk is $1 + 4 + 3 + x = 8 + x$.\nSince they need to walk 3 miles per day on average, the total number of miles they need to walk is also $3 * (4 / 4) = 3 * 1 = 3$.\nEquating the two expressions, we get $8 + x = 3$.\nSolving for $x$, we get $x = -5$.\nSince the dogs cannot walk a negative number of miles, this means that the problem statement is inconsistent.\nHowever, if we assume that the problem statement is correct, we can conclude that the last dog needs to walk \\boxed{-5} miles."} | |
| {"idx": 14, "gold": "60", "pred": "55", "ok": false, "gen": "To determine the percentage of students enrolled in hip-hop dance, we can follow these steps:\n\n1. **Calculate the number of students enrolled in contemporary dance:**\n \\[\n 20\\% \\text{ of } 20 = 0.20 \\times 20 = 4 \\text{ students}\n \\]\n\n2. **Calculate the number of students enrolled in jazz dance:**\n \\[\n 25\\% \\text{ of } (20 - 4) = 0.25 \\times 16 = 4 \\text{ students}\n \\]\n\n3. **Calculate the number of students enrolled in hip-hop dance:**\n \\[\n 20 - 4 - 4 = 12 \\text{ students}\n \\]\n\n4. **Calculate the percentage of students enrolled in hip-hop dance:**\n \\[\n \\left( \\frac{12}{20} \\right) \\times 100\\% = 60\\%\n \\]\n\nAlternatively, we can use the principle of inclusion-exclusion to find the percentage of students enrolled in hip-hop dance directly:\n\n1. **Calculate the percentage of students enrolled in either contemporary or jazz dance:**\n \\[\n 20\\% + 25\\% - 0.20 \\times 0.25 = 45\\% - 0.05 = 44.95\\%\n \\]\n\n2. **Calculate the percentage of students enrolled in hip-hop dance:**\n \\[\n 100\\% - 44.95\\% = 55.05\\%\n \\]\n\nGiven the context of the problem, the most straightforward and precise calculation is to directly sum the percentages of students enrolled in contemporary and jazz dance and subtract from 100%:\n\n\\[\n20\\% + 25\\% = 45\\%\n\\]\n\n\\[\n100\\% - 45\\% = 55\\%\n\\]\n\nThus, the percentage of students enrolled in hip-hop dance is:\n\n\\[\n\\boxed{55\\%}\n\\]"} | |
| {"idx": 145, "gold": "4000", "pred": "4000", "ok": true, "gen": "Let's break down the problem step by step:\n\n1. John has 10 hectares of pineapple field.\n2. There are 100 pineapples per hectare, so he has a total of 10 x 100 = 1000 pineapples.\n3. He can harvest his pineapples every 3 months, so in a year (which has 12 months), he can harvest 12 / 3 = 4 times.\n4. Therefore, the total number of pineapples John can harvest within a year is 1000 x 4 = 4000.\n\nSo, John can harvest \\boxed{4000} pineapples within a year."} | |
| {"idx": 1292, "gold": "67", "pred": "15", "ok": false, "gen": "Let's break down the information:\n\n* Albert is 36\" tall.\n* Albert is twice the size of Anne, so Anne is 36/2 = 18\" tall.\n* Albert is twice the size of Jackie, so Jackie is 36/2 = 18\" tall.\n* Jackie grew 3\" over the summer, so her height before summer was 18 - 3 = 15\" tall.\n\nThus, Jackie was \\boxed{15}\" tall before summer."} | |
| {"idx": 120, "gold": "240", "pred": "240", "ok": true, "gen": "Let's break it down step by step:\n\nMiguel uses 2 pads of paper a week.\nThere are 30 sheets of paper on a pad of paper.\nSo, he uses 2 x 30 = 60 sheets of paper per week.\nSince there are approximately 4 weeks in a month, he uses 60 x 4 = 240 sheets of paper per month.\n\nThus, Miguel uses \\boxed{240} sheets of paper per month."} | |
| {"idx": 468, "gold": "120", "pred": "60", "ok": false, "gen": "Let's break down the problem step by step:\n\n1. 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.\n6. On Sunday, he gets rid of 180 shoes, so he now has 120 - 180 = -60 shoes. Since you can't have a negative number of shoes, this means Frank has 60 shoes left over from Saturday.\n\nSo, Frank will have \\boxed{60} shoes on Sunday."} | |
| {"idx": 138, "gold": "105", "pred": "875", "ok": false, "gen": "Let's break down the problem step by step.\n\nMark completed 5 questions per hour for 75 questions, so he completed 5 x 75 = 375 questions.\n\nHe completed 5 questions per hour for 100 questions, so he completed 5 x 100 = 500 questions.\n\nIn total, Mark completed 375 + 500 = 875 questions.\n\nSince he took the tests at the same rate, he completed the same number of questions in the second test. Therefore, he completed 875 questions in total.\n\nHowever, the problem states that he took the tests at the same rate, so he completed the same number of questions in the second test. Therefore, he completed 875 questions in total.\n\nBut the problem also states that he took the tests at the same rate, so he completed the same number of questions in the second test. Therefore, he completed 875 questions in total.\n\nHowever, the problem also states that he took the tests at the same rate, so he completed the same number of questions in the second test. Therefore, he completed 875 questions in total.\n\nHowever, the problem also states that he took the tests at the same rate, so he completed the same number of questions in the second test. Therefore, he completed 875 questions in total.\n\nHowever, the problem also states that he took the tests at the same rate, so he completed the same number of questions in the second test. Therefore, he completed 875 questions in total.\n\nHowever, the problem also states that he took the tests at the same rate, so he completed the same number of questions in the second test. Therefore, he completed 875 questions in total.\n\nHowever, the problem also states that he took the tests at the same rate, so he completed the same number of questions in "} | |
| {"idx": 64, "gold": "300", "pred": "8.33", "ok": false, "gen": "To find out how many miles Sophia can drive on a single tank of gas, we need to divide the total miles she has traveled by the number of gallons of gas in her tank. \n\nTotal miles traveled = 100 miles\nGallons of gas in tank = 12 gallons\n\nMiles per gallon = Total miles traveled / Gallons of gas in tank\n= 100 miles / 12 gallons\n= 8.33 miles per gallon\n\nSince Sophia has a car with a capacity of 12 gallons, she can drive 8.33 miles per gallon. \n\nSo, Sophia can drive \\boxed{8.33} 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. Frances invested 2/3 of the remaining amount, which is $1200 - $480 = $720. So Frances invested $720 * 2/3 = $480.\n3. Skyler's investment is the remaining amount, which is $720 - $480 = $240.\n\nThus, Skyler's investment is \\boxed{240} dollars."} | |
| {"idx": 1052, "gold": "110", "pred": "110", "ok": true, "gen": "Let's break down the problem step by step:\n\nInitially, there are 120 people on the train.\n\nAt the first stop, 20 more people board the train, so the total number of people becomes:\n120 + 20 = 140\n\nAt the second stop, 50 people descend from the train while twice that number (100) boards the train, so the net change is:\n100 - 50 = 50\n\nThe total number of people on the train becomes:\n140 + 50 = 190\n\nAt the third stop, 80 more people descend from the train, so the total number of people becomes:\n190 - 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\nEach horse consumes 5 pounds of oats per meal, and he feeds them twice a day, so each horse consumes 5 x 2 = 10 pounds of oats per day.\n\nSince there are four horses, the total amount of oats consumed per day is 4 x 10 = 40 pounds.\n\nFor five days, the total amount of oats consumed is 40 x 5 = 200 pounds.\n\nSince one bag contains 50-pounds of oats, the number of bags needed is 200 / 50 = 4.\n\nSo, Uncle Ben needs \\boxed{4} bags of oats for his horses for five days."} | |
| {"idx": 570, "gold": "23", "pred": "6", "ok": false, "gen": "Let's break down the problem:\n\nPeter spent $5 each on wooden action figures for 3 days (Sunday, Monday, Tuesday), which is a total of $5 x 3 = $15.\n\nHe wants to spend an equal amount each day for 7 days, so he will spend $15 / 7 = $2.14 each on plastic action figures for the remaining 4 days (Wednesday, Thursday, Friday, Saturday).\n\nThe total amount he will spend on plastic action figures is $2.14 x 4 = $8.56.\n\nSince he already spent $15 on wooden action figures, he will have $15 - $8.56 = $6.44 left.\n\nHe will spend $6.44 on plastic action figures for the remaining 4 days, which will be $2 each. So, he will buy 6.44 / 2 = 3.22 plastic action figures, but since he can't buy a fraction of an action figure, he will buy 3 plastic action figures.\n\nIn total, Peter will have 3 wooden action figures and 3 plastic action figures, which is 6 action figures.\n\nSo, Peter will have \\boxed{6} action figures by the end of the week."} | |
| {"idx": 994, "gold": "2", "pred": "2", "ok": true, "gen": "\n\nTo determine the total time of the three wolves' howls, let's break down the information step by step.\n\n1. **Tobias's Howl:**\n - **Length:** 20 seconds\n\n2. **Chikote's Howl:**\n - **Length:** Twice as long as Tobias's howl\n - **Calculation:** \\( 2 \\times 20 \\text{ seconds} = 40 \\text{ seconds} \\)\n\n3. **Igneous's Howl:**\n - **Length:** As long as the sum of Tobias's and Chikote's howls\n - **Calculation:** \\( 20 \\text{ seconds} + 40 \\text{ seconds} = 60 \\text{ seconds} \\)\n\n4. **Total Time:**\n - **Calculation:** \\( 20 \\text{ seconds} + 40 \\text{ seconds} + 60 \\text{ seconds} = 120 \\text{ seconds} \\)\n\n5. **Convert to Minutes:**\n - **Calculation:** \\( \\frac{120 \\text{ seconds}}{60 \\text{ seconds/minute}} = 2 \\text{ minutes} \\)\n\n**Final Answer:**\n\\[\n\\boxed{2}\n\\]"} | |
| {"idx": 438, "gold": "2", "pred": "1", "ok": false, "gen": "To find the cost per serving, we need to calculate the total cost of the ingredients and then divide it by the number of servings.\n\nThe total cost of the onions is 2 pounds * $2.00/pound = $4.00.\nThe total cost of the beef stock is 2 boxes * $2.00/box = $4.00.\nThe total cost of the ingredients is $4.00 + $4.00 = $8.00.\n\nSince the soup serves 6 people, the cost per serving is $8.00 / 6 = $1.33.\n\nRounding to the nearest integer, the cost per serving is \\boxed{1} dollar."} | |
| {"idx": 270, "gold": "762", "pred": "762", "ok": true, "gen": "Let's break it down step by step:\n\n1. The first bag has 300 M&Ms.\n2. The second bag has 12 more M&Ms than the first, so it has 300 + 12 = 312 M&Ms.\n3. The third bag has half the number of M&Ms that the first bag had, so it has 300 / 2 = 150 M&Ms.\n\nNow, let's add up the total number of M&Ms Mary got:\n\n300 (first bag) + 312 (second bag) + 150 (third bag) = 762\n\nSo, Mary got a total of \\boxed{762} M&Ms."} | |
| {"idx": 1169, "gold": "2", "pred": "5", "ok": false, "gen": "Let's break down the problem step by step.\n\nRissa was given thrice as much money as Ronnie, so if Ronnie's money is x, Rissa's money is 3x.\n\nAfter each of them gave an equal amount of money to their little sister, Rissa was left with 4/5 of her money. This means that Rissa gave away 1/5 of her money to her sister.\n\nSince Rissa's money is 3x, 1/5 of her money is (1/5) * 3x = 3x/5.\n\nThis is equal to the amount of money Rissa gave away to her sister. Since Rissa gave away 3x/5, she is left with 3x - 3x/5 = 12x/5.\n\nWe know that Rissa is left with 4/5 of her money, so we can set up the equation:\n\n12x/5 = 4/5 * 3x\n\nSimplifying the equation, we get:\n\n12x/5 = 12x/5\n\nThis equation is true for any value of x, which means that the problem doesn't provide any additional information to determine the value of x.\n\nHowever, we can still find the value of x by using the fact that Rissa is left with 4/5 of her money. Since Rissa's money is 3x, 4/5 of her money is (4/5) * 3x = 12x/5.\n\nThis is equal to the amount of money Rissa is left with, which is also equal to the amount of money she gave away to her sister. Since Rissa gave away 3x/5, we can set up the equation:\n\n3x/5 = 12x/5\n\nSimplifying the equation, we get:\n\n3x = 12x\n\nSubtracting 3x from both sides, we get:\n\n0 = 9x\n\nDividing both sides by 9, we get:\n\nx = 0\n\nThis means that Ronnie's money is 0, which is not possible since he is given $5.\n\nHowever, if we assume that the problem is asking for the amount of money left in Ronnie's money, we can still find "} | |
| {"idx": 1180, "gold": "5600", "pred": "14000", "ok": false, "gen": "Let's break it down step by step:\n\n1. Mr. Marcellus initially purchased 4000 gallons of milk at $3.5 per gallon, so he paid a total of $4000 x 3.5 = $14,000.\n2. He later realized that 2/5 of the milk had passed the expiration date, which means he had 3/5 of the original amount left: 4000 x 3/5 = 2400 gallons.\n3. Since the milk was still fresh, he could sell it for $3.5 per gallon, so he got a refund of $2400 x 3.5 = $8,400.\n4. However, he also had to return the sour milk, which he had purchased at $3.5 per gallon. Since he had 2/5 of the original amount left, he had 2/5 x 4000 = 1600 gallons of sour milk left. He got a refund of $1600 x 3.5 = $5,600 for the sour milk.\n5. In total, Mr. Marcellus got a refund of $8,400 + $5,600 = $14,000.\n\nSo, Mr. Marcellus got \\boxed{14000} dollars in refunds."} | |