id stringlengths 12 17 | source stringclasses 1
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metamathqa_394521 | oumi-ai/MetaMathQA-R1 | Micheal decided to take some piano lessons. One lesson costs $30 and lasts for 1.5 hours. How much will Micheal need to pay for 18 hours of lessons? | [
"Okay, let's see. Michael wants to take piano lessons, and each lesson costs $30 for 1.5 hours. He needs 18 hours in total. Hmm, so I need to figure out how much that will cost.",
"First, maybe I should determine how many lessons he needs to take to reach 18 hours. Since each lesson is 1.5 hours long, I can divid... | Michael wants 18 hours of piano lessons costing $30 per 1.5-hour lesson.
1. **Calculate the number of lessons needed:**
Number of lessons = Total hours ÷ Hours per lesson
= 18 hours ÷ 1.5 hours/lesson
= **12 lessons**
2. **Compute the total cost:**
Total cost = Number of lessons à Cost per les... |
metamathqa_394533 | oumi-ai/MetaMathQA-R1 | There are three machines in a factory. Machine A can put caps on 12 bottles in 1 minute. Machine B can put caps to 2 fewer bottles than Machine A. Machine C can put caps to 5 more bottles than Machine B. How many bottles can those three machines put caps on in 10 minutes? | [
"Okay, let's see. So there's three machines in a factory: A, B, and C. The problem is asking how many bottles they can cap together in 10 minutes. Hmm. I need to figure out the rates of each machine first, right? Then add them up and multiply by 10. Let me break it down step by step.",
"Starting with Machine A. I... | Machine A can put caps on 12 bottles per minute. Machine B, which caps 2 fewer bottles than Machine A, caps \(12 - 2 = 10\) bottles per minute. Machine C, which caps 5 more bottles than Machine B, caps \(10 + 5 = 15\) bottles per minute.
Combined, the three machines cap \(12 + 10 + 15 = 37\) bottles per minute.
Ove... |
metamathqa_394542 | oumi-ai/MetaMathQA-R1 | Alice was able to sell $2500 worth of gadgets. For this month, she expects to receive her monthly basic salary of $x and a 2% commission from these sales. How much is she going to save this month if she usually saves 10% of her total earnings?
If we know the answer to the above question is 29, what is the value of unkn... | [
"Okay, let me try to figure this out. So the problem is about Alice and her earnings. She sold $2500 worth of gadgets and expects her basic salary of $x this month. She also gets a 2% commission on her sales. The question is asking how much she will save this month if she saves 10% of her total earnings. But we alr... | Alice was able to sell $2500 worth of gadgets and expects to receive her monthly basic salary of $x and a 2% commission from these sales. She saves 10% of her total earnings, and the answer is given as 29. We need to find the value of $x$.
First, calculate the commission:
\[
2\% \text{ of } 2500 = 0.02 \times 2500 = 5... |
metamathqa_394545 | oumi-ai/MetaMathQA-R1 | Lucas went to the store with $20 and needed to buy 3 avocados that cost $2 each. How much change does he bring home? | [
"Okay, let's see. Lucas went to the store with $20 and needs to buy 3 avocados that cost $2 each. The question is asking how much change he'll bring home. Alright, so let me break this down step by step.",
"First, I need to figure out how much money Lucas spent on the avocados. He bought 3 avocados, and each cost... | Lucas started with $20. Each avocado costs $2, so 3 avocados cost 3 Ã $2 = $6. Subtracting the total cost from his initial amount: $20 â $6 = **$14**.
**Answer:** Lucas brings home $14 in change. |
metamathqa_394549 | oumi-ai/MetaMathQA-R1 | Kim drinks a 1.5-quart bottle of water. She then drinks a x ounce can of water. She drank 60 ounces of water. What is the value of unknown variable x? | [
"Okay, let's see. The problem says Kim drinks a 1.5-quart bottle of water and then drinks an x ounce can of water. In total, she drank 60 ounces. We need to find the value of x. Hmm, okay. First, I need to make sure all the units are the same. The bottle is in quarts, and the total is in ounces. So quarts need to b... | Kim drinks a 1.5-quart bottle of water and then an \( x \) ounce can of water. The total amount of water she drank is 60 ounces. To find the value of \( x \), we first need to convert quarts to ounces.
1 quart is equal to 32 ounces. Therefore, 1.5 quarts is:
\[
1.5 \text{ quarts} \times 32 \text{ ounces per quart} = 4... |
metamathqa_394585 | oumi-ai/MetaMathQA-R1 | The grade received on a certain teacher's 100-point test varies in direct proportion to the amount of time a student spends preparing for the test. If a student receives 72 points on a test for which she spent 3 hours preparing, She would receive a score of 96 on the next test if she spent X hours preparing. What is th... | [
"Okay, let me try to figure out this problem. Hmm, the grade on the test varies in direct proportion to the time spent preparing. So that means if you study more hours, your grade goes up proportionally, right? And if you study less, your grade goes down. Direct proportion means like the ratio of grade to study tim... | The grade received on the test varies in direct proportion to the amount of time spent preparing. This relationship can be expressed as \( \text{Grade} = k \times \text{Time} \), where \( k \) is the constant of proportionality.
Given that a student received 72 points for 3 hours of preparation, we can find \( k \) as... |
metamathqa_394587 | oumi-ai/MetaMathQA-R1 | If Steve found 100 gold bars while visiting Oregon and wants to distribute them evenly among his 4 friends, but lost 20 gold bars on the way back to San Diego, how many gold bars will each of his 4 friends receive when he returns? | [
"Alright, let me try to figure out this problem. So Steve found 100 gold bars in Oregon, right? He wants to split them evenly among his 4 friends. But then he lost 20 gold bars on the way back to San Diego. I need to find out how many gold bars each friend will get after that loss.",
"Okay, first, let's start wit... | Steve initially found 100 gold bars. After losing 20 on the way back, he has **80 gold bars left**. To distribute these evenly among his 4 friends:
\[
\frac{80 \text{ gold bars}}{4 \text{ friends}} = 20 \text{ gold bars per friend}
\]
**Answer:** Each friend will receive **20 gold bars**. |
metamathqa_394590 | oumi-ai/MetaMathQA-R1 | Maria found a store that sells handmade sweaters for $30 and a handmade scarf for $20. She wants to buy one for everyone in her family. She will buy 6 sweaters and 6 scarves. If she has saved $500, how much will be left in her savings after buying all these? | [
"Okay, let's see. Maria wants to buy some sweaters and scarves for her family. Each sweater is $30 and each scarf is $20. She wants to buy 6 of each. I need to figure out how much she'll spend in total and then subtract that from her $500 savings to find out how much she'll have left.",
"Alright, first, maybe I s... | Maria plans to buy 6 sweaters at $30 each and 6 scarves at $20 each. Here's the breakdown:
**Sweaters Cost:**
6 sweaters à $30 = $180
**Scarves Cost:**
6 scarves à $20 = $120
**Total Spending:**
$180 (sweaters) + $120 (scarves) = **$300**
**Remaining Savings:**
$500 (savings) - $300 (total cost) = *... |
metamathqa_394596 | oumi-ai/MetaMathQA-R1 | Armand is playing a guessing game with his dad where he has to guess a number his dad is thinking of. His dad tells him that the number, when multiplied by x, is three less than twice 51. What is the number?
If we know the answer to the above question is 33, what is the value of unknown variable x? | [
"Alright, let's tackle this problem step by step. So, Armand has to guess a number that his dad is thinking of. The clue given is that the number, when multiplied by x, is three less than twice 51. And we also know that the answer to the question (which I assume is the number Armand is trying to guess) is 33. The t... | Given that the number Armand needs to guess, when multiplied by \( x \), is three less than twice 51, we start with the equation:
\[
\text{Number} \times x = (2 \times 51) - 3
\]
We know the number is 33. Substituting this into the equation, we get:
\[
33 \times x = (2 \times 51) - 3
\]
Calculating the right-hand s... |
metamathqa_394600 | oumi-ai/MetaMathQA-R1 | A chocolate cake needs 3 eggs per cake. Cheesecake requires 8 eggs for each cheesecake. How many more eggs are needed for 9 cheesecakes than are needed for 5 chocolate cakes? | [
"First, I need to calculate the total number of eggs required for both the chocolate cakes and the cheesecakes.",
"Starting with the chocolate cakes, each cake needs 3 eggs. For 5 chocolate cakes, the total number of eggs required will be 5 multiplied by 3, which equals 15 eggs.",
"Next, for the cheesecakes, ea... | **Solution:**
1. **Calculate the number of eggs needed for 5 chocolate cakes:**
\[
5 \text{ cakes} \times 3 \text{ eggs/cake} = 15 \text{ eggs}
\]
2. **Calculate the number of eggs needed for 9 cheesecakes:**
\[
9 \text{ cheesecakes} \times 8 \text{ eggs/cheesecake} = 72 \text{ eggs}
\]
3. **Find the difference in e... |
metamathqa_394603 | oumi-ai/MetaMathQA-R1 | Maryann spends seven times as long doing accounting as calling clients. If she worked 560 minutes today, how many minutes did she spend calling clients? | [
"Okay, so Maryann works for 560 minutes today, and the problem says she spends seven times as long doing accounting as calling clients. I need to find out how many minutes she spent calling clients. Hmm, let me think. First, it's probably a ratio problem. She does two things: accounting and calling clients. The amo... | Let \( C \) be the number of minutes Maryann spends calling clients. According to the problem, she spends seven times as long doing accounting, which would be \( 7C \) minutes. The total time she worked today is 560 minutes. Therefore, we can set up the following equation:
\[
C + 7C = 560
\]
Combining like terms, we ... |
metamathqa_394606 | oumi-ai/MetaMathQA-R1 | Crackers contain 15 calories each and cookies contain 50 calories each. If Jimmy eats x cookies, He needs to eat 10 crackers to have consumed a total of 500 calories. What is the value of unknown variable x? | [
"Okay, so Jimmy eats some cookies and crackers, and we need to figure out how many cookies he ate, right? Let's break down the problem step by step.",
"First, the problem says each cracker has 15 calories and each cookie has 50 calories. If Jimmy eats x number of cookies, then he needs to eat 10 crackers to reach... | Jimmy eats \( x \) cookies and 10 crackers, consuming a total of 500 calories. Each cookie has 50 calories and each cracker has 15 calories. We need to find \( x \).
The total calories from the cookies are \( 50x \) and the total calories from the crackers are \( 15 \times 10 \). The equation for the total calories is... |
metamathqa_394610 | oumi-ai/MetaMathQA-R1 | If Jason has two tattoos on each arm and three tattoos on each leg, and Adam has three more than twice as many tattoos as Jason, what is the total number of tattoos that Adam has? | [
"First, I need to determine the total number of tattoos Jason has. According to the problem, Jason has two tattoos on each arm and three tattoos on each leg. Assuming Jason has two arms and two legs, the calculation is as follows:",
"Tattoos on arms: 2 arms à 2 tattoos per arm = 4 tattoos.",
"Tattoos on legs: ... | Let's determine the total number of tattoos Adam has step by step.
**Step 1: Calculate Jason's tattoos**
- **Tattoos on arms:** 2 tattoos per arm à 2 arms = 4 tattoos
- **Tattoos on legs:** 3 tattoos per leg à 2 legs = 6 tattoos
- **Total for Jason:** 4 + 6 = **10 tattoos**
**Step 2: Determine Adam's tattoos**
- Ad... |
metamathqa_394611 | oumi-ai/MetaMathQA-R1 | If Maria initially had $760 and she spent $300 on a ticket and half of that on a hotel, how much money does she have left? | [
"Okay, let me try to figure out how much money Maria has left after her purchases. So, the problem says she started with $760. First, she spent $300 on a ticket. Then she spent half of that amount on a hotel. Hmm, half of the ticket price, right? So first, subtract the ticket cost from her initial amount.",
"Star... | Maria started with $760. She spent $300 on a ticket, leaving her with $760 - $300 = $460. Next, she spent half of the ticket price ($300 ÷ 2 = $150) on a hotel. Subtracting the hotel cost, she has $460 - $150 = $310 remaining.
**Answer:** $\boxed{310}$ |
metamathqa_394622 | oumi-ai/MetaMathQA-R1 | The batting cage sells golf balls by the dozen. They charge $30 for 3 dozen. Dan buys 5 dozen, Gus buys 2 dozen, and Chris buys 48 golf balls. How many golf balls do they purchase in total, assuming 12 golf balls are 1 dozen? | [
"Alright, so here's this problem about the batting cage selling golf balls by the dozen. Let me see if I can figure this out. Okay, the batting cage charges $30 for 3 dozen. Hmm, but the question isn't asking about the cost, it's asking about the total number of golf balls they purchase. So maybe the price part is ... | Dan buys 5 dozen (5 Ã 12 = 60 golf balls), Gus buys 2 dozen (2 Ã 12 = 24 golf balls), and Chris buys 48 golf balls.
Adding these together: 60 + 24 + 48 = 132 golf balls.
**Answer:** They purchase a total of \boxed{132} golf balls. |
metamathqa_394630 | oumi-ai/MetaMathQA-R1 | Julio goes fishing and can catch 7 fish every hour. By the 9th hour, how many fish does Julio have if he loses 15 fish in the process? | [
"Alright, let's tackle this problem. So, Julio goes fishing and catches 7 fish every hour. We need to figure out how many fish he has by the 9th hour, but we also know he loses 15 fish in the process. Hmm, okay, let me break this down step by step.",
"First, we need to determine how many fish Julio catches over t... | Julio catches 7 fish every hour for 9 hours.
Total caught:
\[ 7 \, \text{fish/hour} \times 9 \, \text{hours} = 63 \, \text{fish} \]
He loses 15 fish in the process:
\[ 63 \, \text{fish} - 15 \, \text{fish} = 48 \, \text{fish} \]
**Answer:** Julio has \(\boxed{48}\) fish. |
metamathqa_394635 | oumi-ai/MetaMathQA-R1 | If Claire will be 20 years old in two years and Jessica is currently six years older than Claire, what is Jessica's current age? | [
"Okay, so I need to figure out Jessica's current age. Let's see, the problem says that Claire will be 20 years old in two years. That means right now, Claire is younger than 20. Hmm, how much younger? Well, in two years, she'll be 20, so right now, subtract two years from 20. Let me write that down.",
"Claire's a... | Claire will be 20 years old in two years. To find her current age, we subtract 2 years from 20:
\[
\text{Current age of Claire} = 20 - 2 = 18
\]
Jessica is currently six years older than Claire. Therefore, we add 6 years to Claire's current age:
\[
\text{Current age of Jessica} = 18 + 6 = 24
\]
\[
\boxed{24}
\] |
metamathqa_394645 | oumi-ai/MetaMathQA-R1 | If a bag of jellybeans contains 8 black beans and 2 more green beans, and 1 less orange bean than green beans, what is the total number of jellybeans in the bag? | [
"Okay, let me try to figure out the total number of jellybeans in the bag. So, the problem says there are 8 black beans. Then, there are 2 more green beans than black beans. Hmm, so green beans would be 8 plus 2, which is 10. Let me write that down: Black = 8, Green = Black + 2 = 8 + 2 = 10.",
"Next, it mentions ... | The bag contains 8 black jellybeans. There are 2 more green jellybeans than black ones, so the number of green jellybeans is calculated as:
\[
8 + 2 = 10
\]
There is 1 less orange jellybean than green ones, so the number of orange jellybeans is:
\[
10 - 1 = 9
\]
To find the total number of jellybeans, we add the number... |
metamathqa_394647 | oumi-ai/MetaMathQA-R1 | Lulu has $65 in her piggy bank. She spent $5 on ice cream. She then spent half of the remainder of the money on a t-shirt. Afterwards, she went to the bank and deposited a fifth of her remaining money. How much cash was Lulu left with? | [
"Okay, let's try to figure this problem out step by step. Lulu starts with $65 in her piggy bank. First, she spends $5 on ice cream. So I need to subtract $5 from $65. Let me write that down:",
"65 - 5 = 60.",
"So after buying ice cream, she has $60 left.",
"Next, she spends half of the remainder on a t-shirt... | Lulu starts with $65 in her piggy bank.
1. She spends $5 on ice cream:
\[
65 - 5 = 60
\]
Remaining money: $60.
2. She spends half of the remaining $60 on a t-shirt:
\[
60 \div 2 = 30
\]
Remaining money: $30.
3. She deposits a fifth of the remaining $30 into the bank:
\[
30 \div 5 = 6
... |
metamathqa_394648 | oumi-ai/MetaMathQA-R1 | Rory has 30 more jellybeans than her sister Gigi who has 15 jellybeans. Lorelai has already eaten three times the number of jellybeans that both girls have. How many jellybeans has Lorelai eaten? | [
"Alright, let me try to figure this out. So, the problem is about Rory, Gigi, and Lorelai and jellybeans. Let me parse it step by step.",
"First, Rory has 30 more jellybeans than her sister Gigi, who has 15 jellybeans. So, if Gigi has 15, then Rory has 15 + 30. Right? That makes sense. So, Rory would have 15 + 30... | Rory has 30 more jellybeans than her sister Gigi, who has 15 jellybeans. Therefore, Rory has:
\[ 15 + 30 = 45 \text{ jellybeans} \]
Combined, Rory and Gigi have:
\[ 45 + 15 = 60 \text{ jellybeans} \]
Lorelai has eaten three times the number of jellybeans that both girls have. Thus, Lorelai has eaten:
\[ 3 \times 60 =... |
metamathqa_394654 | oumi-ai/MetaMathQA-R1 | Every day Janet spends 8 minutes looking for her keys and another 3 minutes complaining after she finds them. If Janet stops losing her keys, how many minutes will she save every week? | [
"Okay, so Janet spends time every day looking for her keys and then complaining after she finds them. The problem wants to know how much time she'll save each week if she stops losing her keys. Alright, let's break this down step by step.",
"First, the problem states that every day Janet spends 8 minutes looking ... | Janet spends 8 minutes each day looking for her keys and an additional 3 minutes complaining after she finds them. If she stops losing her keys, she will save both the time spent searching and the time spent complaining each day.
First, we calculate the total daily time saved:
\[
8 \text{ minutes (searching)} + 3 \te... |
metamathqa_394655 | oumi-ai/MetaMathQA-R1 | A school choir needs robes for each of its 30 singers. Currently, the school has only 12 robes so they decided to buy the rest. If each robe costs $2, how much will the school spend? | [
"Okay, let's tackle this problem step by step. So, the school choir has 30 singers, and they need a robe for each one. Right now, they've got 12 robes already. They need to buy the rest. Each robe costs $2, so the question is, how much will the school spend?",
"First off, I need to figure out how many more robes ... | The school choir requires 30 robes and currently has 12. They need to purchase \(30 - 12 = 18\) additional robes. Each robe costs $2, so the total cost is \(18 \times 2 = \$36\).
**Answer:** The school will spend \$36. |
metamathqa_394666 | oumi-ai/MetaMathQA-R1 | John buys 3 dress shirts. They sell for $20 each. He also has to pay 10% tax on everything. How much did he pay in total? | [
"Okay, so John buys 3 dress shirts, each costing $20. Let me figure out the total cost here. First, I need to calculate the cost of the shirts before tax. If each shirt is $20 and he buys 3, then it's 20 multiplied by 3. Let me do that: 20 * 3 = 60. So the shirts cost $60 in total before tax.",
"Now, there's a 10... | John buys 3 dress shirts priced at $20 each.
**Step 1: Calculate the cost before tax.**
\[
3 \text{ shirts} \times \$20/\text{shirt} = \$60
\]
**Step 2: Calculate the 10% tax.**
\[
\$60 \times 10\% = \$60 \times 0.10 = \$6
\]
**Step 3: Add tax to the total cost.**
\[
\$60 + \$6 = \$66
\]
**Answer:** John paid a to... |
metamathqa_394677 | oumi-ai/MetaMathQA-R1 | Jean is trying to motivate herself to write her final paper. She eats one donut per 2 pages that she writes. If she writes 12 pages and each donut has x calories, how many calories does she eat?
If we know the answer to the above question is 900, what is the value of unknown variable x? | [
"Okay, let me try to figure out this problem. So, Jean eats one donut for every 2 pages she writes. She wrote 12 pages, and each donut has x calories. They want to know how many calories she ate, and then given that the answer is 900, find x.",
"First, let's break down the problem step by step. The key informatio... | Jean eats one donut for every 2 pages she writes. If she writes 12 pages, the number of donuts she eats is calculated by dividing the total number of pages by the pages per donut:
\[
\frac{12 \text{ pages}}{2 \text{ pages per donut}} = 6 \text{ donuts}
\]
Each donut has \( x \) calories, so the total calories consume... |
metamathqa_394678 | oumi-ai/MetaMathQA-R1 | Mr. Smith has incurred a 2% finance charge because he was not able to pay on time for his balance worth $150. If he plans to settle his balance today, how much will Mr. Smith pay? | [
"Okay, let's see. Mr. Smith has a balance of $150, and he incurred a 2% finance charge because he didn't pay on time. Now he wants to settle it today, so I need to figure out how much he has to pay in total.",
"First, the finance charge is 2% of his balance. So, I think that means he has to pay an extra 2% on top... | Mr. Smith has a balance of $150 and incurred a 2% finance charge for not paying on time. To calculate the finance charge, we find 2% of $150:
\[
150 \times 0.02 = 3
\]
Adding this finance charge to the original balance gives the total amount to be paid:
\[
150 + 3 = 153
\]
Thus, the total amount Mr. Smith will pay ... |
metamathqa_394682 | oumi-ai/MetaMathQA-R1 | If Adam initially had 12 cows and twice as many sheep as cows, and then decided to buy 3 pigs for every sheep he had, what is the total number of animals on the farm after the transaction? | [
"Okay, let me try to figure out this problem. So, Adam initially has 12 cows. The problem says he has twice as many sheep as cows. Hmm, so if there are 12 cows, then the number of sheep must be 2 times 12. Let me write that down: Sheep = 2 * Cows. So that's 2*12, which equals 24 sheep. Got that.",
"Now, he decide... | Adam initially had 12 cows. Since he had twice as many sheep as cows, the number of sheep is calculated as:
\[
2 \times 12 = 24
\]
Adam then bought 3 pigs for every sheep he had. Therefore, the number of pigs bought is:
\[
3 \times 24 = 72
\]
The total number of animals on the farm after the transaction is the sum of... |
metamathqa_394683 | oumi-ai/MetaMathQA-R1 | If $x^2 = y - 3$ and $x = -5$, then what is the value of $y$? | [
"Okay, so I need to find the value of y when x squared equals y minus 3, and x is given as -5. Hmm, let me think.",
"First, the problem gives me two equations: x² = y - 3 and x = -5. Since they're telling me that x is -5, I can plug that value into the first equation to find y. That makes sense, right? If I know... | Given the equations \( x^2 = y - 3 \) and \( x = -5 \), we need to find the value of \( y \).
1. Substitute \( x = -5 \) into the first equation:
\[
(-5)^2 = y - 3
\]
2. Calculate \( (-5)^2 \):
\[
25 = y - 3
\]
3. Solve for \( y \) by adding 3 to both sides:
\[
25 + 3 = y
\]
\[
28 = y
... |
metamathqa_394684 | oumi-ai/MetaMathQA-R1 | A plane flies between 4 cities; A, B, C and D. Passengers board and alight at each airport in every city when it departs and lands, respectively. The distance between city A and city B is 100 miles. The distance between city B and city C is 50 miles more than the distance between city A and city B. The distance betw... | [
"Okay, so we have this problem here where a plane flies between four cities: A, B, C, and D. Passengers get on and off at each airport whenever the plane lands and takes off. But the main question is about calculating the total distance from city A to city D. Let's see⦠The information given is about the distance... | The distance between city A and city B is 100 miles. The distance between city B and city C is 50 miles more than the distance between city A and city B, which is \(100 + 50 = 150\) miles. The distance between city C and city D is twice the distance between city B and city C, which is \(2 \times 150 = 300\) miles.
To ... |
metamathqa_394689 | oumi-ai/MetaMathQA-R1 | A family had 10 eggs, but the mother used 5 of them to make an omelet. Then, x chickens laid 3 eggs each. How many eggs does the family have now?
If we know the answer to the above question is 11, what is the value of unknown variable x? | [
"Okay, let's try to solve this problem. So, the family originally had 10 eggs. Then the mother used 5 to make an omelet. So, that means they have 10 minus 5 eggs left. Let me write that down to be clear.",
"Starting eggs: 10\nUsed for omelet: 5\nRemaining after omelet: 10 - 5 = 5 eggs.",
"Then, it says x chicke... | The family initially had 10 eggs. After the mother used 5 eggs to make an omelet, the remaining number of eggs is:
\[ 10 - 5 = 5 \]
Next, \( x \) chickens each laid 3 eggs, contributing a total of \( 3x \) eggs. The total number of eggs the family now has is given by the equation:
\[ 5 + 3x = 11 \]
To find the valu... |
metamathqa_394695 | oumi-ai/MetaMathQA-R1 | Adam has $15$ of a certain type of rare coin and is interested in knowing how much this collection is worth. He discovers that $5$ of these coins are worth $12$ dollars in total. Assuming that the value of each coin is the same, how many dollars is his entire collection worth? | [
"Okay, let's see. Adam has 15 rare coins, and he wants to know the total value. He found out that 5 of these coins are worth $12 altogether. And we have to assume each coin has the same value. Hmm, so all coins are worth the same amount, right? So we just need to find the value per coin and multiply that by the tot... | Adam has 15 rare coins and wants to know their total value. Given that 5 coins are worth $12 in total, we can find the value per coin by dividing the total value by the number of coins:
\[
\frac{12 \text{ dollars}}{5 \text{ coins}} = 2.4 \text{ dollars per coin}
\]
Next, we calculate the total value of 15 coins by mu... |
metamathqa_394700 | oumi-ai/MetaMathQA-R1 | Find the domain of the function $z(x) = \sqrt[3]{x - 1} + \sqrt[3]{8 - x}.$ | [
"Okay, so I need to find the domain of the function z(x) which is given by the cube root of (x - 1) plus the cube root of (8 - x). Hmm, let me start by recalling what the domain of a function means. The domain is all the real numbers x for which the function z(x) is defined.",
"Now, since this function involves c... | To find the domain of the function \( z(x) = \sqrt[3]{x - 1} + \sqrt[3]{8 - x} \), we need to determine the values of \( x \) for which the function is defined.
Cube roots, unlike square roots, are defined for all real numbers. This means that both \( \sqrt[3]{x - 1} \) and \( \sqrt[3]{8 - x} \) are defined for any r... |
metamathqa_394702 | oumi-ai/MetaMathQA-R1 | June liked to collect cat stickers. She had a total of 76 in her collection. Her twin sister Bonnie also collected cat stickers and had 63 in her collection. For their birthday, their grandparents gave them 25 cat stickers each. How many combined stickers did they have? | [
"First, I need to determine the number of cat stickers that June and Bonnie each had before receiving the birthday gifts from their grandparents.",
"June initially had 76 stickers, and Bonnie had 63 stickers.",
"Their grandparents gave each of them 25 stickers as birthday gifts. Since there are two sisters, Jun... | Let's break down the problem step by step:
1. **Initial Stickers:**
- **June:** 76 stickers
- **Bonnie:** 63 stickers
- **Combined:** \(76 + 63 = 139\) stickers
2. **Stickers Received as Gifts:**
- **Each received:** 25 stickers
- **Total for both:** \(25 \times 2 = 50\) stickers
3. **Total Combined S... |
metamathqa_394704 | oumi-ai/MetaMathQA-R1 | If Beth has already read 2 chapters of a book with 8 chapters in a span of 3 hours, how many more hours will it take her to finish reading the remaining chapters if she continues at the same rate? | [
"Okay, so Beth has read 2 chapters in 3 hours, and the book has 8 chapters total. The question is asking how many more hours she needs to finish the remaining chapters if she keeps reading at the same rate. Let me break this down step by step.",
"First, let me figure out her reading rate. If she read 2 chapters i... | Beth has read 2 chapters in 3 hours, which gives her a reading rate. To determine her rate, we can calculate the time per chapter or chapters per hour:
1. **Rate in chapters per hour**:
\[
\text{Rate} = \frac{2 \text{ chapters}}{3 \text{ hours}} = \frac{2}{3} \text{ chapters per hour}
\]
2. **Time per chapt... |
metamathqa_394707 | oumi-ai/MetaMathQA-R1 | Last week, Eduardo taught 3 classes while his colleague Frankie taught twice as many. What is the total number of classes taught by Eduardo and Frankie combined? | [
"Okay, so the problem here is about Eduardo and Frankie teaching classes. Eduardo taught 3 classes last week, and Frankie taught twice as many. We need to find the total number of classes they taught combined. Let's break this down step by step.",
"First, let's start with Eduardo. It says he taught 3 classes. Tha... | Eduardo taught 3 classes. Frankie taught twice as many, which is \( 3 \times 2 = 6 \) classes. Combining their classes: \( 3 + 6 = 9 \).
**Answer:** \(\boxed{9}\) |
metamathqa_394709 | oumi-ai/MetaMathQA-R1 | If Phillip takes a math test with 40 questions and gets 75% of them right, and an English test with 50 questions and gets 98% of them right, what is the total number of questions he gets right? | [
"Okay, let me see. So Phillip takes two tests: one math test with 40 questions and he gets 75% right, and an English test with 50 questions where he gets 98% right. I need to find the total number of questions he got right in both tests combined. Hmm, okay.",
"First, maybe I should tackle each test separately and... | Phillip takes a math test with 40 questions and gets 75% of them right. To find the number of correct answers, we calculate 75% of 40:
\[
0.75 \times 40 = 30
\]
He takes an English test with 50 questions and gets 98% of them right. To find the number of correct answers, we calculate 98% of 50:
\[
0.98 \times 50 = 49... |
metamathqa_394715 | oumi-ai/MetaMathQA-R1 | Hansel makes $30,000 a year and just received a 10% raise. Gretel makes the same amount as Hansel but received a 15% raise. How much more money will Gretel make compared to Hansel? | [
"First, I know that both Hansel and Gretel initially earn $30,000 per year.",
"Hansel received a 10% raise. To calculate his new salary, I'll find 10% of $30,000:\n10% of $30,000 = 0.10 Ã 30,000 = $3,000\nSo, Hansel's new salary is $30,000 + $3,000 = $33,000 per year.",
"Gretel received a larger raise of 15%. ... | **Solution:**
1. **Hansel's Salary After Raise:**
- Original Salary: \$30,000
- Raise: 10% of \$30,000 = \$3,000
- New Salary: \$30,000 + \$3,000 = **\$33,000**
2. **Gretel's Salary After Raise:**
- Original Salary: \$30,000
- Raise: 15% of \$30,000 = \$4,500
- New Salary: \$30,000 + \$4,500 = **\$3... |
metamathqa_394723 | oumi-ai/MetaMathQA-R1 | Jackson is buying chairs for his restaurant. He has x tables with 4 seats and 12 tables with 6 seats. Jackson needs to buy 96 chairs total. What is the value of unknown variable x? | [
"Okay, let me try to figure out how to solve this problem. Jackson is buying chairs for his restaurant. He has x tables with 4 seats and 12 tables with 6 seats. He needs a total of 96 chairs. I need to find the value of x.",
"Hmm, so the problem is about calculating the total number of chairs needed based on the ... | Jackson has \( x \) tables with 4 seats and 12 tables with 6 seats. He needs a total of 96 chairs. To find the value of \( x \), we set up the following equation:
The total number of chairs from the 4-seat tables is \( 4x \).
The total number of chairs from the 6-seat tables is \( 12 \times 6 = 72 \).
The equation co... |
metamathqa_394728 | oumi-ai/MetaMathQA-R1 | If Bert sold 8 toy phones for $18 each and Tory sold 7 toy guns for $20 each, what is the difference in earnings between Bert and Tory? | [
"Okay, let's see. The question is asking for the difference in earnings between Bert and Tory after they sold some toys. Hmm. So Bert sold 8 toy phones, each for $18, and Tory sold 7 toy guns, each for $20. Got it.",
"First, I need to calculate how much money Bert made. He sold 8 phones at $18 each. So I think I ... | Bert earned \(8 \times \$18 = \$144\).
Tory earned \(7 \times \$20 = \$140\).
The difference is \(\$144 - \$140 = \$4\).
**Answer:** The difference in earnings is **\$4**. |
metamathqa_394731 | oumi-ai/MetaMathQA-R1 | After losing 2 books during the move, how many pages worth of books does Phil have left if he initially had 10 books, all of which are 100 pages each? | [
"Let's break down the problem step by step.",
"**Step 1: Determine the initial total number of pages in Phil's collection.**\nPhil originally had 10 books, and each book has 100 pages.\nTotal pages = Number of books à Pages per book\nTotal pages = 10 à 100 = 1,000 pages",
"**Step 2: Calculate the total number... | **Solution:**
1. **Initial Total Pages:**
\[
10 \text{ books} \times 100 \text{ pages/book} = 1,\!000 \text{ pages}
\]
2. **Pages Lost:**
\[
2 \text{ books} \times 100 \text{ pages/book} = 200 \text{ pages}
\]
3. **Remaining Pages:**
\[
1,\!000 \text{ pages} - 200 \text{ pages} = 800 \text{ p... |
metamathqa_394737 | oumi-ai/MetaMathQA-R1 | I have a bag with only red, blue, and green marbles. The ratio of red marbles to blue marbles to green marbles is $1:5:3$. There are X green marbles in the bag. How many marbles are there in the bag?
If we know the answer to the above question is 81, what is the value of unknown variable X? | [
"Okay, so I need to figure out how many green marbles there are, given that the total number of marbles is 81 and the ratio of red to blue to green marbles is 1:5:3. Hmm, let's break this down step by step.",
"First, ratios can sometimes be tricky, but they essentially represent parts of the whole. In this case, ... | Given the ratio of red to blue to green marbles is \(1:5:3\), we know the total number of parts in the ratio is \(1 + 5 + 3 = 9\). The total number of marbles in the bag is 81, which corresponds to 9 parts.
To find the value of each part, we divide the total number of marbles by the total number of parts:
\[
\frac{81... |
metamathqa_394748 | oumi-ai/MetaMathQA-R1 | Peter bought 4 new notebooks for school. 2 of them are green, one is black and the other one is pink. The total cost was $45. If the black notebook cost $15, and the pink one cost $10, how much did the green notebooks cost each? | [
"Okay, let's see. Peter bought 4 notebooks for school. The colors are 2 green, 1 black, and 1 pink. The total cost was $45. The black notebook costs $15, and the pink one is $10. We need to find out how much each green notebook costs.",
"First, maybe I should figure out the total cost of the black and pink notebo... | Peter bought 4 notebooks: 2 green, 1 black ($15), and 1 pink ($10). The total cost was $45.
**Step 1:** Calculate the total cost of the black and pink notebooks:
\[
\$15 + \$10 = \$25
\]
**Step 2:** Subtract this from the total to find the cost of the green notebooks:
\[
\$45 - \$25 = \$20
\]
**Step 3:** Divide by ... |
metamathqa_394749 | oumi-ai/MetaMathQA-R1 | If there were initially 100 jelly beans in a bag to be distributed on Halloween and 80% of the 40 participating children were allowed to draw two jelly beans each, how many jelly beans are left in the bag after the children took their share? | [
"Okay, so I need to figure out how many jelly beans are left after the kids take their share. Let me break down the problem step by step.",
"First, the initial number of jelly beans is 100. Got that. Now, there are 40 participating children. But it says 80% of these 40 children were allowed to draw two jelly bean... | Initially, there are 100 jelly beans in the bag. We need to determine how many jelly beans are left after 80% of the 40 participating children each take 2 jelly beans.
1. Calculate 80% of 40 children:
\[
0.8 \times 40 = 32 \text{ children}
\]
2. Calculate the total number of jelly beans taken by these 32 chi... |
metamathqa_394752 | oumi-ai/MetaMathQA-R1 | Aunt Angela has 70 jellybeans in a jar. She wants to divide them equally and give them to her 3 nephews and 2 nieces. How many jellybeans did each nephew or niece receive? | [
"Okay, so Aunt Angela has 70 jellybeans, and she wants to divide them equally among her 3 nephews and 2 nieces. Let me figure out how each kid gets.",
"First, total number of kids is 3 nephews plus 2 nieces. That's 3 + 2 = 5 kids. So, she needs to divide 70 jellybeans by 5.",
"Wait, division. Let's do 70 divide... | Aunt Angela needs to divide 70 jellybeans equally among her 3 nephews and 2 nieces.
1. **Total number of kids:** 3 nephews + 2 nieces = 5 kids.
2. **Divide jellybeans:** \( 70 \div 5 = 14 \).
**Answer:** Each nephew and niece receives **14 jellybeans**. |
metamathqa_394755 | oumi-ai/MetaMathQA-R1 | If a desert garden's sprinkler system runs twice a day, watering the garden with four liters of water in the morning and six liters in the evening, how many days will it take for the sprinkler system to use a total of 50 liters of water? | [
"Okay, let's see... The problem is about a desert garden's sprinkler system that waters the garden twice a dayâonce in the morning with four liters of water and once in the evening with six liters. The question is asking how many days it will take for the sprinkler system to use a total of 50 liters of water.",
... | The desert garden's sprinkler system uses 4 liters of water in the morning and 6 liters in the evening each day. To determine the total daily water usage, we add these two amounts together:
\[
4 \, \text{liters (morning)} + 6 \, \text{liters (evening)} = 10 \, \text{liters per day}
\]
Next, we need to find out how ma... |
metamathqa_394766 | oumi-ai/MetaMathQA-R1 | If it takes Alice 25 minutes to clean her room, how many minutes does it take Bob, who takes $\frac{2}{5}$ times as long as Alice, to clean his room? | [
"Okay, so Alice takes 25 minutes to clean her room, and Bob takes 2/5 times as long as Alice. Hmm, wait. The problem is asking how many minutes it takes Bob to clean his room. If Bob takes less time than Alice, right? Because if it's 2/5 times as long, then Bob is faster. Wait, let me think again.",
"Wait, the wa... | Alice takes 25 minutes to clean her room. Bob takes \(\frac{2}{5}\) times as long as Alice. To find Bob's time, we multiply Alice's time by \(\frac{2}{5}\):
\[
\frac{2}{5} \times 25 = \frac{2 \times 25}{5} = \frac{50}{5} = 10
\]
Thus, it takes Bob \(\boxed{10}\) minutes to clean his room. |
metamathqa_394770 | oumi-ai/MetaMathQA-R1 | John buys a pair of earbuds that cost x. If tax was 15%, how much did he pay after tax?
If we know the answer to the above question is 230, what is the value of unknown variable x? | [
"Okay, so the problem says John buys a pair of earbuds that cost x dollars. The tax is 15%, and after adding the tax, he paid 230 dollars. We need to find the original price x before tax.",
"Hmm, let's start by understanding the first part: if the earbuds cost x and tax is 15%, how much does he pay after tax? Wel... | John buys a pair of earbuds that cost \( x \) dollars. The tax rate is 15%, so the total amount paid after tax is 1.15 times the original price. Given that the total amount paid is 230 dollars, we set up the equation:
\[
1.15x = 230
\]
To find \( x \), we divide both sides of the equation by 1.15:
\[
x = \frac{230}{... |
metamathqa_394774 | oumi-ai/MetaMathQA-R1 | What is the total amount that Gina will have to spend on college this year, considering she is taking 14 credits costing $450 each, has to pay $120 for each of her 5 textbooks, and has a $200 facilities fee? | [
"Okay, let's see. Gina has to figure out her total college expenses for the year. Alright, let me break it down step by step. So first off, she's taking 14 credits, and each credit costs $450. Then there are her textbooksâshe has 5 of them, each costing $120. Plus, there's a facilities fee of $200. Hmm, I need to... | Gina's total college expenses for the year can be calculated as follows:
1. **Tuition Cost**:
14 credits à $450/credit = $6,300
2. **Textbook Cost**:
5 textbooks à $120/textbook = $600
3. **Facilities Fee**:
$200 (flat fee)
**Total Cost** = Tuition + Textbooks + Facilities Fee
= $6,300 + $6... |
metamathqa_394792 | oumi-ai/MetaMathQA-R1 | Liz bought a recipe book that cost $6, a baking dish that cost twice as much, five ingredients that cost $3 each, and an apron that cost a dollar more than the recipe book. Collectively, how much in dollars did Liz spend? | [
"Alright, let me see. Liz bought several items: a recipe book, a baking dish, five ingredients, and an apron. I need to figure out how much each of those cost individually and then add them all together to get the total amount she spent.",
"First, the recipe book cost $6. That's straightforward. Then, the baking ... | Liz bought several items with the following costs:
- A recipe book that cost $6.
- A baking dish that cost twice as much as the recipe book: \(2 \times 6 = 12\) dollars.
- Five ingredients, each costing $3: \(5 \times 3 = 15\) dollars.
- An apron that cost a dollar more than the recipe book: \(6 + 1 = 7\) dollars.
Add... |
metamathqa_394795 | oumi-ai/MetaMathQA-R1 | A notebook costs three times as much as a pen. If a pen costs $1.50, how much will Lyle pay for 4 notebooks? | [
"Okay, let's try to figure out how much Lyle will pay for 4 notebooks. The problem says that a notebook costs three times as much as a pen. And each pen is $1.50. Hmm, so first I need to find the cost of one notebook, and then multiply that by 4 to get the total cost for 4 notebooks.",
"Alright, step by step. Let... | A notebook costs three times as much as a pen. Given that a pen costs $1.50, we start by calculating the cost of one notebook:
\[
\text{Cost of one notebook} = 3 \times \$1.50 = \$4.50
\]
Next, we need to find the total cost for 4 notebooks:
\[
\text{Total cost for 4 notebooks} = 4 \times \$4.50 = \$18.00
\]
Thus, ... |
metamathqa_394805 | oumi-ai/MetaMathQA-R1 | If Gail has a total of $100 in her wallet, including four $5 bills and three $20 bills, how many $10 bills does she have in her wallet? | [
"Okay, let me try to solve this problem step by step. Hmm, so Gail has a total of $100 in her wallet, and she has four $5 bills and three $20 bills. We need to find out how many $10 bills she has. Let's break this down.",
"First, let's find out how much money the $5 bills and $20 bills add up to. She has four $5 ... | Gail has a total of $100 in her wallet. She has four $5 bills and three $20 bills. To find out how many $10 bills she has, we first calculate the total amount from the $5 and $20 bills:
- The total amount from the $5 bills: \(4 \times 5 = 20\) dollars.
- The total amount from the $20 bills: \(3 \times 20 = 60\) dollar... |
metamathqa_394807 | oumi-ai/MetaMathQA-R1 | If Daisy's milk cow produces 16 cups of milk per day and 75% of that milk is consumed by her kids, with Daisy using 50% of the remaining milk for cooking, how much milk is left over? | [
"First, I need to determine how much milk Daisy's cow produces per day, which is 16 cups.",
"Next, 75% of the milk is consumed by her kids. To find this amount, I calculate 75% of 16 cups:\n0.75 * 16 cups = 12 cups.",
"Subtracting the milk consumed by the kids from the total production gives the remaining milk:... | **Solution:**
1. **Total milk produced:** 16 cups
2. **Milk consumed by kids:**
\( 75\% \times 16 \text{ cups} = 12 \text{ cups} \)
3. **Milk remaining after kids:**
\( 16 \text{ cups} - 12 \text{ cups} = 4 \text{ cups} \)
4. **Milk used for cooking:**
\( 50\% \times 4 \text{ cups} = 2 \text{ cups... |
metamathqa_394813 | oumi-ai/MetaMathQA-R1 | Anne drops a mirror and breaks it into 60 pieces. She sweeps up half of them, then her cat steals x pieces and her boyfriend picks up 1/3 of the remaining pieces. How many pieces does her boyfriend pick up?
If we know the answer to the above question is 9, what is the value of unknown variable x? | [
"Okay, so Anne broke a mirror into 60 pieces. Hmm, bad luck, right? Well, the problem is asking about how many pieces her boyfriend picked up, and we need to find the value of x, which is the number of pieces her cat stole. But we already know the answer is 9, so we need to work backward maybe?",
"Let's start by ... | Anne drops a mirror and breaks it into 60 pieces. She sweeps up half of them, leaving 30 pieces. Her cat then steals \( x \) pieces, leaving \( 30 - x \) pieces. Her boyfriend picks up \( \frac{1}{3} \) of the remaining pieces, which is given to be 9.
To find \( x \), we set up the equation:
\[
\frac{1}{3}(30 - x) = ... |
metamathqa_394818 | oumi-ai/MetaMathQA-R1 | Charley has a bag that contains 51 white beads and x black beads. He reaches in the bag and pulls out 1/6 of the black beads and a third of the white beads. Charley pulled out 32 beads in total. What is the value of unknown variable x? | [
"Okay, let's try to solve this problem step by step. So, Charley has a bag with 51 white beads and x black beads. He takes out 1/6 of the black beads and 1/3 of the white beads, and altogether he pulled out 32 beads. We need to find the value of x, which is the number of black beads.",
"First, let's parse the inf... | Charley has a bag containing 51 white beads and \( x \) black beads. He pulls out \( \frac{1}{6} \) of the black beads and \( \frac{1}{3} \) of the white beads, totaling 32 beads. To find \( x \):
1. Calculate the number of white beads pulled out:
\[
\frac{1}{3} \times 51 = 17
\]
2. Set up the equation for t... |
metamathqa_394819 | oumi-ai/MetaMathQA-R1 | If Beth scored 12 and Jan scored 10 in the first team, and Judy scored 8 while Angel scored 11 in the second team, what is the difference in points between the first and second team? | [
"Okay, let me try to figure out this problem here. So, the question is about finding the difference in points between the first team and the second team, based on how much each person scored. Let's break it down step by step.",
"First, I need to make sure I understand the information given. The first team has two... | To find the difference in points between the first and second team, we start by calculating the total points for each team.
For the first team:
- Beth scored 12 points.
- Jan scored 10 points.
- The total points for the first team is \(12 + 10 = 22\).
For the second team:
- Judy scored 8 points.
- Angel scored 11 poi... |
metamathqa_394820 | oumi-ai/MetaMathQA-R1 | If Dexter filled 9 boxes with basketball cards, with each box containing 15 cards, and 3 fewer boxes with football cards, with each box containing 20 cards, what is the total number of cards that Dexter has? | [
"Okay, so Dexter has filled some boxes with basketball cards and some with football cards. Let me try to parse the problem step by step.",
"First, it says Dexter filled 9 boxes with basketball cards, and each box contains 15 cards. Alright, so for the basketball cards, the total number would be the number of boxe... | Dexter filled 9 boxes with basketball cards, each containing 15 cards. The total number of basketball cards is calculated as follows:
\[
9 \text{ boxes} \times 15 \text{ cards/box} = 135 \text{ basketball cards}
\]
For the football cards, Dexter used 3 fewer boxes than the basketball cards, which is:
\[
9 \text{ boxes... |
metamathqa_394828 | oumi-ai/MetaMathQA-R1 | If there were initially 12 lions and 14 tigers at the feline sanctuary, and the number of cougars was half the combined number of lions and tigers, what was the total number of big cats at the sanctuary? | [
"First, there are 12 lions and 14 tigers at the sanctuary. To find the combined number of lions and tigers, I add these two quantities:",
"12 (lions) + 14 (tigers) = 26 lions and tigers.",
"Next, the number of cougars is half of this combined number. To calculate that, I divide 26 by 2:",
"26 ÷ 2 = 13 cougar... | **Solution:**
1. **Number of Lions and Tigers:**
- Lions: 12
- Tigers: 14
- **Combined total:** \(12 + 14 = 26\)
2. **Number of Cougars:**
- The cougars are half the combined number of lions and tigers.
- **Calculation:** \( \frac{26}{2} = 13 \)
3. **Total Number of Big Cats:**
- Add the cougars to... |
metamathqa_394830 | oumi-ai/MetaMathQA-R1 | If the elder son received 60 toys and Mr. Desmond bought three times as many toys for his younger son as he did for his elder son, what is the total number of toys that Mr. Desmond bought? | [
"Okay, so I need to find out the total number of toys Mr. Desmond bought for his two sons. Let me read the problem again carefully.",
"It says the elder son received 60 toys. Then, Mr. Desmond bought three times as many toys for his younger son as he did for his elder son. The question is asking for the total num... | The elder son received 60 toys. Mr. Desmond bought three times as many toys for his younger son as he did for his elder son. This means the younger son received \(3 \times 60 = 180\) toys.
To find the total number of toys, we add the number of toys each son received:
\[
60 + 180 = 240
\]
Thus, the total number of to... |
metamathqa_394844 | oumi-ai/MetaMathQA-R1 | Every week, Lucas makes 4 pieces of chocolate candy for each of his students on Monday. He made 40 pieces of chocolate candy last Monday. This upcoming Monday, 3 of Lucas' students will not be coming to class. How many pieces of chocolate candy will Lucas make for his class on Monday? | [
"Okay, let's try to figure out how many pieces of chocolate candy Lucas needs to make this upcoming Monday. Alright, let's start by understanding the problem step by step.",
"First, every week, Lucas makes 4 pieces of chocolate candy for each of his students on Monday. Last Monday, he made 40 pieces. So, the firs... | Lucas makes 4 pieces of chocolate candy per student each Monday. Last week, he made 40 pieces, which means he had \( \frac{40}{4} = 10 \) students. This week, 3 students are absent, leaving \( 10 - 3 = 7 \) students. Therefore, Lucas will make \( 7 \times 4 = 28 \) pieces of chocolate candy.
**Answer:** 28 pieces of c... |
metamathqa_394845 | oumi-ai/MetaMathQA-R1 | George is about to celebrate his 25th birthday. Since his 15th birthday, he's been given a special $1 bill from his parents. They told him that on his 25th birthday, for every bill he still has, they will give him $1.5 in exchange. He spent 20% of his special bills. How much will he receive from his parents when he exc... | [
"Alright, let me try to figure out this problem step by step. So, George has been getting a special $1 bill from his parents every year since his 15th birthday. Now, he's about to turn 25, and his parents are going to exchange each remaining bill for $1.50. But he spent 20% of them. I need to find out how much he'l... | George has received a special $1 bill from his parents each year from his 15th birthday up to his 24th birthday. This spans 10 years, resulting in a total of 10 bills.
He spent 20% of these bills. Calculating 20% of 10:
\[
0.2 \times 10 = 2
\]
Thus, he has 8 bills remaining. Each remaining bill is exchanged for $1.50... |
metamathqa_394848 | oumi-ai/MetaMathQA-R1 | Stefan goes to a restaurant to eat dinner with his family. They order an appetizer that costs $10 and 4 entrees that are $20 each. If they tip x% of the total for the waiter, The total amount of money that they spend at the restaurant is 108. What is the value of unknown variable x? | [
"Alright, let's see. Stefan and his family went to a restaurant. They ordered an appetizer that costs $10 and 4 entrees each at $20. Then they tipped x% of the total for the waiter. The total amount they spent was $108. I need to find the value of x, which is the percentage they tipped.",
"Okay, let me start by b... | Stefan and his family ordered an appetizer costing $10 and 4 entrees each costing $20. The subtotal for the food is calculated as follows:
\[
\text{Appetizer cost} + \text{Total entrees cost} = 10 + 4 \times 20 = 10 + 80 = 90
\]
They tipped \( x\% \) of the subtotal, and the total amount spent was $108. The equation ... |
metamathqa_394853 | oumi-ai/MetaMathQA-R1 | Brian can only hold his breath underwater for 10 seconds. He wants to get better, so he starts practicing. After a week, he's doubled the amount of time he can do it. After another week, he's doubled it again from the previous week. The final week, he's increased it by 50% from the previous week. How long can Bria... | [
"Okay, let me try to solve this problem step by step. So Brian can initially hold his breath for 10 seconds. He practices for a few weeks, and each week his time improves. Let me break down the timeline:",
"First week: He doubles his time. So starting with 10 seconds, after the first week, he can hold it for 10 *... | Brian starts with a breath-holding time of 10 seconds. Here's how his progress unfolds each week:
1. **After the first week**: He doubles his time.
\( 10 \text{ seconds} \times 2 = 20 \text{ seconds} \)
2. **After the second week**: He doubles it again.
\( 20 \text{ seconds} \times 2 = 40 \text{ seconds} \)... |
metamathqa_394854 | oumi-ai/MetaMathQA-R1 | If Tim won a $100 raffle and gave away 20% to his friend, what is the amount of money that he kept? | [
"Okay, let's see here. Tim won $100 in a raffle, right? And he gave away 20% of that to his friend. The question is asking how much money he kept. Hmm, okay, so I need to figure out 20% of $100 and then subtract that from the original $100 to see how much he had left. Let me break it down step by step.",
"First, ... | Tim won $100 in a raffle and gave away 20% of that amount to his friend. To determine how much money Tim kept, we need to calculate 20% of $100 and subtract it from the original amount.
First, we calculate 20% of $100:
\[
20\% \text{ of } 100 = \frac{20}{100} \times 100 = 20
\]
Next, we subtract the amount given away... |
metamathqa_394856 | oumi-ai/MetaMathQA-R1 | John weighs 220 pounds when he starts exercising. He manages to lose 10% of his body weight. He then gains back 2 pounds. How much does he weigh at the end? | [
"Okay, let's see. So John starts off weighing 220 pounds. Then he exercises and loses 10% of his body weight. Hmm, I need to figure out how much 10% of 220 pounds is.",
"Alright, percentage calculations. 10% is the same as 10 per 100, which is 0.10 in decimal. So if I multiply 220 by 0.10, that should give me the... | John initially weighs 220 pounds. Losing 10% of his weight:
\[
10\% \text{ of } 220 = 0.10 \times 220 = 22 \text{ pounds}
\]
Subtracting this loss:
\[
220 - 22 = 198 \text{ pounds}
\]
He then gains back 2 pounds:
\[
198 + 2 = 200 \text{ pounds}
\]
**Answer:** John weighs \(\boxed{200}\) pounds at the end. |
metamathqa_394859 | oumi-ai/MetaMathQA-R1 | The Lion King cost 10 million to make and earned 200 million at the box office. If it earned a profit that was half of what Star Wars made and Star Wars cost 25 million to make, how many millions did Star Wars earn? | [
"Okay, let's try to figure out this problem step by step. So, we have two movies here: The Lion King and Star Wars. I need to find out how much Star Wars earned at the box office. Let me start by listing out all the given information.",
"First, for The Lion King, the production cost was 10 million, and it earned ... | The Lion King's profit is calculated by subtracting its production cost from its box office earnings:
\[
\text{Lion King Profit} = 200 \, \text{million} - 10 \, \text{million} = 190 \, \text{million}
\]
Star Wars' profit is twice that of The Lion King's profit:
\[
\text{Star Wars Profit} = 2 \times 190 \, \text{millio... |
metamathqa_394865 | oumi-ai/MetaMathQA-R1 | Ellie has found an old bicycle in a field and thinks it just needs some oil to work well again. She needs 10ml of oil to fix each wheel and will need another 5ml of oil to fix the rest of the bike. How much oil does she need in total to fix the bike? | [
"Okay, let's try to figure this out. So Ellie has this old bicycle in a field, right? And she thinks it just needs some oil to work again. Now, the question is about how much oil she needs in total. Let's see.",
"The problem says she needs 10ml of oil to fix each wheel. Hmm. How many wheels does a bicycle have? W... | Ellie needs 10ml of oil for each wheel of the bicycle. A standard bicycle has two wheels, so the total oil required for the wheels is calculated as follows:
\[
10 \, \text{ml/wheel} \times 2 \, \text{wheels} = 20 \, \text{ml}
\]
Additionally, she needs 5ml of oil to fix the rest of the bike. Adding this to the oil req... |
metamathqa_394872 | oumi-ai/MetaMathQA-R1 | When you take Hiram's age and then add x, you get 4 less than twice Allyson's age. If Hiram is 40 years old, how old is Allyson?
If we know the answer to the above question is 28, what is the value of unknown variable x? | [
"Okay, let's try to figure out the value of x here. Hmm, the problem says that if you take Hiram's age and add x, you get 4 less than twice Allyson's age. Hiram is 40, and Allyson is 28. So I need to find what x is.",
"Let me break it down step by step. First, let's translate the words into an equation. Hiram's a... | Given that Hiram's age is 40 years old and Allyson's age is 28 years old, we need to find the value of the unknown variable \( x \).
The problem states that when you take Hiram's age and add \( x \), you get 4 less than twice Allyson's age. This can be translated into the following equation:
\[
40 + x = 2 \times 28 -... |
metamathqa_394874 | oumi-ai/MetaMathQA-R1 | For the house construction project that Daleyza won, she was contracted to build three houses with different numbers of units. The first building was designed to have 4000 units, the second building was planned to have 2/5 times as many units as the first building, and the third building was intended to have 20% more u... | [
"Okay, so Daleyza has this project where she needs to build three houses with different numbers of units. Let me see how I can figure out the total number of units.",
"First, the problem says the first building has 4000 units. That's straightforward. So building one: 4000 units.",
"Next, the second building was... | The first building has 4000 units. The second building has \(\frac{2}{5}\) times as many units as the first building, which is calculated as follows:
\[
\frac{2}{5} \times 4000 = \frac{8000}{5} = 1600
\]
The third building has 20% more units than the second building. To find this, we calculate 20% of 1600 and add it to... |
metamathqa_394879 | oumi-ai/MetaMathQA-R1 | Tamtam collected 65 shells in total. She got 13 purple shells, 8 pink shells, x yellow shells, and 12 blue shells. The remaining shells are color orange. There are 14 orange shells. What is the value of unknown variable x? | [
"Okay, so Tamtam collected a total of 65 shells. Let me break down the information given:",
"- Purple shells: 13\n- Pink shells: 8\n- Yellow shells: x (which is the unknown we need to find)\n- Blue shells: 12\n- Orange shells: 14 (these are the remaining ones)",
"The total number of shells should add up to 65. ... | Tamtam collected a total of 65 shells. The number of shells of each color is given as follows:
- Purple shells: 13
- Pink shells: 8
- Yellow shells: \( x \)
- Blue shells: 12
- Orange shells: 14
To find the value of \( x \), we sum the number of shells of each color and set it equal to the total number of shells:
\[... |
metamathqa_394882 | oumi-ai/MetaMathQA-R1 | If there are initially 96 campers at Camp Wonka, with two-thirds of them being boys and the remaining one-third being girls, and 50% of the boys and 75% of the girls want to toast marshmallows, how many marshmallows do they need in total, assuming each camper gets one marshmallow to toast? | [
"First, I need to determine the total number of campers at Camp Wonka, which is given as 96.",
"Next, I'll calculate the number of boys and girls. Two-thirds of the campers are boys, so:\nNumber of boys = 96 Ã (2/3) = 64 boys.",
"The remaining one-third are girls:\nNumber of girls = 96 Ã (1/3) = 32 girls.",
... | **Solution:**
1. **Total Campers:** 96
2. **Number of Boys:**
\( \frac{2}{3} \text{ of } 96 = \frac{2}{3} \times 96 = 64 \) boys.
3. **Number of Girls:**
\( \frac{1}{3} \text{ of } 96 = \frac{1}{3} \times 96 = 32 \) girls.
4. **Boys Wanting Marshmallows:**
\( 50\% \text{ of } 64 = 0.50 \times 64... |
metamathqa_394883 | oumi-ai/MetaMathQA-R1 | Josie received $50 as a gift. She plans to buy two cassette tapes that cost $x each and a headphone set that costs $25. She will have 7 money left. What is the value of unknown variable x? | [
"Okay, so Josie got $50 as a gift. She wants to buy two cassette tapes and a headphone set. Each cassette tape costs $x, and the headphone set is $25. After buying these things, she'll have $7 left. I need to figure out how much each cassette tape costs, right? Let me think about how to set up the equation here.",
... | Josie received $50 as a gift. She plans to buy two cassette tapes that cost $x each and a headphone set that costs $25. After these purchases, she will have $7 left. To find the value of \( x \):
1. The total cost of the cassette tapes is \( 2x \).
2. The total cost of the headphone set is $25.
3. The total amount spe... |
metamathqa_394907 | oumi-ai/MetaMathQA-R1 | Reynald is the head of the varsity department, and he bought 145 balls. Twenty were soccer balls. There were five more basketballs than the soccer balls. Twice the number of soccer balls were tennis balls. There were ten more baseballs than the soccer balls, and the rest were volleyballs. How many were volleyballs? | [
"Okay, so Reynald bought 145 balls in total. Let me try to break down the problem step by step. First, we know there are 20 soccer balls. Then there are five more basketballs than soccer balls. Hmm, so if soccer balls are 20, then basketballs would be 20 plus 5, right? Let me confirm. Yes, 20 + 5 is 25. So, 25 bask... | Reynald bought a total of 145 balls. The breakdown of the balls is as follows:
- Soccer balls: 20
- Basketballs: 20 (soccer balls) + 5 = 25
- Tennis balls: 2 Ã 20 (soccer balls) = 40
- Baseballs: 20 (soccer balls) + 10 = 30
Adding these together:
\[
20 + 25 + 40 + 30 = 115
\]
Subtracting this sum from the total num... |
metamathqa_394914 | oumi-ai/MetaMathQA-R1 | The coach of a football team asked his players to do six laps of the field. The field is in the shape of a rectangle of length 100 m and width 50 m. What is the distance each player will run, in meters? | [
"Okay, let's see... The coach wants the players to do six laps around a rectangular field. The field is 100 meters long and 50 meters wide. I need to figure out the distance each player will run in total. Hmm, alright, so first things first, I should probably figure out the perimeter of the field because one lap ar... | The coach wants the players to do six laps around a rectangular field with a length of 100 meters and a width of 50 meters. To find the total distance each player will run, we first need to calculate the perimeter of the field.
The perimeter \( P \) of a rectangle is given by the formula:
\[
P = 2 \times (\text{length... |
metamathqa_394927 | oumi-ai/MetaMathQA-R1 | If Donny's truck can hold 150 liters of fuel and already has 38 liters, and each liter of fuel costs $3, how much change will he receive from $350 after gassing up his tank? | [
"Okay, let's see. Donny has a truck, and the fuel tank can hold up to 150 liters. Right now, there are already 38 liters in there. So, first, I need to figure out how much more fuel he can add to fill the tank. Hmm, that should be 150 liters minus the 38 liters he already has. Let me calculate that.",
"150 minus ... | Donny's truck can hold 150 liters of fuel and already has 38 liters. To find out how much more fuel he needs, we subtract the current amount from the total capacity:
\[
150 \text{ liters} - 38 \text{ liters} = 112 \text{ liters}
\]
Each liter of fuel costs $3, so the total cost for 112 liters is:
\[
112 \text{ liter... |
metamathqa_394928 | oumi-ai/MetaMathQA-R1 | Mr. Smith had 32 markers in his classroom. He buys new boxes of markers that have 9 markers in each box. Now, he has 86 markers. How many new boxes did Mr. Smith buy? | [
"Okay, let's see here. So, Mr. Smith originally had 32 markers in his classroom. Then he bought some new boxes of markers, each box containing 9 markers. After buying those, he now has a total of 86 markers. The question is asking how many new boxes he bought. Hmm, right. So, we need to figure out how many boxes of... | Mr. Smith originally had 32 markers. After buying new boxes, he has 86 markers. To find the number of new markers he bought, we calculate the difference between the final number of markers and the original number:
\[
86 - 32 = 54
\]
Mr. Smith bought 54 new markers. Each box contains 9 markers, so we divide the total ... |
metamathqa_394929 | oumi-ai/MetaMathQA-R1 | If an artist uses 3 ounces of paint for every large canvas they cover and 2 ounces of paint for every small canvas they cover, and they have completed 3 large paintings and 4 small paintings, what is the total number of ounces of paint they have used? | [
"To determine the total amount of paint the artist has used, we need to calculate the paint used for the large paintings and the small paintings separately, and then add them together.",
"For the large paintings:\nEach large painting requires 3 ounces of paint. The artist completed 3 large paintings.\nSo, the tot... | **Solution:**
1. **Paint used for large paintings:**
\( 3 \text{ large paintings} \times 3 \text{ ounces/painting} = 9 \text{ ounces} \)
2. **Paint used for small paintings:**
\( 4 \text{ small paintings} \times 2 \text{ ounces/painting} = 8 \text{ ounces} \)
3. **Total paint used:**
\( 9 \text{ ounce... |
metamathqa_394938 | oumi-ai/MetaMathQA-R1 | If the town's annual budget is $32 million, with half of it allocated to policing and $12 million allocated to education, what is the remaining amount of money for managing public spaces? | [
"Okay, let's see. The town's annual budget is $32 million. Half of it is allocated to policing. So, first, I need to figure out how much half of $32 million is. That should be straightforward. Half of 32 is 16, so policing gets $16 million. Then, they've allocated $12 million to education. Now, the question is aski... | The remaining amount for managing public spaces is calculated as follows:
1. **Total budget**: $32 million
2. **Policing allocation**: Half of $32 million = $16 million
3. **Education allocation**: $12 million
4. **Total allocated to policing and education**: $16 million + $12 million = $28 million
5. **Remain... |
metamathqa_394939 | oumi-ai/MetaMathQA-R1 | Roy spends 2 hours on sports activities in school every day. He goes to school 5 days a week. If he missed 2 days within a week, how many hours did he spend on sports in school that week? | [
"Okay, let's see. So Roy does sports at school every day for 2 hours. He normally goes to school 5 days a week. But this particular week, he missed 2 days. The question is asking how many hours he spent on sports that week.",
"First, I need to figure out how many days he actually attended school that week. Since ... | Roy engages in sports for 2 hours each school day. Normally, he attends school 5 days a week, totaling \(5 \text{ days} \times 2 \text{ hours/day} = 10 \text{ hours}\) of sports weekly. However, missing 2 days reduces his attendance to \(5 - 2 = 3\) days. Thus, his sports participation for the week is \(3 \text{ days} ... |
metamathqa_394940 | oumi-ai/MetaMathQA-R1 | If John decided to sell his PlayStation, which was worth $400, for 20% less than its value, and the computer he wanted to buy cost $700 with $200 worth of accessories, how much money did John have to spend from his own pocket? | [
"Okay, so let's figure out how much money John needs to spend from his own pocket. Alright, first, he's selling his PlayStation that's worth $400, but he's selling it for 20% less than its value. Hmm, okay, so 20% less than $400. I need to calculate 20% of $400 first, right?",
"20% of 400 is... let's see, 20% is ... | John decided to sell his PlayStation, which was worth $400, for 20% less than its value. To find the selling price, we calculate 20% of $400:
\[
0.20 \times 400 = 80
\]
Subtracting this from the original value gives:
\[
400 - 80 = 320
\]
John sold the PlayStation for $320. The computer he wanted to buy costs $700, ... |
metamathqa_394955 | oumi-ai/MetaMathQA-R1 | Simplify the expression $(3+3+5)\div2 - 1\div2$ as much as possible. | [
"Okay, so I need to simplify this expression: (3 + 3 + 5) ÷ 2 - 1 ÷ 2. Let me take it step by step. First, I should handle the operations inside the parentheses. The parentheses have 3 + 3 + 5. Let me add those numbers together.",
"3 plus 3 is 6, right? Then 6 plus 5 would be 11. So, that part simplifies to 11.... | First, simplify the expression inside the parentheses:
\[
3 + 3 + 5 = 11
\]
This transforms the original expression into:
\[
\frac{11}{2} - \frac{1}{2}
\]
Since both terms have the same denominator, combine them over the same denominator:
\[
\frac{11 - 1}{2} = \frac{10}{2} = 5
\]
Thus, the simplified expression is \(\... |
metamathqa_394958 | oumi-ai/MetaMathQA-R1 | Teddy is a pillow-maker. He uses 3 less than x pounds of fluffy foam material to make each pillow. If Teddy has three tons of fluffy foam material, how many pillows can he make?
If we know the answer to the above question is 3000, what is the value of unknown variable x? | [
"Okay, let's try to figure this out. We have Teddy, who makes pillows. He uses 3 less than x pounds of fluffy foam material per pillow. He has three tons of material. The question says that the answer is 3000 pillows, and we need to find x. Hmm, okay.",
"First, I need to make sure I understand the problem correct... | Teddy uses \( x - 3 \) pounds of fluffy foam material to make each pillow. He has three tons of material, which is \( 3 \times 2000 = 6000 \) pounds. Given that he can make 3000 pillows, we set up the equation:
\[
3000 = \frac{6000}{x - 3}
\]
Solving for \( x \):
1. Multiply both sides by \( x - 3 \):
\[
3000(... |
metamathqa_394970 | oumi-ai/MetaMathQA-R1 | A taxi ride costs X plus $\$0.25$ per mile traveled. How much, in dollars, A 5-mile taxi ride costs 2.75. What is the value of unknown variable X? | [
"Okay, let me think through this problem step by step. So, the question is about figuring out the value of X, which is the base fare for a taxi ride. The total cost of a 5-mile ride is $2.75, and we know that the cost is X plus $0.25 per mile. Alright, let me write that down to visualize it better.",
"The total c... | The total cost of a taxi ride is given by the formula \( X + 0.25 \times \text{miles traveled} \). For a 5-mile ride, the total cost is $2.75.
First, we calculate the cost per mile for 5 miles:
\[
0.25 \, \text{dollars/mile} \times 5 \, \text{miles} = 1.25 \, \text{dollars}
\]
Next, we set up the equation using the ... |
metamathqa_394976 | oumi-ai/MetaMathQA-R1 | If John starts at an elevation of 400 feet and descends at a rate of 10 feet per minute for a total of 5 minutes, what is his current elevation? | [
"Okay, so I need to figure out John's current elevation after he descends for 5 minutes starting from 400 feet. Hmm, let's break this down step by step.",
"First, John starts at 400 feet. Descending means he's going down, right? So his elevation will decrease over time. The rate given is 10 feet per minute. That ... | John starts at an elevation of 400 feet and descends at a rate of 10 feet per minute for 5 minutes. To find his current elevation:
1. Calculate the total descent:
**10 feet/min à 5 minutes = 50 feet.**
2. Subtract the total descent from the starting elevation:
**400 feet â 50 feet = 350 feet.**
**Joh... |
metamathqa_394979 | oumi-ai/MetaMathQA-R1 | Daniel practices basketball for 15 minutes each day during the school week. He practices twice as long each day on the weekend. How many minutes does he practice during a whole week? | [
"Okay, so Daniel practices basketball for 15 minutes each day during the school week. Then, on the weekend, he practices twice as long each day. I need to figure out how many minutes he practices during the whole week. Hmm, let's break this down.",
"First, what's considered the school week? Usually, that's Monday... | Daniel practices 15 minutes each day from Monday to Friday (5 days):
\[ 5 \text{ days} \times 15 \text{ minutes/day} = 75 \text{ minutes} \]
On weekends (Saturday and Sunday), he practices twice as long (30 minutes each day):
\[ 2 \text{ days} \times 30 \text{ minutes/day} = 60 \text{ minutes} \]
Total practice tim... |
metamathqa_394986 | oumi-ai/MetaMathQA-R1 | Hannah bought a new washing machine for $100 and a dryer that costs $30 less. Hannah got a 10% discount for buying two appliances. How much did Hannah pay for the two appliances after the discount? | [
"Okay, let's see. Hannah bought a washing machine and a dryer. The washing machine costs $100. The dryer is $30 less than the washing machine. So first, I need to figure out the cost of the dryer.",
"Wait, the washing machine is $100, so the dryer is $100 minus $30. That would be $100 - $30 = $70. So the dryer co... | Hannah purchased a washing machine for $100 and a dryer that costs $30 less.
1. **Dryer cost**: $100 â $30 = **$70**
2. **Total cost before discount**: $100 (washing machine) + $70 (dryer) = **$170**
3. **10% discount on the total**: 10% of $170 = 0.10 Ã $170 = **$17**
4. **Final payment after discount**: $1... |
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