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metamathqa_20454 | oumi-ai/MetaMathQA-R1 | Lilia has 15 peaches. She sold 10 peaches to her friends for $2 each, while 4 other peaches were sold to her relatives for $1.25 each, and she left the other one for herself. How much did she earn after selling 14 peaches? | [
"Okay, so Lilia has 15 peaches total. Let me break down the problem step by step. First, she sold 10 peaches to her friends for $2 each. Then, she sold 4 peaches to her relatives for $1.25 each. She kept one peach for herself. The question is asking how much she earned after selling 14 peaches.",
"Let me verify t... | Lilia has 15 peaches. She sold 10 peaches to her friends for $2 each and 4 peaches to her relatives for $1.25 each. The remaining peach was kept for herself.
To calculate her total earnings from selling 14 peaches:
- Revenue from selling to friends: \(10 \text{ peaches} \times \$2/\text{peach} = \$20\)
- Revenue from ... |
metamathqa_20456 | oumi-ai/MetaMathQA-R1 | Annie has $120. The restaurant next door sells hamburgers for $4 each. The restaurant across the street sells milkshakes for $3 each. Annie buys 8 hamburgers and 6 milkshakes. How much money, in dollars, does she have left? | [
"Okay, let's see... Annie has $120. She buys hamburgers and milkshakes from two different places. The problem is asking how much money she has left after her purchases. Hmm, I need to figure out the total amount she spent on hamburgers and milkshakes and then subtract that from her initial $120.",
"First, let's b... | Annie starts with $120.
She buys 8 hamburgers at $4 each:
\[
8 \times 4 = 32 \text{ dollars}
\]
She buys 6 milkshakes at $3 each:
\[
6 \times 3 = 18 \text{ dollars}
\]
The total amount spent is:
\[
32 + 18 = 50 \text{ dollars}
\]
Subtracting the total spent from her initial amount:
\[
120 - 50 = 70 \text{ dollars}... |
metamathqa_20457 | oumi-ai/MetaMathQA-R1 | Shelly has x $10 bills and four fewer $5 bills. How much money does Shelly have in all?
If we know the answer to the above question is 130, what is the value of unknown variable x? | [
"Okay, let's try to solve this problem. So, Shelly has x number of $10 bills and four fewer $5 bills. We need to find out how much money she has in total, but actually, the problem states that the answer is already 130, and we need to find the value of x. Hmm, okay. Let me see.",
"First, breaking down the problem... | Shelly has \( x \) $10 bills and four fewer $5 bills. The total amount of money she has is given as $130. To find the value of \( x \):
1. The total amount from the $10 bills is \( 10x \).
2. The number of $5 bills is \( x - 4 \), so the total amount from the $5 bills is \( 5(x - 4) \).
3. The equation for the total a... |
metamathqa_20461 | oumi-ai/MetaMathQA-R1 | Ivan had $10 and spent 1/5 of it on cupcakes. He then spent some money on a milkshake and had only $3 left. How much is the milkshake? | [
"Okay, let's see. Ivan had $10 and spent 1/5 of it on cupcakes. Then he bought a milkshake and had $3 left. The question is asking how much the milkshake cost.",
"First, I need to figure out how much he spent on cupcakes. He had $10 and spent 1/5 of that. So, 1/5 of $10 is... well, 10 divided by 5 is 2. So he spe... | Ivan initially had $10.
1. **Cupcakes Cost**: Calculate 1/5 of $10:
\[
\frac{1}{5} \times 10 = 2 \text{ dollars}
\]
Remaining after cupcakes:
\[
10 - 2 = 8 \text{ dollars}
\]
2. **Milkshake Cost**: After buying the milkshake, he has $3 left. Let \( x \) be the milkshake's cost:
\[
8 - x = ... |
metamathqa_20467 | oumi-ai/MetaMathQA-R1 | Mary and Rose went shopping to buy presents. They spent the same amount. Mary bought two pairs of sunglasses for $50 each and a pair of jeans for $100. Rose bought a pair of shoes at $150 and two decks of basketball cards. How much did one deck of basketball cards cost? | [
"Okay, let's tackle this problem step by step. So, Mary and Rose went shopping, and they spent the same amount. We need to figure out how much one deck of basketball cards cost Rose.",
"First, let's look at what Mary bought. She bought two pairs of sunglasses, each costing $50, and a pair of jeans for $100. I'll ... | Mary and Rose spent the same amount shopping. Mary bought two pairs of sunglasses for $50 each and a pair of jeans for $100. The total amount Mary spent is calculated as follows:
\[
2 \times 50 + 100 = 100 + 100 = 200
\]
Thus, Mary spent $200. Since Rose spent the same amount, we know Rose also spent $200. Rose bough... |
metamathqa_20469 | oumi-ai/MetaMathQA-R1 | Brittany is older than Rebecca by 3 years, who is 25. Brittany goes on a 4-year vacation. How old is Brittany when she returns from her vacation? | [
"Okay, let's see. The problem says Brittany is older than Rebecca by 3 years, and Rebecca is 25. Then Brittany goes on a 4-year vacation, and we need to find out how old Brittany is when she returns.",
"First, let's break it down. The key information here is the age difference between Brittany and Rebecca. Rebecc... | Brittany is 3 years older than Rebecca, who is 25. Therefore, Brittany's current age is:
\[
25 \text{ (Rebecca's age)} + 3 = 28 \text{ years old}.
\]
After a 4-year vacation, her age becomes:
\[
28 + 4 = 32 \text{ years old}.
\]
**Answer:** Brittany is \boxed{32} years old when she returns. |
metamathqa_20471 | oumi-ai/MetaMathQA-R1 | Mary went shopping with her two kids to prepare for the new school year. She purchased a coat for her son James for $40 and two pairs of jeans. She also bought a pair of shoes for her daughter Jamie for $30. The total cost of all the items was $110. If the two pairs of jeans for James were priced equally, what is the c... | [
"Okay, let's see here. Mary went shopping for her two kids to get ready for the new school year. She bought a coat for James, that's her son, for $40. Then she bought two pairs of jeans. They must be for James too, since it's under the same \"purchased\" sentence. Then she also got a pair of shoes for her daughter ... | Mary spent a total of $110. From this total, we subtract the cost of the coat ($40) and the shoes ($30):
\[
110 - 40 - 30 = 40
\]
The remaining $40 covers the cost of two pairs of jeans. Since the jeans are equally priced, divide by 2:
\[
\frac{40}{2} = 20
\]
**Answer:** The cost of one pair of jeans is \boxed{20} ... |
metamathqa_20473 | oumi-ai/MetaMathQA-R1 | Kendy made 2 online bank transactions. She transferred $60 to her mom and half that amount to her sister. As a result, her account now has $100 left in it. How much money was in the account before the transfer? | [
"Okay, let me try to figure this problem out. So, Kendy made two online transactions. First, she transferred $60 to her mom, and then she transferred half of that amount to her sister. After these transfers, she has $100 left in her account. The question is asking how much money was in her account before the transf... | Kendy transferred $60 to her mom and half of that amount ($30) to her sister. The total amount transferred is $60 + $30 = $90. After these transfers, she has $100 left in her account. To find the original amount in her account, we add the total transferred amount to the remaining amount:
\[
100 + 90 = 190
\]
We can v... |
metamathqa_20474 | oumi-ai/MetaMathQA-R1 | A father is buying sand to fill his son's new sandbox, but he is worried that the sand will be too heavy for his car. The sandbox is square, with each side being 40 inches long. If a 30-pound bag of sand is enough to fill 80 square inches of the sandbox to an adequate depth, how many pounds of sand are needed to fill... | [
"Okay, so the father has this square sandbox, right? Each side is 40 inches long. He needs to figure out how much sand to buy without overloading his car. Let me break this down.",
"First, the sandbox is square, so its area should be side length squared. That would be 40 inches times 40 inches. Let me calculate t... | The sandbox is square with each side being 40 inches long. To find the area of the sandbox, we calculate:
\[
40 \, \text{inches} \times 40 \, \text{inches} = 1600 \, \text{square inches}
\]
A 30-pound bag of sand can fill 80 square inches to the adequate depth. We need to determine how many 30-pound bags are required... |
metamathqa_20477 | oumi-ai/MetaMathQA-R1 | What is the total duration of Harry's morning routine, considering that he spends 15 minutes buying coffee and a bagel, and twice that amount of time reading the paper and eating before going to work? | [
"Okay, so Harry has this morning routine, right? The question is asking for the total duration of his morning routine. Let's see... The problem states that he spends 15 minutes buying coffee and a bagel. Then, it says he spends twice that amount of time reading the paper and eating before going to work. Hmm, need t... | Harry's morning routine consists of two parts:
1. Buying coffee and a bagel: **15 minutes**.
2. Reading the paper and eating: **twice the time** spent on the first activity, which is **2 Ã 15 minutes = 30 minutes**.
**Total duration** = 15 minutes + 30 minutes = **45 minutes**.
**Answer:** 45 minutes. |
metamathqa_20482 | oumi-ai/MetaMathQA-R1 | Margo donated $4300 to Jayden's fundraising campaign. If Julie donated $4700 to Jayden's campaign, What's half the difference in the amount they contributed? | [
"Okay, let's try to solve this problem step by step. So, Margo donated $4,300 to Jayden's fundraising campaign. Then Julie donated $4,700. The question is asking for half the difference in the amount they contributed. Alright, first, I need to figure out the difference between their donations, right?",
"So, first... | To find half the difference between Margo's and Julie's donations:
1. **Calculate the difference:**
\( \$4700 - \$4300 = \$400 \)
2. **Find half of the difference:**
\( \frac{\$400}{2} = \$200 \)
**Answer:** \$200 |
metamathqa_20484 | oumi-ai/MetaMathQA-R1 | John uses 5 liters of fuel per km to travel. How many liters of fuel should John plan to use if he plans to travel on two trips of 30 km and 20 km? | [
"Okay, so John is planning two trips, one that's 30 km and another that's 20 km. He uses 5 liters of fuel per kilometer. I need to figure out how much fuel he should plan to use in total for both trips. Hmm. Let me think through this step by step.",
"First, maybe I should calculate the fuel needed for each trip s... | To determine the total fuel John should plan for his trips, follow these steps:
1. **Calculate fuel for each trip:**
- **30 km trip:** \( 30 \, \text{km} \times 5 \, \text{liters/km} = 150 \, \text{liters} \)
- **20 km trip:** \( 20 \, \text{km} \times 5 \, \text{liters/km} = 100 \, \text{liters} \)
2. **Sum th... |
metamathqa_20488 | oumi-ai/MetaMathQA-R1 | If one of the fields has 13 full rows of corn cobs and the other field has 16 full rows of corn cobs, with each row containing 4 corn cobs, what is the total number of corn cobs grown on the farm? | [
"Okay, so there are two fields with corn cobs. Let me break this down step by step.",
"First field: 13 rows. Second field: 16 rows. Each row has 4 corn cobs. The question is asking for the total number of corn cobs on the entire farm.",
"Hmm, so maybe I need to calculate the number of corn cobs in each field se... | To find the total number of corn cobs grown on the farm, we can calculate the number of corn cobs in each field separately and then sum them up.
First field:
- 13 rows with 4 corn cobs per row.
- Calculation: \(13 \times 4 = 52\).
Second field:
- 16 rows with 4 corn cobs per row.
- Calculation: \(16 \times 4 = 64\).
... |
metamathqa_20514 | oumi-ai/MetaMathQA-R1 | Kekai's family is having a garage sale. Kekai sells x shirts and 5 pairs of pants. Each shirt sells for $1, and each pair of pants sells for $3. If Kekai gives his parents half of the money he earns from selling his clothes, Kekai has 10 money left. What is the value of unknown variable x? | [
"Okay, so Kekai is having a garage sale with his family. He sells some shirts and pants, right? The problem is asking how many shirts he sold, which is represented by x. Let me see if I can figure this out step by step.",
"First, let's summarize the given information. Kekai sells x shirts and 5 pairs of pants. Ea... | Kekai sells \( x \) shirts and 5 pairs of pants. Each shirt sells for $1, and each pair of pants sells for $3. The total money earned from selling shirts is \( x \) dollars and from selling pants is \( 5 \times 3 = 15 \) dollars. Therefore, the total money earned is \( x + 15 \) dollars.
Kekai gives half of this money... |
metamathqa_20516 | oumi-ai/MetaMathQA-R1 | James writes a 3-page letter to x different friends twice a week. How many pages does he write a year?
If we know the answer to the above question is 624, what is the value of unknown variable x? | [
"Okay, let's see. James writes a 3-page letter to x different friends twice a week. I need to find out how many pages he writes in a year, and then use that information to solve for x when the annual total is 624 pages. Hmm, okay, step by step.",
"First, let me break down the problem. James writes letters to x fr... | James writes a 3-page letter to \( x \) different friends twice a week. To find out how many pages he writes in a year, we start by calculating the total number of pages he writes per friend per week.
Each friend receives 2 letters per week, and each letter is 3 pages. Therefore, the number of pages per friend per we... |
metamathqa_20519 | oumi-ai/MetaMathQA-R1 | If Carlos has 20 baseball cards and Matias has 6 fewer cards than Carlos, and Jorge has an equal number of baseball cards as Matias, what is the total number of baseball cards that the three of them have? | [
"Okay, let's try to solve this problem step by step. So, Carlos has 20 baseball cards. Matias has 6 fewer cards than Carlos. Then Jorge has the same number of cards as Matias. We need to find the total number of cards all three of them have together.",
"First, let's figure out how many cards Matias has. If Carlos... | Carlos has 20 baseball cards. Matias has 6 fewer cards than Carlos, so Matias has \(20 - 6 = 14\) cards. Jorge has the same number of cards as Matias, so Jorge also has 14 cards.
To find the total number of baseball cards, we add the number of cards each person has:
\[
20 \text{ (Carlos)} + 14 \text{ (Matias)} + 14 \... |
metamathqa_20521 | oumi-ai/MetaMathQA-R1 | If Abraham sets a budget of $60 for his toiletries shopping and spends $4 each on 4 shower gels, $3 on a tube of toothpaste, and has $30 left in his budget, how much money did he spend on the box of laundry detergent, in dollars? | [
"Okay, let's see. So Abraham has a total budget of $60 for his toiletries shopping. He buys several things: 4 shower gels, each costing $4; a tube of toothpaste that's $3; and a box of laundry detergent, which is what we need to find out the price of. After buying all these items, he has $30 left. So they're asking... | Abraham has a budget of $60 for his toiletries shopping. After purchasing the items, he has $30 left. Therefore, the total amount he spent is:
\[ 60 - 30 = 30 \text{ dollars} \]
He bought 4 shower gels at $4 each, which cost:
\[ 4 \times 4 = 16 \text{ dollars} \]
He also bought a tube of toothpaste for $3. The comb... |
metamathqa_20523 | oumi-ai/MetaMathQA-R1 | In 6 years, Carla will be 30 years old. The sum of the current ages of Carla and Louis is 55. How old is Louis now? | [
"Okay, let's see. The problem says: In 6 years, Carla will be 30 years old. The sum of the current ages of Carla and Louis is 55. How old is Louis now?",
"Hmm, so first, Carla's age in 6 years is 30. That means right now, Carla is 30 minus 6 years old. Let me calculate that. 30 minus 6 is 24. So Carla is currentl... | Carla's current age can be determined by the information that she will be 30 years old in 6 years.
\[
\text{Carla's current age} = 30 - 6 = 24
\]
Given that the sum of the current ages of Carla and Louis is 55, we can find Louis's current age as follows:
\[
\text{Louis's current age} = 55 - \text{Carla's current ag... |
metamathqa_20524 | oumi-ai/MetaMathQA-R1 | Chuck can ride the merry-go-round 5 times longer than Dave who can only ride it for 10 minutes before getting sick. Erica can stay on the merry-go-round x% longer than Chuck before getting sick. Erica can stay on the merry-go-round for 65. What is the value of unknown variable x? | [
"Okay, let me try to figure out this problem step by step. So, we need to find the value of x, which represents the percentage by which Erica can stay on the merry-go-round longer than Chuck. Hmm, let's start by breaking down the information given.",
"First, it says that Chuck can ride the merry-go-round 5 times ... | Chuck can ride the merry-go-round 5 times longer than Dave, who can ride for 10 minutes. Therefore, Chuck's time is:
\[
5 \times 10 = 50 \text{ minutes}
\]
Erica can stay on the merry-go-round for 65 minutes, which is \( x\% \) longer than Chuck's time. We need to find \( x \). The relationship between Erica's time an... |
metamathqa_20535 | oumi-ai/MetaMathQA-R1 | To eat to when she gets full, Michaela needs x oranges. Cassandra needs twice as many oranges as Michaela to eat until she gets full. If they picked 90 oranges from the farm today, how many oranges would remain after they've both eaten until they were full?
If we know the answer to the above question is 30, what is the... | [
"Alright, let's tackle this problem step by step. Okay, so Michaela needs x oranges to eat until she gets full. Then Cassandra needs twice as many oranges as Michaela. Together, they picked 90 oranges, and after eating, 30 remain. We need to find the value of x.",
"First, let me understand the problem again. Mich... | Michaela needs \( x \) oranges to eat until she gets full. Cassandra needs twice as many oranges as Michaela, which is \( 2x \). Together, they picked 90 oranges, and 30 oranges remained after they ate.
To find the value of \( x \), we first calculate the total number of oranges they ate, which is \( 90 - 30 = 60 \).... |
metamathqa_20551 | oumi-ai/MetaMathQA-R1 | If Amy biked 12 miles yesterday and today she biked 3 miles less than twice the distance she biked yesterday, what is the total distance she biked in the two days? | [
"Okay, so Amy biked 12 miles yesterday. Got that down. The problem is asking for the total distance she biked over two days: yesterday and today. I need to find out how much she biked today and then add it to yesterday's miles.",
"Let me parse the next part. Today she biked \"3 miles less than twice the distance ... | Amy biked 12 miles yesterday. Today, she biked \(2 \times 12 - 3 = 21\) miles. Therefore, the total distance over two days is \(12 + 21 = \boxed{33}\) miles. |
metamathqa_20558 | oumi-ai/MetaMathQA-R1 | I went to the music shop and there were CDs of The Life Journey for x, A Day a Life for $50, and When You Rescind for $85 on display. If I bought 3 of each CD to share with my friends, what's the total amount of money I spent in the shop?
If we know the answer to the above question is 705, what is the value of unknown ... | [
"Okay, let's see. I need to find the value of x, which is the price of the CD \"The Life Journey.\" The total amount spent was $705 when buying three of each CD. The other two CDs are priced at $50 and $85 each.",
"So, first, let me break this down. The person bought three copies of each CD. That means for each C... | Given the total amount spent on buying three of each CD is $705, we need to find the price \( x \) of "The Life Journey" CD. The prices of the other two CDs are $50 and $85 each.
We start by setting up the equation for the total cost:
\[
3x + 3 \times 50 + 3 \times 85 = 705
\]
First, calculate the costs for the know... |
metamathqa_20559 | oumi-ai/MetaMathQA-R1 | Find the domain of the function
\[h(x) = \frac{3x - 1}{\sqrt{x - X
If we know the answer to the above question is (5,\infty), what is the value of unknown variable X? | [
"Okay, so I need to figure out the value of X such that the domain of the function h(x) = (3x - 1)/sqrt(x - X) is (5, â). Let me remember how to find the domain of a function like this.",
"First, the function has a square root in the denominator. So, the expression inside the square root has to be positive, rig... | To find the value of \( X \) such that the domain of the function \( h(x) = \frac{3x - 1}{\sqrt{x - X}} \) is \( (5, \infty) \), we need to consider the conditions under which the function is defined.
1. The expression inside the square root, \( x - X \), must be positive because the square root of a negative number ... |
metamathqa_20572 | oumi-ai/MetaMathQA-R1 | Define $a * b$ as $2a - b^2$. If $a * 5 = 9$, what is the value of $a$? | [
"Okay, so I need to solve for 'a' in this equation where the operation * is defined as 2a minus b squared. The problem says that a * 5 equals 9. Alright, let me start by writing down what's given.",
"The operation * is given by a * b = 2a - b². So when they mention a * 5 = 9, that translates to substituting b wi... | Given the operation \( a * b = 2a - b^2 \), we need to find the value of \( a \) such that \( a * 5 = 9 \).
Starting with the given equation:
\[
a * 5 = 9
\]
Substitute \( b = 5 \) into the operation definition:
\[
2a - 5^2 = 9
\]
Calculate \( 5^2 \):
\[
2a - 25 = 9
\]
Add 25 to both sides of the equation:
\[
2a = 9 +... |
metamathqa_20576 | oumi-ai/MetaMathQA-R1 | Karen wanted to go out to get some fast food. She pulls up to the drive-through and orders a 5-dollar burger. Her son then yelled out that he wanted a 4-dollar sandwich, so it was added to the order. Karen then decided to order some drinks and opted for two 4-dollar smoothies. What is the total cost of Karen's fast-foo... | [
"Okay, let's try to figure out the total cost of Karen's fast-food order. Hmm, she first ordered a 5-dollar burger. Then her son wanted a 4-dollar sandwich, so that's added on. After that, Karen decided to get two 4-dollar smoothies. I need to add all these amounts together to find the total.",
"Let me break it d... | The total cost of Karen's order is calculated by adding up the prices of each item:
1. **Burger**: $5
2. **Sandwich**: $4
3. **Smoothies**: 2 Ã $4 = $8
**Total**: $5 + $4 + $8 = **\$17**
\[\boxed{17}\] |
metamathqa_20577 | oumi-ai/MetaMathQA-R1 | What is the total number of stamps in Stella's album if she counted 50 pages and the first 10 pages have 5 rows of 30 stamps each, while the remaining pages have 50 stamps each? | [
"Okay, let me see. Stella has an album with 50 pages total. The first 10 pages have a certain number of stamps, and the remaining pages (which would be 50 - 10 = 40 pages) have a different number. I need to calculate the total number of stamps in the entire album.",
"First, I should handle the first 10 pages. The... | Stella's album has 50 pages. The first 10 pages have 5 rows of 30 stamps each, and the remaining 40 pages have 50 stamps each.
For the first 10 pages:
- Stamps per page: \( 5 \text{ rows} \times 30 \text{ stamps/row} = 150 \text{ stamps} \)
- Total stamps for 10 pages: \( 10 \text{ pages} \times 150 \text{ stamps/page... |
metamathqa_20578 | oumi-ai/MetaMathQA-R1 | Mr Cruz went to his doctor to seek advice on the best way to gain weight. His doctor told him to include more proteins in his meals and live a generally healthy lifestyle. After a month of following his doctor's advice, Mr Cruz had a weight gain of x pounds. He gained 30 more pounds in the second month after more healt... | [
"Okay, let's try to solve this problem. Mr. Cruz went to the doctor and started following his advice to gain weight. After the first month, he gained x pounds. Then, in the second month, he gained 30 more pounds. Originally, he weighed 70 pounds. The question is asking for the value of x, given that his total weigh... | Mr. Cruz originally weighed 70 pounds. After the first month, he gained \( x \) pounds, making his weight \( 70 + x \). In the second month, he gained an additional 30 pounds, resulting in a total weight of \( (70 + x) + 30 \). The problem states his total weight after two months is 120 pounds. We set up the equation:
... |
metamathqa_20583 | oumi-ai/MetaMathQA-R1 | Out of the total number of flowers in the garden, which consists of 25 roses, 40 tulips, and 35 daisies, what percentage represents the flowers that are not roses? | [
"Okay, let's see. So the problem is about finding the percentage of flowers that are not roses in a garden. The garden has 25 roses, 40 tulips, and 35 daisies. Hmm. Alright, break it down step by step.",
"First, the total number of flowers. It must be roses plus tulips plus daisies. Yeah. So, let me calculate tha... | The total number of flowers in the garden is calculated by adding the number of roses, tulips, and daisies together:
\[
25 \text{ (roses)} + 40 \text{ (tulips)} + 35 \text{ (daisies)} = 100 \text{ flowers}
\]
The number of flowers that are not roses is found by subtracting the number of roses from the total number of ... |
metamathqa_20588 | oumi-ai/MetaMathQA-R1 | James has 3 more than x times the number of Oreos Jordan has. If there are 36 Oreos total, Jordan has 11. What is the value of unknown variable x? | [
"Okay, let's see. James has 3 more than x times the number of Oreos Jordan has. The total Oreos are 36, and Jordan has 11. We need to find x. Hmm, let's break it down step by step.",
"First, Jordan has 11 Oreos. James has 3 more than x times Jordan's Oreos. So, if I translate that into an equation, it would be Ja... | Jordan has 11 Oreos. James has 3 more than \( x \) times the number of Oreos Jordan has, which can be expressed as \( 11x + 3 \). The total number of Oreos is 36. Therefore, we set up the equation:
\[
11 + (11x + 3) = 36
\]
Simplifying the left side:
\[
11 + 3 + 11x = 36
\]
\[
14 + 11x = 36
\]
Subtracting 14 from ... |
metamathqa_20589 | oumi-ai/MetaMathQA-R1 | What is $6 \div 0.\overline{6}$? | [
"Okay, so I need to figure out what 6 divided by 0.\\overline{6} is. Hmm, repeating decimals can sometimes be tricky, but I remember there's a way to convert them into fractions. Let me think. The notation 0.\\overline{6} means that the 6 repeats infinitely after the decimal point, right? So it's 0.6666666..., repe... | To solve \(6 \div 0.\overline{6}\), we first convert the repeating decimal \(0.\overline{6}\) into a fraction.
Let \(x = 0.\overline{6}\). Then,
\[
10x = 6.\overline{6}
\]
Subtracting the original \(x\) from this equation:
\[
10x - x = 6.\overline{6} - 0.\overline{6}
\]
\[
9x = 6
\]
Solving for \(x\):
\[
x = \frac{6}{... |
metamathqa_20590 | oumi-ai/MetaMathQA-R1 | If there are 4 boat trips through the lake in one day and each trip can accommodate up to 12 people, how many people can the boat transport in a span of 2 days? | [
"First, I need to determine the number of people the boat can transport each day. The boat makes 4 trips per day, and each trip can carry up to 12 people.",
"To calculate the daily capacity, I multiply the number of trips by the capacity per trip:\n4 trips/day à 12 people/trip = 48 people/day.",
"Next, to find... | **Solution:**
1. **Daily Capacity:**
The boat makes 4 trips each day, and each trip can hold 12 people.
\[
4\,\text{trips/day} \times 12\,\text{people/trip} = 48\,\text{people/day}
\]
2. **Total for 2 Days:**
Over 2 days, the total number of people transported is:
\[
48\,\text{peo... |
metamathqa_20595 | oumi-ai/MetaMathQA-R1 | Amy's grandfather gave her $100 for her birthday. Amy bought 3 dolls, each of which cost $1. How much money does Amy have left? | [
"Okay, let's see. Amy got $100 from her grandfather for her birthday. Then she bought 3 dolls, each costing $1. The question is asking how much money she has left.",
"First, I need to figure out how much she spent in total on the dolls. Since each doll is $1 and she bought 3, that should be 3 times $1. Let me wri... | Amy received $100 and spent $3 on three dolls.
1. **Calculate total cost of dolls**:
3 dolls à $1/doll = $3
2. **Subtract the total cost from the initial amount**:
$100 â $3 = $97
**Answer**: Amy has $97 left. |
metamathqa_20602 | oumi-ai/MetaMathQA-R1 | James buys 5 packs of beef that are 4 pounds each. The price of beef is $x per pound. He paid 110. What is the value of unknown variable x? | [
"Okay, let's see here. James buys 5 packs of beef, each pack is 4 pounds. The price is $x per pound, and he paid a total of $110. I need to find the value of x. Hmm, let's break this down.",
"First, how much beef did James buy in total? If each pack is 4 pounds and he bought 5 packs, then the total weight is 5 ti... | James buys 5 packs of beef, each weighing 4 pounds. The total weight of the beef is calculated as follows:
\[
5 \text{ packs} \times 4 \text{ pounds per pack} = 20 \text{ pounds}
\]
The total cost of the beef is $110, and the price per pound is \( x \). The equation for the total cost is:
\[
20x = 110
\]
To find the ... |
metamathqa_20608 | oumi-ai/MetaMathQA-R1 | Luke takes fifty more than five times as many grape jelly beans as vanilla jelly beans. If there are 120 vanilla jelly beans, how many jelly beans are there in total? | [
"First, I need to determine the number of grape jelly beans Luke has based on the given relationship with vanilla jelly beans.",
"The problem states that the number of grape jelly beans is fifty more than five times the number of vanilla jelly beans. If there are 120 vanilla jelly beans, I can set up the equation... | Let's determine the total number of jelly beans step by step.
**Given:**
- Number of vanilla jelly beans = 120
- Grape jelly beans = 50 + 5 Ã vanilla jelly beans
**Step 1: Calculate Grape Jelly Beans**
\[
\text{Grape Jelly Beans} = 5 \times 120 + 50 = 600 + 50 = 650
\]
**Step 2: Calculate Total Jelly Beans**
\[
\te... |
metamathqa_20612 | oumi-ai/MetaMathQA-R1 | If Billie has 18 crayons and Bobbie has three times as many crayons as Billie, and Lizzie has half as many crayons as Bobbie, how many crayons does Lizzie have? | [
"Okay, let's take a look at this problem. So, the question is about figuring out how many crayons Lizzie has based on the information given about Billie and Bobbie. Let's break it down step by step.",
"First, the problem says, \"Billie has 18 crayons.\" Alright, so Billie's crayons = 18. Got that. Then it says, \... | Billie has 18 crayons. Bobbie has three times as many crayons as Billie, which is calculated as \( 3 \times 18 = 54 \). Lizzie has half as many crayons as Bobbie, so we divide Bobbie's count by 2: \( \frac{54}{2} = 27 \).
**Answer:** Lizzie has \(\boxed{27}\) crayons. |
metamathqa_20616 | oumi-ai/MetaMathQA-R1 | Scott wants to buy a skateboard. To make money, Scott sold berry smoothies for $3 a cup and cakes for $2 each. He sold 40 cups of smoothies and 18 cakes. How much money did he make? | [
"Okay, so Scott wants to buy a skateboard and he's selling stuff to make money. Let me try to figure out how much he made. Let's see, he sold berry smoothies for $3 a cup and cakes for $2 each. Alright, so first, I need to calculate how much he made from the smoothies and then from the cakes, and add them together.... | Scott sold berry smoothies for $3 a cup and cakes for $2 each. To find the total amount of money he made, we calculate the earnings from each item separately and then sum them up.
1. **Smoothies Calculation:**
- Each smoothie costs $3, and he sold 40 cups.
- Earnings from smoothies: \( 40 \times 3 = 120 \) dolla... |
metamathqa_20620 | oumi-ai/MetaMathQA-R1 | The scores on Trisha's first three tests were 88, 73 and 70. After two more tests, the mean score for all five tests was X. Each test score was less than 90, and all of Trisha's test scores were different integer values. List Trisha's five test scores from the greatest to the least, separated by commas.
If we know the ... | [
"Okay, let's try to figure out the value of X here. The problem states that Trisha's first three test scores were 88, 73, and 70. After two more tests, the mean of all five tests was X. Each test score is less than 90, all are different integers, and the answer provided lists her five test scores as 89, 88, 85, 73,... | Trisha's first three test scores were 88, 73, and 70. After two more tests, the mean score for all five tests was \( X \). The given five test scores in descending order are 89, 88, 85, 73, and 70.
To find \( X \), we calculate the mean of these five scores. First, we sum the scores:
\[
89 + 88 + 85 + 73 + 70 = 405
... |
metamathqa_20623 | oumi-ai/MetaMathQA-R1 | If Heidi can paint a wall in 45 minutes, what fractional part of the wall can she paint in 9 minutes? | [
"Alright, let's try to figure out this problem. So, Heidi can paint a wall in 45 minutes, and we need to find out what fraction of the wall she can paint in 9 minutes. Hmm, fractions and time. I guess this is a rate problem. Rate problems sometimes trip me up, but maybe I can handle it step by step.",
"First, let... | Heidi can paint a wall in 45 minutes, so her painting rate is \(\frac{1}{45}\) of the wall per minute. To find out how much she can paint in 9 minutes, we multiply her rate by the time:
\[
\text{Fraction painted} = \left(\frac{1}{45} \text{ per minute}\right) \times 9 \text{ minutes} = \frac{9}{45}
\]
Simplifying the... |
metamathqa_20631 | oumi-ai/MetaMathQA-R1 | Jeff has a shelter where he currently takes care of x cats. On Monday he found 2 kittens in a box and took them to the shelter. On Tuesday he found 1 more cat with a leg injury. On Wednesday 3 people adopted 2 cats each. How many cats does Jeff currently have in his shelter?
If we know the answer to the above question ... | [
"Okay, let me see. So Jeff has a shelter with x cats initially. Then on Monday he found 2 kittens and took them in. So that would be x + 2. Then on Tuesday he found another cat with a leg injury, so adding 1 more. So total cats now would be x + 2 + 1 = x + 3.",
"Now, on Wednesday, 3 people adopted 2 cats each. So... | Jeff starts with \( x \) cats.
- **Monday:** \( x + 2 \) cats (found 2 kittens).
- **Tuesday:** \( x + 2 + 1 = x + 3 \) cats (found 1 more cat).
- **Wednesday:** \( x + 3 - 6 = x - 3 \) cats (3 people adopted 2 cats each, totaling 6 cats).
Given the final number of cats is 17:
\[
x - 3 = 17
\]
Solving for ... |
metamathqa_20635 | oumi-ai/MetaMathQA-R1 | If Rikki sells his poems for $.01 per word and can write 25 words of poetry in 5 minutes, how much can he expect to earn if he has 2 hours to write poetry? | [
"First, I'll determine Rikki's writing speed. He writes 25 words in 5 minutes. To find his rate in minutes per word, I divide the time by the number of words:",
"25 words / 5 minutes = 5 words per minute.",
"Next, I need to calculate how many words he can write in 2 hours. Since there are 60 minutes in an hour,... | **Solution:**
1. **Determine Rikki's writing rate:**
- He writes 25 words in 5 minutes.
- Words per minute:
\[
\frac{25\ \text{words}}{5\ \text{minutes}} = 5\ \text{words per minute}
\]
2. **Calculate total words written in 2 hours** (which is 120 minutes):
\[
5\ \text{words/minute} \ti... |
metamathqa_20637 | oumi-ai/MetaMathQA-R1 | If a garden produced 237 potatoes and 60 fewer cucumbers than the number of potatoes, as well as twice as many peppers as the number of cucumbers, what is the total number of vegetables produced by the garden? | [
"Okay, so I need to find the total number of vegetables produced by the garden. The problem says the garden produced 237 potatoes. Then there are cucumbers, which are 60 fewer than the number of potatoes. Hmm, so cucumbers would be potatoes minus 60. Let me write that down.",
"Potatoes = 237",
"Cucumbers = Pota... | The garden produced 237 potatoes. The number of cucumbers is 60 fewer than the number of potatoes, which is calculated as follows:
\[
\text{Cucumbers} = 237 - 60 = 177
\]
The number of peppers is twice the number of cucumbers:
\[
\text{Peppers} = 2 \times 177 = 354
\]
To find the total number of vegetables, we add ... |
metamathqa_20638 | oumi-ai/MetaMathQA-R1 | What is the total out-of-pocket cost for John to get a new seeing-eye dog, considering the $150 adoption fee for an untrained dog, 12 weeks of training costing $250 per week, and certification costing $3000 with 90% coverage from insurance? | [
"Alright, let's break down John's expenses for getting a new seeing-eye dog. First, I need to identify all the costs involved and then figure out how much he has to pay out of pocket, especially considering the insurance coverage for certification.",
"Starting with the adoption fee. The problem states it's $150 f... | John's total out-of-pocket cost is calculated by summing all non-covered expenses and the portion of the certification cost not covered by insurance:
- **Adoption fee**: $150 (no insurance coverage)
- **Training**: 12 weeks à $250/week = $3,000 (no insurance coverage)
- **Certification**: $3,000 Ã (100% - 90% co... |
metamathqa_20645 | oumi-ai/MetaMathQA-R1 | Tom has a job mowing lawns around his neighborhood. Each month he spends $17 on gas and mows 3 lawns, charging $x per lawn mowed. Last month he also made extra money pulling weeds for $10. Tom earned 29 profit last month. What is the value of unknown variable x? | [
"Okay, let's try to figure out what Tom charges per lawn. So, the problem says that Tom mows lawns and last month he had a profit of $29. He spends $17 on gas each month, mows 3 lawns, charges $x per lawn, and he also made an extra $10 pulling weeds. I need to find out what x is.",
"First, profit is usually calcu... | Tom's profit is calculated as his total income minus his expenses. His income comes from mowing 3 lawns at $x per lawn and an extra $10 from pulling weeds. His expense is $17 for gas. The equation for his profit is:
\[
29 = (3x + 10) - 17
\]
Simplifying the equation step-by-step:
1. Combine the constants:
\[
2... |
metamathqa_20646 | oumi-ai/MetaMathQA-R1 | The Gauss family has three boys aged $7,$ a girl aged X and a boy aged $15. The mean (average) of the ages of the children is 10. What is the value of unknown variable X? | [
"Okay, let's see. The problem says the Gauss family has three boys aged 7, a girl aged X, and a boy aged 15. The mean age of the children is 10. We need to find the value of X.",
"First, let me recall that the mean (average) is calculated by adding up all the values and then dividing by the number of values. So, ... | The Gauss family has three boys aged 7, a girl aged \( X \), and a boy aged 15. The mean age of the children is 10. To find \( X \):
1. Calculate the total number of children: \( 3 \) boys + \( 1 \) girl + \( 1 \) boy = \( 5 \) children.
2. The mean age is 10, so the total sum of ages is \( 5 \times 10 = 50 \).
3. Sum... |
metamathqa_20653 | oumi-ai/MetaMathQA-R1 | In the cafeteria, Athena wants to buy snacks for her friends. She bought 3 sandwiches at $3 each and 2 fruit drinks at $2.5 each. How much did she spend in all? | [
"Okay, let me see. Athena bought some sandwiches and fruit drinks, right? So the problem is asking how much she spent in total. Let me start by figuring out the cost of each item first.",
"First, the sandwiches. She bought 3 sandwiches, and each one costs $3. Hmm, to find the total cost for the sandwiches, I shou... | Athena purchased 3 sandwiches at $3 each and 2 fruit drinks at $2.5 each.
**Calculations:**
- Cost of sandwiches: \( 3 \times \$3 = \$9 \)
- Cost of fruit drinks: \( 2 \times \$2.5 = \$5 \)
- Total cost: \( \$9 + \$5 = \$14 \)
**Answer:** Athena spent a total of \(\boxed{14}\) dollars. |
metamathqa_20658 | oumi-ai/MetaMathQA-R1 | If 37 students played kickball on Wednesday and 9 fewer students played on Thursday, what is the total number of students who played kickball on both days? | [
"Okay, let's see. The problem says that 37 students played kickball on Wednesday, and then 9 fewer students played on Thursday. We need to find the total number of students who played on both days. Hmm. So first, Wednesday has 37 students. Then Thursday had 9 fewer than Wednesday.",
"Let me break it down step by ... | On Wednesday, 37 students played kickball. On Thursday, there were 9 fewer students than on Wednesday, which is calculated as follows:
\[
37 - 9 = 28
\]
To find the total number of students who played on both days, we add the number of students from Wednesday and Thursday:
\[
37 + 28 = 65
\]
Thus, the total number ... |
metamathqa_20661 | oumi-ai/MetaMathQA-R1 | If Annie initially had $120 and she bought 8 hamburgers for $4 each and 6 milkshakes for $3 each, how much money does she have left in dollars? | [
"Okay, let me try to figure out how much money Annie has left after buying those hamburgers and milkshakes. Hmm, she started with $120. First, I need to calculate how much she spent on hamburgers. She bought 8 of them, each costing $4. So, 8 times 4 is... 8 times 4. Let me check that. 8 multiplied by 4. 8, 16, 24, ... | Annie initially has \$120.
- **Cost of Hamburgers**: 8 hamburgers à \$4 each = \$32
- **Cost of Milkshakes**: 6 milkshakes à \$3 each = \$18
**Total Spent**: \$32 + \$18 = \$50
**Money Left**: \$120 â \$50 = **\$70**
Annie has **\$70** left. |
metamathqa_20663 | oumi-ai/MetaMathQA-R1 | Natalia, the librarian, wants to organize the books in the library. She has a total of 145 novels, 271 comics, 419 documentaries, and 209 albums. She plans to store them in crates that can hold 9 items each. How many crates will Natalia need to store all the books? | [
"First, I need to determine the total number of books Natalia wants to store. She has novels, comics, documentaries, and albums. To find the total, I will add up the quantities of each type:",
"145 novels + 271 comics + 419 documentaries + 209 albums = ?",
"Let's add these numbers step by step.",
"First, comb... | To determine how many crates Natalia needs, follow these steps:
1. **Calculate the total number of books:**
\[
145 \text{ (novels)} + 271 \text{ (comics)} + 419 \text{ (documentaries)} + 209 \text{ (albums)} = 1,044 \text{ books}
\]
2. **Determine the number of crates needed:**
Each crate holds 9 ... |
metamathqa_20666 | oumi-ai/MetaMathQA-R1 | What is the total amount of money Vicente spent if he bought 5 kilograms of rice at $2 per kilogram and 3 pounds of meat at $5 per pound? | [
"Okay, let me figure out how much Vicente spent in total. He bought two things: rice and meat. For the rice, it's 5 kilograms at $2 per kilogram. Hmm, so I need to calculate the cost for the rice first.",
"Alright, 5 kilograms multiplied by $2 per kilogram. Let me write that down: 5 kg * $2/kg. The kilograms unit... | Vicente bought 5 kilograms of rice at $2 per kilogram and 3 pounds of meat at $5 per pound. To find the total amount spent, we calculate the cost for each item separately and then sum them up.
For the rice:
\[
5 \, \text{kg} \times 2 \, \frac{\$}{\text{kg}} = 5 \times 2 = \$10
\]
For the meat:
\[
3 \, \text{lb} \time... |
metamathqa_20668 | oumi-ai/MetaMathQA-R1 | If Mr. Mayer purchased Corgi dogs for $1000 each and plans to sell them with a 30% profit, how much should his friend pay if they want to buy two dogs? | [
"Okay, so Mr. Mayer bought these Corgi dogs for $1000 each, right? And he wants to sell them with a 30% profit. His friend wants to buy two dogs. Let me figure out how much the friend should pay.",
"First, I need to understand what a 30% profit means. If he bought each dog for $1000, then the cost price is $1000 ... | Mr. Mayer buys each Corgi dog for $1000 and aims for a 30% profit.
1. **Profit per dog**:
\( 30\% \times \$1000 = 0.30 \times 1000 = \$300 \).
2. **Selling price per dog**:
\( \$1000 + \$300 = \$1300 \).
3. **Cost for two dogs**:
\( 2 \times \$1300 = \$2600 \).
**Answer**: His friend should pa... |
metamathqa_20673 | oumi-ai/MetaMathQA-R1 | If Djibo is currently 17 years old and five years ago, the sum of his age and his sister's age was 35, how old is Djibo's sister today? | [
"Okay, let's try to figure out how old Djibo's sister is today. Hmm, so Djibo is 17 now. The problem says that five years ago, the sum of his age and his sister's age was 35. Alright, let's break this down step by step.",
"First, let's find out how old Djibo was five years ago. Since he is 17 now, subtracting fiv... | Djibo is currently 17 years old. Five years ago, his age was \(17 - 5 = 12\). At that time, the sum of his age and his sister's age was 35. Let \(S\) be Djibo's sister's current age. Five years ago, her age was \(S - 5\).
The equation for the sum of their ages five years ago is:
\[
12 + (S - 5) = 35
\]
Simplifying t... |
metamathqa_20680 | oumi-ai/MetaMathQA-R1 | If a factory produces 90 refrigerators per hour and 70 more coolers than refrigerators per hour, how many products did the factory produce in total over a span of 5 days, working 9 hours each day? | [
"First, I need to determine the number of coolers the factory produces per hour. It's given that the factory produces 90 refrigerators per hour and 70 more coolers than refrigerators. Therefore, the hourly production of coolers is:\n\\[ 90 \\text{ refrigerators/hour} + 70 = 160 \\text{ coolers/hour} \\]",
"Next, ... | To determine the total number of products the factory produced over 5 days, follow these steps:
1. **Calculate the number of coolers produced per hour:**
\[
\text{Coolers per hour} = \text{Refrigerators per hour} + 70 = 90 + 70 = 160 \text{ coolers/hour}
\]
2. **Calculate the total products produced per hour... |
metamathqa_20682 | oumi-ai/MetaMathQA-R1 | Terry's mom brought home 4 different colored dogs from the shelter. The brown dog weighs 4 pounds. The black dog weighs 1 pound more than the brown dog. The white dog weighs twice as much as the brown dog. The grey dog weighs 2 pounds less than the black dog. What's the average weight of all the dogs? | [
"Okay, let me try to figure out the average weight of all the dogs. Hmm, so there are four dogs: brown, black, white, and grey. Each one has a different color and different weight. Let me start by writing down what I know.",
"First, the brown dog weighs 4 pounds. That's straightforward. So brown = 4 lbs.",
"Nex... | The brown dog weighs 4 pounds. The black dog weighs 1 pound more than the brown dog, so the black dog weighs \(4 + 1 = 5\) pounds. The white dog weighs twice as much as the brown dog, so the white dog weighs \(2 \times 4 = 8\) pounds. The grey dog weighs 2 pounds less than the black dog, so the grey dog weighs \(5 - 2 ... |
metamathqa_20683 | oumi-ai/MetaMathQA-R1 | Malcolm brushes his teeth for 2 minutes after breakfast, lunch and dinner. After x days, how many hours does he spend brushing his teeth?
If we know the answer to the above question is 3, what is the value of unknown variable x? | [
"Okay, so the problem says Malcolm brushes his teeth for 2 minutes after each mealâbreakfast, lunch, and dinner. So that means three times a day, right? Each brushing session is 2 minutes. After x days, how many hours does he spend brushing his teeth? And then we know the answer is 3 hours, so we need to find x. ... | Malcolm brushes his teeth for 2 minutes after each of the three meals (breakfast, lunch, and dinner) each day. This means he brushes his teeth for \(2 \times 3 = 6\) minutes per day.
To find the total time spent brushing over \(x\) days in hours, we first calculate the total minutes:
\[ 6x \text{ minutes} \]
Convert... |
metamathqa_20684 | oumi-ai/MetaMathQA-R1 | The complement of an angle is $5^{\circ}$ more than four times the angle. What is the number of degrees in the measure of the angle? | [
"Okay, so I need to solve this problem: \"The complement of an angle is 5 degrees more than four times the angle. What is the number of degrees in the measure of the angle?\" Hmm, let me break it down step by step.",
"First, let me remember what a complement of an angle is. If I'm not mistaken, two angles are com... | Let the angle be \(\theta\). The complement of the angle is \(90^\circ - \theta\). According to the problem, the complement is \(5^\circ\) more than four times the angle. This gives us the equation:
\[
90 - \theta = 4\theta + 5
\]
Solving for \(\theta\):
1. Add \(\theta\) to both sides:
\[
90 = 5\theta + 5
... |
metamathqa_20690 | oumi-ai/MetaMathQA-R1 | Jenny is trying to convince her cat to walk on a leash. The cat spends twenty minutes resisting. Then Jenny coaxes the cat to walk 64 feet at a rate of 8 feet/minute. How many minutes does this whole process take? | [
"Okay, let's tackle this problem. So, Jenny is trying to get her cat to walk on a leash, right? The cat spends twenty minutes resisting first. Then after that, Jenny coaxes the cat to walk 64 feet at a rate of 8 feet per minute. The question is asking how many minutes the whole process takes. Alright, so I need to ... | Jenny's cat resists for 20 minutes initially. After that, the cat walks 64 feet at a rate of 8 feet per minute. To find the total time, we need to calculate the time spent walking and add it to the resisting time.
1. **Resisting time**: The cat resists for 20 minutes.
2. **Walking time**:
- Distance walked: 64 fee... |
metamathqa_20691 | oumi-ai/MetaMathQA-R1 | In a span of 2 hours, Jim ran 16 miles while Frank ran 20 miles. How many more miles did Frank run than Jim in one hour? | [
"Okay, let's see here. The problem is asking how many more miles Frank ran than Jim in one hour. Both of them ran for a span of 2 hours, right? So Jim ran 16 miles in those 2 hours, and Frank ran 20 miles in the same time. Hmm, so first, maybe I need to figure out their speeds, like miles per hour, and then compare... | To determine how many more miles Frank ran than Jim in one hour, follow these steps:
1. **Calculate Jim's speed**:
\[
\text{Jim's speed} = \frac{16 \text{ miles}}{2 \text{ hours}} = 8 \text{ mph}
\]
2. **Calculate Frank's speed**:
\[
\text{Frank's speed} = \frac{20 \text{ miles}}{2 \text{ hours}} =... |
metamathqa_20693 | oumi-ai/MetaMathQA-R1 | If John has 3 children and he bought 2 notebooks for each child, while his wife bought 5 notebooks for each child, what is the total number of notebooks they bought for their children? | [
"Okay, so John has 3 children. He bought 2 notebooks for each child. His wife bought 5 notebooks for each child. I need to find the total number of notebooks they bought together.",
"Let me break this down. First, let's figure out how many notebooks John bought. He has 3 children, and he gave each one 2 notebooks... | John and his wife bought a total of 21 notebooks for their children.
**Step-by-Step Explanation:**
1. **Calculate John's contribution:** 3 children à 2 notebooks each = 6 notebooks.
2. **Calculate his wife's contribution:** 3 children à 5 notebooks each = 15 notebooks.
3. **Total notebooks:** 6 (John) + 15 (wife) =... |
metamathqa_20707 | oumi-ai/MetaMathQA-R1 | Romeo buys five bars of chocolate at $5 each and sells these chocolates for a total of $90. If he uses packaging material that costs him $2 for each bar of chocolate, how much profit does he make for all the chocolates he sells? | [
"Okay, let's see here. Romeo buys five bars of chocolate. Each bar costs him $5. Hmm, so first I need to figure out how much he spends in total on buying the chocolates. Since he's buying five at $5 each, that should be 5 multiplied by 5, right? Let me calculate that out. 5 times 5 equals 25. So his total cost for ... | Romeo buys five bars of chocolate at $5 each, so the total purchase cost is calculated as:
\[
5 \text{ bars} \times \$5/\text{bar} = \$25
\]
He also incurs packaging costs of $2 for each bar, so the total packaging cost is:
\[
5 \text{ bars} \times \$2/\text{bar} = \$10
\]
Adding these costs together gives the total ... |
metamathqa_20708 | oumi-ai/MetaMathQA-R1 | Phillip's mother asked him to go to the supermarket to buy some things and gave him $95, so he spent $x on oranges, $25 on apples and $6 on candy. He has 50 money left. What is the value of unknown variable x? | [
"Okay, let's see. Phillip's mom gave him $95, and he went to buy oranges, apples, and candy. He spent some money on oranges, which is $x, $25 on apples, and $6 on candy. After all that, he has $50 left. I need to find out how much he spent on oranges, which is the value of x.",
"First, let me make sure I understa... | Phillip's mother gave him $95. He spent $x on oranges, $25 on apples, and $6 on candy. After these purchases, he had $50 left. To find the value of \( x \), we set up the equation based on the total money spent and the remaining money:
\[
95 - (x + 25 + 6) = 50
\]
First, we compute the sum inside the parentheses:
\[... |
metamathqa_20715 | oumi-ai/MetaMathQA-R1 | Every Halloween one house in the neighborhood gives out toothbrushes instead of candy, so it always gets egged and covered in toilet paper. If the owner spends 15 seconds cleaning up each egg and 30 minutes cleaning up each roll of toilet paper, how long (in minutes) will they have to spend cleaning up 60 eggs and 7 ro... | [
"Okay, so I need to figure out how long the owner will spend cleaning up 60 eggs and 7 rolls of toilet paper. Let me take this step by step.",
"First, let's break down the problem. The owner spends different amounts of time cleaning each type of mess: 15 seconds per egg and 30 minutes per roll of toilet paper. Th... | The owner spends 15 seconds cleaning up each egg and 30 minutes cleaning up each roll of toilet paper. To find the total time spent cleaning up 60 eggs and 7 rolls of toilet paper:
1. **Time spent cleaning eggs:**
- Each egg takes 15 seconds, which is \( \frac{15}{60} = 0.25 \) minutes.
- For 60 eggs: \( 60 \tim... |
metamathqa_20717 | oumi-ai/MetaMathQA-R1 | If James pays $100 for the first 100 channels of his cable program and the next 100 channels cost half that amount, and he splits the cost evenly with his roommate, how much did James pay in total? | [
"Okay, let's tackle this problem. So James is paying for cable channels, right? The first 100 channels cost $100, and the next 100 channels cost half of that amount. He's splitting the cost with his roommate, and we need to find out how much James paid in total.",
"First, let me parse the information step by step... | James pays $100 for the first 100 channels. The next 100 channels cost half of that amount, which is $50.
1. Cost for the first 100 channels: $100
2. Cost for the next 100 channels: $50 (which is half of $100)
3. Total cost before splitting: $100 + $50 = $150
4. Splitting the cost evenly with his roommate: $150 / 2 =... |
metamathqa_20723 | oumi-ai/MetaMathQA-R1 | Rollo has 3 guinea pigs, the first guinea pig eats 2 cups of food, the second guinea pig eats twice as much as the first one, and the third guinea pig eats 3 cups more than the second one. How many cups of food does Rollo need to feed all his Guinea pigs? | [
"Okay, let's see. Rollo has three guinea pigs. The first one eats 2 cups of food. The second one eats twice as much as the first one. And the third one eats 3 cups more than the second one. I need to find out how many cups of food Rollo needs in total for all three.",
"Alright, step by step. Let me start with the... | To determine the total cups of food Rollo needs for his three guinea pigs, let's calculate each one's consumption step by step:
1. **First Guinea Pig**: Eats **2 cups**.
2. **Second Guinea Pig**: Eats twice as much as the first
\( 2 \text{ cups} \times 2 = 4 \text{ cups} \)
3. **Third Guinea Pig**: Eats 3 cups mo... |
metamathqa_20724 | oumi-ai/MetaMathQA-R1 | If Haley weighs 103 pounds and Verna weighs 17 pounds more than Haley, and Verna weighs half as much as Sherry, what is the total weight of Verna and Sherry together? | [
"Okay, let me try to tackle this weight problem step by step. So, first, the question is asking about the total weight of Verna and Sherry together. To find that, I need to figure out each of their individual weights first. Let me start by breaking down the information provided.",
"First, Haley weighs 103 pounds.... | Haley weighs 103 pounds. Verna weighs 17 pounds more than Haley, so we calculate Verna's weight as follows:
\[
103 + 17 = 120 \text{ pounds}
\]
Verna weighs half as much as Sherry, which means Sherry's weight is twice Verna's weight:
\[
120 \times 2 = 240 \text{ pounds}
\]
To find the total weight of Verna and Sherry... |
metamathqa_20732 | oumi-ai/MetaMathQA-R1 | If Jake decides to go to the beach for a fun day and it takes him 2 hours to drive there and 2 hours to drive back, how much time does the entire trip take if he spends 2.5 times as long at the beach as his total driving time? | [
"Okay, let's see here. So Jake is going to the beach, right? And the problem is asking how much time the entire trip takes. Alright, so I need to figure out the total time he spends driving to the beach, driving back, and the time he spends at the beach. Then add them all together. Let me break it down step by step... | Jake's total driving time to the beach and back is calculated as follows:
- Driving to the beach: 2 hours
- Driving back: 2 hours
- Total driving time: \(2 + 2 = 4\) hours
The time spent at the beach is 2.5 times the total driving time:
- Time at the beach: \(2.5 \times 4 = 10\) hours
The total time for the entire tr... |
metamathqa_20743 | oumi-ai/MetaMathQA-R1 | Determine the value of x such that the vectors $\begin{pmatrix} 2 \\ 5 \end{pmatrix}$ and $\begin{pmatrix} x \\ -3 \end{pmatrix}$ are perpendicular to each other. | [
"Alright, let's see here. I need to find the value of x that makes these two vectors perpendicular. Okay, vectors are perpendicular if their dot product is zero, right? Yeah, I remember that the dot product being zero means they form a right angle. So the dot product of these two vectors should equal zero.",
"The... | To determine the value of \( x \) such that the vectors \(\begin{pmatrix} 2 \\ 5 \end{pmatrix}\) and \(\begin{pmatrix} x \\ -3 \end{pmatrix}\) are perpendicular to each other, we need to ensure their dot product is zero.
The dot product of the vectors \(\begin{pmatrix} 2 \\ 5 \end{pmatrix}\) and \(\begin{pmatrix} x \... |
metamathqa_20766 | oumi-ai/MetaMathQA-R1 | Jenny makes and freezes pans of lasagna all week so she can sell them at the market on the weekend. It costs Jenny $10.00 in ingredients to make 1 pan of lasagna. If she makes and sells 20 pans over the weekend at $25.00 apiece, how much does she make after factoring in expenses? | [
"Okay, let's see here. I need to figure out how much Jenny makes from selling her lasagna after accounting for the expenses. Let me start by breaking down the problem step by step.",
"First, the cost for ingredients per pan is $10.00. Jenny makes 20 pans of lasagna. So, to find the total cost, I should multiply t... | Jenny's cost for ingredients per pan of lasagna is $10.00. She makes 20 pans, so the total cost is calculated as follows:
\[
\text{Total cost} = 10.00 \, \text{dollars/pan} \times 20 \, \text{pans} = 200 \, \text{dollars}
\]
Jenny sells each pan for $25.00. Selling 20 pans results in total revenue:
\[
\text{Total reve... |
metamathqa_20767 | oumi-ai/MetaMathQA-R1 | What is the total amount that Adam paid for his shopping, including 3 sandwiches priced at $3 each and a bottle of water priced at $2? | [
"Okay, let's see. Adam bought some stuff and I need to figure out how much he spent in total. Hmm. Alright, starting with the sandwiches. It says he bought 3 sandwiches, each priced at $3. So, three times three dollars. Let me write that down. 3 sandwiches times $3 each. That should be 3 multiplied by 3, which is $... | Adam bought 3 sandwiches priced at $3 each and a bottle of water priced at $2. To find the total amount he paid, we calculate the cost of the sandwiches and the bottle of water separately and then sum them up.
The cost of the sandwiches is:
\[
3 \text{ sandwiches} \times \$3 \text{ each} = 3 \times 3 = \$9
\]
The cos... |
metamathqa_20770 | oumi-ai/MetaMathQA-R1 | If Silvia wants to purchase a new guitar online, with a suggested retail price of $1000, and there are two options available. Guitar Center offers a 15% discount but charges a $100 shipping fee, while Sweetwater offers a 10% discount with free shipping. How much money will she save by purchasing from the cheaper store ... | [
"Okay, let me try to figure out how much Silvia will save if she buys the guitar from the cheaper store. Hmm, so there are two stores: Guitar Center and Sweetwater. The guitar has a suggested retail price of $1000. Each store offers a different discount and shipping deal.",
"First, I need to calculate the total c... | Silvia will save **$50** by purchasing the guitar from Sweetwater, the cheaper store, compared to Guitar Center.
**Step-by-Step Breakdown:**
1. **Guitar Center Total Cost:**
- 15% discount on $1000: \( 1000 \times 0.15 = 150 \)
- Discounted price: \( 1000 - 150 = 850 \)
- Total including shipping: \( 850 + 1... |
metamathqa_20776 | oumi-ai/MetaMathQA-R1 | If Maisie dropped off 33 flyers while walking down the shorter left street, and Donna dropped off five more than twice as many flyers as Maisie while riding her bicycle down the long right street, how many flyers did Donna drop off? | [
"Okay, so let me figure out this problem step by step. First, let's read it again carefully.",
"\"Maisie dropped off 33 flyers while walking down the shorter left street, and Donna dropped off five more than twice as many flyers as Maisie while riding her bicycle down the long right street. How many flyers did Do... | Maisie dropped off 33 flyers. Donna dropped off five more than twice as many flyers as Maisie. To find the number of flyers Donna dropped off, we calculate:
\[
\text{Donna's flyers} = (2 \times \text{Maisie's flyers}) + 5
\]
Substituting the given value of Maisie's flyers:
\[
\text{Donna's flyers} = (2 \times 33) + ... |
metamathqa_20780 | oumi-ai/MetaMathQA-R1 | Jack is mad at his neighbors for blasting Taylor Swift all night, so he slashes three of their tires and smashes their front window. If the tires cost $250 each and the window costs $700, how much will Jack have to pay for the damages? | [
"First, I need to determine the total cost of the damages Jack caused. According to the problem, he slashed three tires, each costing $250. To find the total cost for the tires, I multiply the number of tires by the cost per tire:",
"3 tires à $250 per tire = $750",
"Next, there's the cost of the smashed front... | **Solution:**
1. **Calculate the cost for the damaged tires:**
\[
3 \text{ tires} \times \$250 \text{ per tire} = \$750
\]
2. **Add the cost of the smashed window:**
\[
\$750 + \$700 = \$1,\!450
\]
**Final Answer:** \(\boxed{\$1,\!450}\) |
metamathqa_20784 | oumi-ai/MetaMathQA-R1 | What is the number of square meters in the area of a circle with diameter 4 meters? Express your answer in terms of $\pi$. | [
"Okay, so the question is asking for the area of a circle that has a diameter of 4 meters, and to express the answer in terms of Ï. Hmm, let me think. When calculating the area of a circle, the formula is A equals Ï times the radius squared, right? So A = Ïr².",
"First, they gave me the diameter, which is 4 m... | The question asks for the area of a circle with a diameter of 4 meters, expressed in terms of Ï.
First, we find the radius by dividing the diameter by 2:
\[
r = \frac{d}{2} = \frac{4\ \text{meters}}{2} = 2\ \text{meters}
\]
Next, we use the formula for the area of a circle, \( A = \pi r^2 \). Substituting the radiu... |
metamathqa_20786 | oumi-ai/MetaMathQA-R1 | A new book sold 15 copies at the bookstore on Wednesday. On Thursday the book sold three times that many copies. On Friday the book sold one-fifth the number of copies it did on Thursday. How many copies of the book did the bookstore sell by Friday? | [
"Okay, let me try to figure out this problem. So, the question is about a bookstore selling copies of a new book over three days: Wednesday, Thursday, and Friday. We need to find out how many copies they sold by Friday. Let's take it step by step.",
"First, on Wednesday, the book sold 15 copies. That part seems s... | The bookstore sold 15 copies of the book on Wednesday. On Thursday, they sold three times that amount, which is \(15 \times 3 = 45\) copies. On Friday, they sold one-fifth of the number of copies sold on Thursday, which is \(\frac{45}{5} = 9\) copies.
To find the total number of copies sold by Friday, we add the sale... |
metamathqa_20787 | oumi-ai/MetaMathQA-R1 | A guy goes to the tool shop and buys 5 sets of drill bits. Each set cost 6 dollars. He then pays 10% tax on the order. What was the total amount he paid? | [
"Okay, let's try to figure out this problem step by step. First, the guy buys 5 sets of drill bits, and each set costs $6. So, to find the total cost before tax, I need to multiply the number of sets by the cost per set. Let's write that down: 5 sets * $6 per set. Hmm, 5 times 6 is 30. So, the subtotal before tax i... | The customer purchased 5 sets of drill bits at $6 each, totaling $30 before tax. Calculating the 10% tax on $30 gives $3. Adding the tax to the subtotal results in a final amount of **$33**.
**Step-by-Step Explanation:**
1. **Total cost before tax:** 5 sets à $6/set = $30
2. **Tax amount:** 10% of $30 = $30 Ã 0.10... |
metamathqa_20791 | oumi-ai/MetaMathQA-R1 | Your mom bought a refrigerator and a washing machine. Note that the price of the refrigerator is $4275 and the price of the washing machine is $1490 less than the price of the refrigerator. Calculate the total price of the purchases in dollars. | [
"Alright, let's see here. My mom bought a refrigerator and a washing machine. I need to find the total price. The problem says the refrigerator is $4275. The washing machine is $1490 less than the refrigerator. Hmm, okay, so first I should figure out how much the washing machine costs.",
"So, the refrigerator is ... | The price of the refrigerator is $4275. The price of the washing machine is $1490 less than the price of the refrigerator.
First, we calculate the price of the washing machine:
\[
4275 - 1490 = 2785
\]
Next, we find the total price by adding the price of the refrigerator and the washing machine:
\[
4275 + 2785 = 706... |
metamathqa_20792 | oumi-ai/MetaMathQA-R1 | Carla needs to dry-clean 80 pieces of laundry by noon. If she starts work at 8 AM, how many pieces of laundry does she need to clean per hour? | [
"Okay, so Carla has to dry-clean 80 pieces of laundry by noon, and she starts working at 8 AM. The question is asking how many pieces she needs to clean per hour. Hmm, let's break this down.",
"First, I need to figure out the total time she has from 8 AM until noon. Noon is 12 PM, right? So from 8 AM to 12 PM, th... | Carla starts working at 8 AM and needs to dry-clean 80 pieces of laundry by noon. To determine how many pieces she needs to clean per hour, we first calculate the total time she has. From 8 AM to 12 PM is 4 hours.
Next, we divide the total number of laundry pieces by the number of hours:
\[
\frac{80 \text{ pieces}}{4... |
metamathqa_20796 | oumi-ai/MetaMathQA-R1 | Sam bought a heavy safe with a combination lock. There were four rows with twenty gold bars per row arranged in the safe. If each gold bar is worth $20000, calculate the total worth of the gold bars in the safe. | [
"First, determine the total number of gold bars in the safe. There are four rows, each containing twenty gold bars.",
"Total gold bars = Number of rows à Gold bars per row\nTotal gold bars = 4 à 20 = 80",
"Next, calculate the total worth by multiplying the total number of gold bars by the value of each bar.",... | **Solution:**
1. **Find the total number of gold bars:**
There are 4 rows with 20 gold bars per row.
\[
\text{Total gold bars} = 4 \text{ rows} \times 20 \text{ bars/row} = 80 \text{ bars}
\]
2. **Calculate the total worth:**
Each gold bar is worth \$20,000.
\[
\text{Total worth} = 80 \... |
metamathqa_20797 | oumi-ai/MetaMathQA-R1 | If the teacher divided the students into four groups, with one group having 5 students, another group having 8 students, and the third group having 7 students, and there were a total of 24 students, how many students were in the fourth group? | [
"First, I need to determine the number of students in the fourth group. The teacher divided the students into four groups, and the total number of students is 24. Three of the groups have known sizes: 5, 8, and 7 students each.",
"To find the number of students in the fourth group, I can start by adding the numbe... | **Solution:**
To find the number of students in the fourth group, follow these steps:
1. **Add the number of students in the three known groups:**
\[
5 \ (\text{group 1}) + 8 \ (\text{group 2}) + 7 \ (\text{group 3}) = 20 \ \text{students}
\]
2. **Subtract the total from the overall number of students to ... |
metamathqa_20812 | oumi-ai/MetaMathQA-R1 | If 5/8 of the shoppers at All Goods Available store prefer to use the express lane instead of the check-out line on weekends, and there are a total of 480 shoppers in the store, what is the number of shoppers who choose to pay at the check-out lane? | [
"Okay, let's see. The problem says that 5/8 of the shoppers prefer the express lane instead of the check-out line on weekends. There are 480 shoppers in total, and we need to find out how many choose to pay at the check-out lane.",
"First, I need to understand the fractions here. If 5/8 prefer the express lane, t... | To determine the number of shoppers who use the check-out lane, note that 5/8 prefer the express lane. Therefore, the fraction preferring the check-out lane is:
\[
1 - \frac{5}{8} = \frac{3}{8}
\]
Next, calculate \(\frac{3}{8}\) of 480 shoppers:
\[
\frac{3}{8} \times 480 = \frac{3 \times 480}{8} = \frac{1440}{8} = 1... |
metamathqa_20814 | oumi-ai/MetaMathQA-R1 | If the teacher divided the students into four groups, with one group having 5 students, another group having 8 students, and the third group having 7 students, and there were a total of 24 students, how many students were in the fourth group? | [
"Okay, let me try to figure this problem out. So the teacher divided the students into four groups. Each group has a different number of students. We know three of the groups have 5, 8, and 7 students respectively. The total number of students is 24. We need to find out how many students are in the fourth group.",
... | The total number of students is 24. The known groups have 5, 8, and 7 students. Adding these:
5 + 8 + 7 = 20.
Subtracting this sum from the total gives:
24 - 20 = 4.
**Answer:** The fourth group has ð students. |
metamathqa_20816 | oumi-ai/MetaMathQA-R1 | If Farmer Red has three milk cows named Bess, Brownie, and Daisy, and Bess produces two pails of milk daily, Brownie produces three times that amount, and Daisy produces one pail more than Bess, how many pails of milk does Farmer Red receive from them in a week? | [
"Okay, so Farmer Red has three cows: Bess, Brownie, and Daisy. Each of them produces a certain amount of milk every day, and I need to figure out how many pails of milk Farmer Red gets in total from them in a week. Let me try to break this down step by step.",
"First, let's get the daily production of each cow. T... | Farmer Red has three cows: Bess, Brownie, and Daisy. Each cow's daily milk production is as follows:
- Bess produces 2 pails of milk daily.
- Brownie produces three times Bess's amount, which is \(3 \times 2 = 6\) pails daily.
- Daisy produces one pail more than Bess, which is \(2 + 1 = 3\) pails daily.
To find the t... |
metamathqa_20834 | oumi-ai/MetaMathQA-R1 | If Lizzy initially had $30 and loaned out $15 to her friend, how much money will Lizzy have if her friend returns the money with a 20% interest? | [
"First, I need to determine the total amount Lizzy will receive from her friend when the loan plus interest is repaid.",
"Lizzy loaned her friend $15. The interest rate is 20%, so I calculate the interest amount by multiplying $15 by 20% (or 0.20).",
"Interest = $15 Ã 0.20 = $3.",
"Adding the interest to the... | **Solution:**
1. **Initial Amount:**
Lizzy starts with \$30.
2. **Money Loaned:**
She lends \$15 to her friend.
Remaining money: \$30 - \$15 = \$15.
3. **Interest Calculation:**
20% interest on \$15:
\text{Interest} = \$15 \times 0.20 = \$3.
4. **Total Repayment:**
Principal + Interest... |
metamathqa_20835 | oumi-ai/MetaMathQA-R1 | After receiving $2000 from the bank, Emma purchased $400 worth of furniture and gave 3/4 of the remaining amount to her friend Anna. How much money does Emma have left? | [
"Okay, let's break this problem down step by step. Emma received $2000 from the bank. Then she spent $400 on furniture. So, after buying the furniture, how much does she have left? Let me subtract $400 from $2000. That would be $2000 - $400. Let me do that math: 2000 minus 400 is 1600. So, she has $1600 left after ... | Emma received $2000 from the bank. After purchasing $400 worth of furniture, the remaining amount is calculated as follows:
\[
2000 - 400 = 1600
\]
Next, Emma gave \(\frac{3}{4}\) of the remaining $1600 to her friend Anna. Calculating \(\frac{3}{4}\) of $1600:
\[
\frac{3}{4} \times 1600 = 1200
\]
Subtracting this a... |
metamathqa_20856 | oumi-ai/MetaMathQA-R1 | Marla has to spend 20 minutes driving one way to her son's school, then 70 minutes attending parent-teacher night, then the same amount of time driving home. How many minutes does Marla spend on this errand in total? | [
"First, I need to calculate the total driving time. Marla spends 20 minutes driving to the school and the same amount of time driving back home. So, the driving time in each direction is 20 minutes.",
"Next, I'll add the driving times together to get the total driving time:\n20 minutes (to school) + 20 minutes (f... | **Solution:**
1. **Driving Time:**
- **To the school:** 20 minutes
- **Back home:** 20 minutes
- **Total driving:** \( 20 \, \text{minutes} + 20 \, \text{minutes} = 40 \, \text{minutes} \)
2. **Parent-Teacher Night Duration:**
- 70 minutes
3. **Total Time Spent:**
\[
40 \, \text{minutes (driving)... |
metamathqa_20861 | oumi-ai/MetaMathQA-R1 | Matt can paint a house in x hours. Patty can paint the same house in one third the time. Rachel can paint the same house in 5 more than double the amount of hours as Patty. How long will it take Rachel to paint the house?
If we know the answer to the above question is 13, what is the value of unknown variable x? | [
"Okay, let's see. The problem is about how long Rachel takes to paint a house, and we need to find the value of x (Matt's time) given that Rachel's time is 13 hours. Let's break it down step by step.",
"First, the problem states that Matt can paint a house in x hours. Then, Patty can do it in one third the time M... | Matt can paint a house in \( x \) hours. Patty can paint the same house in one third the time Matt takes, which is \( \frac{x}{3} \) hours. Rachel can paint the house in 5 more than double the amount of hours as Patty. Double Patty's time is \( 2 \times \frac{x}{3} \), and adding 5 hours gives Rachel's time as \( \frac... |
metamathqa_20864 | oumi-ai/MetaMathQA-R1 | If Lyra bought a pair of shoes for $480 after receiving a 20% discount, what was the original price of the pair of shoes? | [
"Okay, let's try to figure out the original price of Lyra's shoes. Hmm, she bought them for $480 after a 20% discount. So the $480 must be the price after taking off 20% from the original. I need to find the original price before the discount.",
"Alright, discounts usually mean you subtract a percentage of the or... | Lyra purchased the shoes for $480 after a 20% discount, which means $480 represents 80% of the original price. Let the original price be \( x \).
\[
0.80x = 480
\]
Solving for \( x \):
\[
x = \frac{480}{0.80} = \frac{480 \times 10}{8} = \frac{4800}{8} = 600
\]
**Verification:**
20% of $600 is \( 0.20 \times 600 ... |
metamathqa_20869 | oumi-ai/MetaMathQA-R1 | Joy has 30 pencils, and Colleen has 50 pencils. If they bought the pencils at $4 each at the store, how much more money did Colleen pay than Joy for her pencils? | [
"Okay, let's see here. The problem says that Joy has 30 pencils and Colleen has 50 pencils. They both bought the pencils at $4 each at the store. The question is asking how much more money Colleen paid than Joy for her pencils. Hmm, right. So I need to figure out the difference in the total amount they spent.",
"... | Colleen has 50 pencils, and Joy has 30 pencils. Each pencil costs $4.
**Total cost for Joy:**
\(30 \text{ pencils} \times \$4/\text{pencil} = \$120\)
**Total cost for Colleen:**
\(50 \text{ pencils} \times \$4/\text{pencil} = \$200\)
**Difference in cost:**
\(\$200 - \$120 = \$80\)
**Answer:**
Colleen paid... |
metamathqa_20875 | oumi-ai/MetaMathQA-R1 | James needs to get a new pair of glasses. His frames cost $200 and the lenses cost $500. Insurance will cover 80% of the cost of lenses and he has a $50 off coupon for frames. How much does everything cost? | [
"Okay, so James needs to buy new glasses, and he wants to figure out how much everything is going to cost him. Let's see, the problem says the frames are $200 and the lenses are $500. Then there's insurance that covers 80% of the lenses cost, and he has a $50 off coupon for the frames. Hmm, need to break this down ... | The total cost for James's glasses is calculated as follows:
1. **Frames Cost**:
Original price: $200
Apply $50 coupon: $200 - $50 = **$150**
2. **Lenses Cost**:
Original price: $500
Insurance covers 80%: $500 Ã 0.80 = **$400 covered**
James's portion: $500 - $400 = **$100**
3. **Total Cost... |
metamathqa_20878 | oumi-ai/MetaMathQA-R1 | What is the result of cubing the square of the second prime number, starting from the smallest prime number? | [
"Okay, let's see. The question is asking for the result of cubing the square of the second prime number, starting from the smallest prime number. Hmm, prime numbers... primes are numbers greater than 1 that have no divisors other than 1 and themselves. The smallest prime number is 2, right? Because 1 isn't consider... | To determine the result of cubing the square of the second prime number, starting from the smallest prime number, we proceed as follows:
1. Identify the prime numbers in order. The smallest prime number is 2, followed by 3, 5, 7, etc.
2. The second prime number is 3.
3. Square the second prime number: \(3^2 = 9\).
4. ... |
metamathqa_20888 | oumi-ai/MetaMathQA-R1 | After eating 10 oranges, Johann had 60 oranges initially. Then, half of the remaining oranges were stolen by Carson, but Carson returned exactly 5. How many oranges does Johann have now? | [
"Okay, let's see. Johann started with 60 oranges. Then he ate 10. So, after eating, he should have 60 minus 10 oranges left. That would be 50 oranges. Hmm, wait, yes, 60 take away 10 is 50.",
"Now, Carson stole half of the remaining oranges. The remaining oranges after Johann ate were 50. So, half of that would b... | Johann initially had 60 oranges. After eating 10 oranges, the number of oranges remaining is:
\[ 60 - 10 = 50 \]
Carson stole half of the remaining oranges, which is:
\[ \frac{50}{2} = 25 \]
This left Johann with:
\[ 50 - 25 = 25 \]
Carson then returned 5 oranges to Johann. Therefore, the total number of oranges Joha... |
metamathqa_20897 | oumi-ai/MetaMathQA-R1 | If the coffee shop sold 8 more than four times the number of lattes it sold compared to teas, and 6 teas were sold, how many lattes did the coffee shop sell? | [
"First, I need to determine the number of lattes sold based on the relationship with the number of teas sold. The problem states that the coffee shop sold 8 more than four times the number of lattes compared to teas.",
"Given that 6 teas were sold, I'll represent the number of teas as \\( T = 6 \\).",
"Accordin... | Let's break down the problem step by step.
**Given:**
- Number of teas sold (\( T \)) = 6
- Number of lattes sold (\( L \)) = 8 more than four times the number of teas sold.
**Step 1:** Translate the relationship into an equation.
\[
L = 4T + 8
\]
**Step 2:** Substitute the given number of teas (\( T = 6 \)) into th... |
metamathqa_20906 | oumi-ai/MetaMathQA-R1 | If Jason consumes three potatoes in 20 minutes, how many hours would it take for him to finish eating all 27 potatoes cooked by his wife? | [
"Alright, so Jason eats three potatoes in 20 minutes. His wife cooked 27 potatoes. We need to find out how many hours it will take him to eat all of them. Hmm, let's see.",
"First, let's understand the problem step by step. He consumes three potatoes every 20 minutes. So, we need to find the total time for 27 pot... | Jason consumes 3 potatoes in 20 minutes. To determine how many hours it will take him to eat 27 potatoes, we start by finding the number of 20-minute intervals required.
First, calculate the number of sets of 3 potatoes in 27 potatoes:
\[
\frac{27}{3} = 9
\]
Each set takes 20 minutes, so the total time in minutes is:... |
metamathqa_20908 | oumi-ai/MetaMathQA-R1 | James has x marbles. He puts them into 4 bags. He puts the same number in each bag. He then gives one bag away. How many marbles does James have left?
If we know the answer to the above question is 21, what is the value of unknown variable x? | [
"Alright, let me try to figure out this problem. So James has x marbles, right? He puts them into 4 bags, and he puts the same number in each bag. Hmm, okay, so if he divides them equally into 4 bags, each bag would have x divided by 4 marbles. Let me write that down. So, marbles per bag = x/4. Got it.",
"Then, h... | James has \( x \) marbles, which he divides equally into 4 bags. Each bag therefore contains \( \frac{x}{4} \) marbles. After giving away one bag, he has 3 bags left. The total number of marbles left is \( 3 \times \frac{x}{4} \).
Given that the number of marbles left is 21, we set up the equation:
\[
3 \times \frac{x... |
metamathqa_20909 | oumi-ai/MetaMathQA-R1 | 5 squirrels collected 575 acorns. If each squirrel needs 130 acorns to get through the winter, how many more acorns does each squirrel need to collect? | [
"Okay, so I need to figure out how many more acorns each squirrel needs to collect. Let me try to break it down step by step.",
"First, there are 5 squirrels, and together they collected 575 acorns. Each squirrel needs 130 acorns for the winter. The question is asking how many more acorns each squirrel still need... | The total number of acorns needed for all 5 squirrels is \(5 \times 130 = 650\). Subtracting the 575 acorns they already collected gives \(650 - 575 = 75\) acorns remaining. Dividing this equally among the 5 squirrels yields \(\frac{75}{5} = 15\) acorns per squirrel.
**Answer:** Each squirrel needs to collect \(\boxed... |
metamathqa_20910 | oumi-ai/MetaMathQA-R1 | Out of the seventeen court cases overseen by a judge, two were dismissed immediately. After that, two-thirds of the remaining cases were ruled innocent, one ruling was delayed, and the rest were judged guilty. How many cases did the judge rule guilty on? | [
"Okay, so we have a problem here about court cases handled by a judge. Let me try to parse this step by step. Initially, there are seventeen cases. Two were dismissed immediately. So first, I need to subtract those two from the total to see how many cases are left for other rulings.",
"Seventeen minus two is fift... | Initially, there were 17 court cases. Two cases were dismissed immediately, leaving \( 17 - 2 = 15 \) cases.
Out of the remaining 15 cases, two-thirds were ruled innocent. Calculating two-thirds of 15:
\[
\frac{2}{3} \times 15 = 10
\]
So, 10 cases were ruled innocent.
One ruling was delayed, and the rest were judge... |
metamathqa_20911 | oumi-ai/MetaMathQA-R1 | Sarah makes 5 times more money per hour than Connor does. If Connor earns $7.20 per hour, how much does Sarah make in an 8-hour day? | [
"Okay, so Sarah makes 5 times more money per hour than Connor. Connor earns $7.20 per hour. First, I need to figure out how much Sarah makes per hour. If Connor makes $7.20, then 5 times that would be... let me just multiply 7.20 by 5. Hmm. Let me do the math here.",
"7.20 times 5. Let's break it down. 7 times 5 ... | Sarah makes 5 times more money per hour than Connor. Connor earns $7.20 per hour. To find Sarah's hourly rate, we multiply Connor's hourly rate by 5:
\[
7.20 \times 5 = 36.00
\]
Thus, Sarah's hourly rate is $36.00. To determine how much she makes in an 8-hour day, we multiply her hourly rate by 8:
\[
36.00 \times 8 ... |
metamathqa_20913 | oumi-ai/MetaMathQA-R1 | Gerald brings chocolate bars to school for his class to share. Each bar contains 8 squares. He brings 7 total bars. His teacher says that for every bar he brings, she will bring x more identical ones. There are 24 students in class. Each student gets 7 squares of chocolate. What is the value of unknown variable x? | [
"Okay, let me try to figure out this problem. Gerald brings chocolate bars to school. Each bar has 8 squares, and he brings 7 bars total. Then his teacher says that for every bar he brings, she will bring x more. So we need to find x such that there are enough chocolate squares for all 24 students, each getting 7 s... | Gerald brings 7 chocolate bars, each containing 8 squares. Therefore, the total number of squares he brings is:
\[
7 \times 8 = 56
\]
The teacher brings \( x \) additional bars for each bar Gerald brings. Since Gerald brings 7 bars, the teacher brings:
\[
7x \text{ bars}
\]
Each of these bars also contains 8 squares, ... |
metamathqa_20914 | 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's tackle this problem step by step. So, Jean is writing her final paper and uses donuts as a motivation. The rate here is one donut per 2 pages written. She writes 12 pages in total, and each donut has x calories. We need to find out how many calories Jean consumes, and then determine the value of x when... | Jean eats one donut per 2 pages that she writes. If she writes 12 pages, the number of donuts she eats can be calculated as follows:
\[
\text{Number of donuts} = \frac{12 \text{ pages}}{2 \text{ pages per donut}} = 6 \text{ donuts}
\]
Each donut has \( x \) calories, so the total calories consumed is:
\[
6 \times x
... |
metamathqa_20918 | oumi-ai/MetaMathQA-R1 | John Smith buys 3 cakes for $12 each and splits the cost with his brother. How much did he pay? | [
"Okay, let's try to solve this problem step by step. So John buys 3 cakes, each costing $12, and he splits the total cost with his brother. The question is asking how much John paid. Hmm, alright. First, I need to figure out the total cost of the cakes before splitting. Then, since he's splitting it with his brothe... | John buys 3 cakes at $12 each, so the total cost is:
\[
3 \times 12 = 36 \text{ dollars}
\]
Splitting this cost equally with his brother means dividing the total by 2:
\[
\frac{36}{2} = 18
\]
**Answer:** John paid $\boxed{18}$ dollars. |
metamathqa_20919 | oumi-ai/MetaMathQA-R1 | In a 60-item exam, Liza got 90% of the items correctly. Her best friend, Rose, got 2 more correct answers than her. How many incorrect answers did Rose have? | [
"Okay, so the problem is about Liza and her best friend Rose taking a 60-item exam. The question is asking how many incorrect answers Rose had, given that Liza got 90% of the items correct and Rose got 2 more correct answers than Liza. Let me break this down step by step.",
"First, I need to find out how many cor... | Liza got 90% of the 60-item exam correct. To find the number of correct answers she had, we calculate:
\[
0.90 \times 60 = 54
\]
Rose got 2 more correct answers than Liza. Therefore, Rose's correct answers are:
\[
54 + 2 = 56
\]
To find the number of incorrect answers Rose had, we subtract her correct answers from ... |
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