instruction_seed stringlengths 30 675 | response_seed stringlengths 56 7.92k | reasoning stringlengths 389 76.6k | deepseek_solution stringlengths 59 2.52k | __original_row_idx int64 25 38.6k | source stringclasses 1
value | final_reasoning_trace stringlengths 681 78.8k | conversations listlengths 2 2 |
|---|---|---|---|---|---|---|---|
A bag of potatoes has 10 pounds. Anna has 5 bags. Her neighbor Bob takes 2 pounds, and her friends take X pounds and 1 pound, respectively. How many pounds of potatoes will Anna have after all the taking? If we know the answer to the above question is 44, what is the value of unknown variable X? | To solve this problem, we need to determine the value of X, which represents the amount of potatoes taken by Anna's friends.
Let's break down the information given:
- Each bag of potatoes has 10 pounds.
- Anna has 5 bags of potatoes.
- Therefore, the total weight of potatoes Anna has initially = 5 bags * 10 pounds/bag... | Okay, let me try to figure out this problem step by step. So, the question is about Anna and her potatoes. Let me read it again carefully.
"A bag of potatoes has 10 pounds. Anna has 5 bags. Her neighbor Bob takes 2 pounds, and her friends take X pounds and 1 pound, respectively. How many pounds of potatoes will Anna h... | Anna starts with 5 bags of potatoes, each weighing 10 pounds. Therefore, the total initial weight of the potatoes is:
\[
5 \text{ bags} \times 10 \text{ pounds/bag} = 50 \text{ pounds}
\]
Bob takes 2 pounds, so the remaining weight is:
\[
50 \text{ pounds} - 2 \text{ pounds} = 48 \text{ pounds}
\]
Next, her friends t... | 5,135 | MetaMath | <think>
Okay, let me try to figure out this problem step by step. So, the question is about Anna and her potatoes. Let me read it again carefully.
"A bag of potatoes has 10 pounds. Anna has 5 bags. Her neighbor Bob takes 2 pounds, and her friends take X pounds and 1 pound, respectively. How many pounds of potatoes wil... | [
{
"from": "human",
"value": "A bag of potatoes has 10 pounds. Anna has 5 bags. Her neighbor Bob takes 2 pounds, and her friends take X pounds and 1 pound, respectively. How many pounds of potatoes will Anna have after all the taking? If we know the answer to the above question is 44, what is the value of un... |
Emily can bake a cake in X minutes. Sarah takes 5 minutes longer than Emily to bake her cake, while John can bake his cake 10 minutes faster than Sarah. If they each bake a cake twice a week, how many minutes do they spend baking cakes in a week? If we know the answer to the above question is 180, what is the value of ... | To solve this problem, we'll first determine how much time each person spends baking cakes based on Emily's baking time, X minutes.
1. **Emily's Baking Time**: Emily takes X minutes to bake a cake.
2. **Sarah's Baking Time**: Since Sarah takes 5 minutes longer than Emily, her baking time is:
\[ \text{Sarah's time}... | Okay, let me try to figure out this problem step by step. So, Emily can bake a cake in X minutes. Sarah takes 5 minutes longer than Emily, so Sarah's time would be X + 5 minutes. Then John can bake his cake 10 minutes faster than Sarah. Since Sarah takes X + 5 minutes, John's time would be (X + 5) - 10, which simplifie... | Emily can bake a cake in \( X \) minutes. Sarah takes \( X + 5 \) minutes to bake a cake, and John takes \( (X + 5) - 10 = X - 5 \) minutes to bake a cake. Each of them bakes a cake twice a week.
The total time they spend baking cakes in a week is calculated as follows:
- Emily: \( 2X \) minutes
- Sarah: \( 2(X + 5)... | 5,637 | MetaMath | <think>
Okay, let me try to figure out this problem step by step. So, Emily can bake a cake in X minutes. Sarah takes 5 minutes longer than Emily, so Sarah's time would be X + 5 minutes. Then John can bake his cake 10 minutes faster than Sarah. Since Sarah takes X + 5 minutes, John's time would be (X + 5) - 10, which s... | [
{
"from": "human",
"value": "Emily can bake a cake in X minutes. Sarah takes 5 minutes longer than Emily to bake her cake, while John can bake his cake 10 minutes faster than Sarah. If they each bake a cake twice a week, how many minutes do they spend baking cakes in a week? If we know the answer to the abo... |
A group of friends must pick X movies to watch from a list of 9 movies including Action, Comedy, Drama, Horror, Sci-fi, Romance, Animation, Documentary, and Thriller. The selection must include at least one Horror movie. The group can make their selections in 28 ways. What is the value of the unknown variable X? | To solve this problem, we can use the concept of combinations. We know that the group must choose X movies from the list of 9 movies. However, there is a requirement that at least one of the selected movies must be a Horror movie.
First, let's calculate the total number of ways to select movies from the list without a... | Okay, so I need to figure out the value of X, which is the number of movies a group of friends must pick from a list of 9 genres. The key condition here is that they must include at least one Horror movie. The total number of ways they can make this selection is given as 28.
First, let me recall some combinatorics pr... | To determine the value of \( X \) such that a group of friends can pick \( X \) movies from a list of 9 movies (including Horror) with the condition that at least one Horror movie is included, and the number of ways to do this is 28, we use combinatorics.
First, we recognize that the number of ways to choose \( X \) m... | 6,139 | MetaMath | <think>
Okay, so I need to figure out the value of X, which is the number of movies a group of friends must pick from a list of 9 genres. The key condition here is that they must include at least one Horror movie. The total number of ways they can make this selection is given as 28.
First, let me recall some combinat... | [
{
"from": "human",
"value": "A group of friends must pick X movies to watch from a list of 9 movies including Action, Comedy, Drama, Horror, Sci-fi, Romance, Animation, Documentary, and Thriller. The selection must include at least one Horror movie. The group can make their selections in 28 ways. What is th... |
John is collecting stamps. He has a total of 300 stamps. Out of these, X are from the United States. What percentage of his stamps are from foreign countries? If we know the answer to the above question is 40, what is the value of unknown variable X? | To solve this problem, we need to determine the value of X, which represents the number of stamps that John has from the United States.
Let's break down the information given:
- Total number of stamps: 300
- Number of stamps from the United States: X
- Percentage of stamps from foreign countries: 40%
First, we need t... | Okay, so John has a total of 300 stamps. Out of these, X are from the United States. The question is asking what percentage of his stamps are from foreign countries, and then given that the answer is 40, we need to find X.
First, let me understand the problem. John's total stamps are 300. Some of them are from the US... | John has a total of 300 stamps, with \( X \) being the number of stamps from the United States. We need to determine \( X \) given that 40% of his stamps are from foreign countries.
1. The percentage of foreign stamps is 40%, so the percentage of US stamps is 100% - 40% = 60%.
2. The number of US stamps \( X \) is 60%... | 8,622 | MetaMath | <think>
Okay, so John has a total of 300 stamps. Out of these, X are from the United States. The question is asking what percentage of his stamps are from foreign countries, and then given that the answer is 40, we need to find X.
First, let me understand the problem. John's total stamps are 300. Some of them are fro... | [
{
"from": "human",
"value": "John is collecting stamps. He has a total of 300 stamps. Out of these, X are from the United States. What percentage of his stamps are from foreign countries? If we know the answer to the above question is 40, what is the value of unknown variable X?"
},
{
"from": "gpt",... |
Michael saves $24 on Wednesday, X on Thursday, and $30 on Friday. On Saturday, he spends three-fifths of his total savings so far. How much did he spend? If we know the answer to the above question is 42, what is the value of unknown variable X? | To solve this problem, we start by calculating Michael's total savings up to Saturday and set up an equation to find the unknown variable X, which represents his savings on Thursday.
Let's break down the information given:
- Savings on Wednesday: $24
- Savings on Thursday: X
- Savings on Friday: $30
His total savings... | Okay, let's try to figure out the value of X here. So the problem is about Michael's savings over a few days and then him spending part of it. The key information is:
- He saves $24 on Wednesday.
- He saves X dollars on Thursday.
- He saves $30 on Friday.
- On Saturday, he spends three-fifths of his total savings so f... | Michael saves $24 on Wednesday, $X on Thursday, and $30 on Friday. The total savings before Saturday is the sum of these amounts:
\[
24 + X + 30
\]
Simplifying this, we get:
\[
54 + X
\]
On Saturday, he spends three-fifths of his total savings, which is given as $42. We set up the equation:
\[
\frac{3}{5} \times (... | 9,146 | MetaMath | <think>
Okay, let's try to figure out the value of X here. So the problem is about Michael's savings over a few days and then him spending part of it. The key information is:
- He saves $24 on Wednesday.
- He saves X dollars on Thursday.
- He saves $30 on Friday.
- On Saturday, he spends three-fifths of his total savi... | [
{
"from": "human",
"value": "Michael saves $24 on Wednesday, X on Thursday, and $30 on Friday. On Saturday, he spends three-fifths of his total savings so far. How much did he spend? If we know the answer to the above question is 42, what is the value of unknown variable X?"
},
{
"from": "gpt",
... |
Emma is planning a road trip. She needs to wait for 3 days for her car repairs. After that, she will drive for 15 days on her trip. Finally, she plans to take a X break once she returns. She needs 23 days for the entire road trip preparation and break. What is the value of the unknown variable X? | To solve this problem, we can set up the equation based on the information provided:
1. Emma waits for 3 days for car repairs.
2. She drives for 15 days on her trip.
3. She takes an X-day break after returning from her trip.
4. The total time for all these activities is 23 days.
We can set up the equation as follows:... | Okay, let's try to figure out this problem. So, Emma is planning a road trip, but she has to wait for her car repairs first. The car repairs take 3 days. Then, she's going to drive for 15 days on her trip. After she comes back, she wants to take a break that's X days long. The total time she needs for the entire road t... | Emma needs to wait for 3 days for her car repairs, drive for 15 days on her trip, and then take a break of \( X \) days once she returns. The total time required for the entire road trip preparation and break is 23 days.
We can set up the equation as follows:
\[
3 \text{ (car repairs)} + 15 \text{ (driving)} + X \tex... | 9,635 | MetaMath | <think>
Okay, let's try to figure out this problem. So, Emma is planning a road trip, but she has to wait for her car repairs first. The car repairs take 3 days. Then, she's going to drive for 15 days on her trip. After she comes back, she wants to take a break that's X days long. The total time she needs for the entir... | [
{
"from": "human",
"value": "Emma is planning a road trip. She needs to wait for 3 days for her car repairs. After that, she will drive for 15 days on her trip. Finally, she plans to take a X break once she returns. She needs 23 days for the entire road trip preparation and break. What is the value of the u... |
Mark decides to take cooking lessons to improve his culinary skills. The local cooking school charges $25 per class and has a start-up fee of $30. He also signs up at a second cooking school that charges 4 times as much per class and includes a fee that equals the price of X classes. How much does Mark end up spending ... | To solve this problem, we need to calculate the total cost of Mark's cooking lessons at both cooking schools and then solve for the unknown variable X.
**Step 1: Determine the costs at the first cooking school.**
- Charge per class: $25
- Start-up fee: $30
Let \( n \) be the number of classes Mark takes at the first ... | Okay, let me try to figure this out. So Mark is taking cooking lessons at two schools. The problem is asking for the value of X, given that his total spending for the year is $2030. Hmm. Let's break down the information step by step.
First, the local cooking school charges $25 per class and has a start-up fee of $30. ... | Mark decides to take cooking lessons at two schools. The first school charges $25 per class with a start-up fee of $30. The second school charges 4 times as much per class (which is $100) and includes a fee equal to the price of X classes. We need to determine the value of X given that Mark's total spending for the yea... | 12,304 | MetaMath | <think>
Okay, let me try to figure this out. So Mark is taking cooking lessons at two schools. The problem is asking for the value of X, given that his total spending for the year is $2030. Hmm. Let's break down the information step by step.
First, the local cooking school charges $25 per class and has a start-up fee ... | [
{
"from": "human",
"value": "Mark decides to take cooking lessons to improve his culinary skills. The local cooking school charges $25 per class and has a start-up fee of $30. He also signs up at a second cooking school that charges 4 times as much per class and includes a fee that equals the price of X cla... |
Roberto requires 15 apples to feel satisfied, while Maria needs three times that amount. If they manage to collect 100 apples in total, how many apples will be left after they both eat until they are satisfied? | 1. First, we need to determine how many apples each person needs to feel satisfied.
- Roberto requires 15 apples.
- Maria requires three times Roberto's amount: 3 * 15 = 45 apples.
2. Next, we calculate the total number of apples they need to be satisfied.
- Total needed = Roberto's apples + Maria's apples = ... | Okay, let's see. Roberto needs 15 apples to be satisfied. Maria needs three times that amount. First, I need to figure out how many apples Maria requires. Three times 15 is 45. So Maria needs 45 apples. Together, Roberto and Maria will eat 15 plus 45 apples. Let me add those numbers. 15 plus 45 equals 60. So together, ... | Roberto needs 15 apples, and Maria needs \(3 \times 15 = 45\) apples. Together, they consume \(15 + 45 = 60\) apples. Subtracting this from the total collected apples:
\[
100 - 60 = \boxed{40}
\]
**Answer:** \(\boxed{40}\) apples will be left. | 24,677 | MetaMath | <think>
Okay, let's see. Roberto needs 15 apples to be satisfied. Maria needs three times that amount. First, I need to figure out how many apples Maria requires. Three times 15 is 45. So Maria needs 45 apples. Together, Roberto and Maria will eat 15 plus 45 apples. Let me add those numbers. 15 plus 45 equals 60. So to... | [
{
"from": "human",
"value": "Roberto requires 15 apples to feel satisfied, while Maria needs three times that amount. If they manage to collect 100 apples in total, how many apples will be left after they both eat until they are satisfied?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see.... |
Jessica is preparing to bake 4 cakes for a party, with each cake needing 2 cups of flour. How many cups of flour does she need in total? | Step 1: Identify the number of cakes Jessica is baking. She is baking 4 cakes.
Step 2: Determine how much flour is needed for each cake. Each cake requires 2 cups of flour.
Step 3: Calculate the total amount of flour needed by multiplying the number of cakes by the amount of flour per cake:
Total flour = Number of c... | Okay, let's see. Jessica needs to bake 4 cakes, and each cake requires 2 cups of flour. So, I need to figure out the total amount of flour she needs. Hmm, this seems like a multiplication problem. Each cake is 2 cups, so if there are 4 cakes, you multiply the number of cakes by the cups per cake. Let me check that agai... | Jessica needs to bake 4 cakes, and each cake requires 2 cups of flour. To find the total amount of flour needed, multiply the number of cakes by the cups of flour per cake:
\[
4 \text{ cakes} \times 2 \text{ cups/cake} = 8 \text{ cups}
\]
**Answer:** Jessica needs 8 cups of flour in total. | 24,908 | MetaMath | <think>
Okay, let's see. Jessica needs to bake 4 cakes, and each cake requires 2 cups of flour. So, I need to figure out the total amount of flour she needs. Hmm, this seems like a multiplication problem. Each cake is 2 cups, so if there are 4 cakes, you multiply the number of cakes by the cups per cake. Let me check t... | [
{
"from": "human",
"value": "Jessica is preparing to bake 4 cakes for a party, with each cake needing 2 cups of flour. How many cups of flour does she need in total?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Jessica needs to bake 4 cakes, and each cake requires 2 cups of flour. So... |
Mark initially has 16 soccer balls. After donating 6 to a local charity, he purchases 4 new soccer balls. How many soccer balls does he currently have? | 1. Start with the number of soccer balls Mark initially has: 16.
2. Mark donates 6 soccer balls to a local charity: 16 - 6 = 10.
3. Mark then purchases 4 new soccer balls: 10 + 4 = 14.
So, the total number of soccer balls Mark currently has is 14. | Okay, let's see. Mark starts with 16 soccer balls. Then he donates 6 to charity. So, after donating, he would have 16 minus 6 soccer balls left. Let me do that subtraction first. 16 minus 6 is 10. So now he has 10 soccer balls. But then he goes and buys 4 new ones. So, adding those 4 to the 10 he has. 10 plus 4 equals ... | Mark initially has 16 soccer balls. After donating 6, he has \(16 - 6 = 10\) left. He then purchases 4 more, so he now has \(10 + 4 = 14\) soccer balls.
**Answer:** Mark currently has \(\boxed{14}\) soccer balls. | 24,617 | MetaMath | <think>
Okay, let's see. Mark starts with 16 soccer balls. Then he donates 6 to charity. So, after donating, he would have 16 minus 6 soccer balls left. Let me do that subtraction first. 16 minus 6 is 10. So now he has 10 soccer balls. But then he goes and buys 4 new ones. So, adding those 4 to the 10 he has. 10 plus 4... | [
{
"from": "human",
"value": "Mark initially has 16 soccer balls. After donating 6 to a local charity, he purchases 4 new soccer balls. How many soccer balls does he currently have?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Mark starts with 16 soccer balls. Then he donates 6 to cha... |
Lisa is knitting scarves and needs X skeins of yarn. Each skein is priced at $5. How much will she spend in total for the yarn? If we know the answer to the above question is 40, what is the value of unknown variable X? | To solve this problem, we need to determine the total cost for the yarn based on the number of skeins Lisa needs, which is represented by the variable X.
Each skein costs $5, so the total cost can be expressed as:
Total Cost = (Price per skein) * (Number of skeins) = $5 * X.
We are given that the total cost is $40, s... | Okay, let's see. Lisa is knitting scarves and she needs X skeins of yarn. Each skein costs $5. The question is asking how much she'll spend in total, and we know the answer is $40. We need to find the value of X.
Hmm, so total cost is the number of skeins multiplied by the price per skein. That makes sense. The formul... | To determine the value of \( X \):
1. **Total cost formula**:
Total Cost = Number of Skeins (\( X \)) × Price per Skein
\( 40 = X \times 5 \)
2. **Solve for \( X \)**:
\( X = \frac{40}{5} = 8 \)
**Answer**: The value of \( X \) is **8**. | 25,204 | MetaMath | <think>
Okay, let's see. Lisa is knitting scarves and she needs X skeins of yarn. Each skein costs $5. The question is asking how much she'll spend in total, and we know the answer is $40. We need to find the value of X.
Hmm, so total cost is the number of skeins multiplied by the price per skein. That makes sense. Th... | [
{
"from": "human",
"value": "Lisa is knitting scarves and needs X skeins of yarn. Each skein is priced at $5. How much will she spend in total for the yarn? If we know the answer to the above question is 40, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, l... |
Isabella requires 2 liters of paint for each canvas she paints. Given that a bucket holds 20 liters of paint, how many canvases is she able to paint with that amount? | 1. First, we know that Isabella requires 2 liters of paint for each canvas.
2. We also know that a bucket holds a total of 20 liters of paint.
3. To find out how many canvases she can paint, we will divide the total amount of paint in the bucket by the amount of paint needed for each canvas.
4. Therefore, the num... | Okay, let me try to figure this out. Isabella needs 2 liters of paint for each canvas. She has a bucket that holds 20 liters. So, I need to find out how many canvases she can paint with that 20 liters.
Hmm, maybe I should divide the total amount of paint by the amount needed per canvas. That makes sense because if eac... | Isabella can paint \(\frac{20 \text{ liters}}{2 \text{ liters per canvas}} = 10\) canvases with one bucket of paint.
**Answer:** Isabella can paint 10 canvases with a 20-liter bucket of paint. | 24,353 | MetaMath | <think>
Okay, let me try to figure this out. Isabella needs 2 liters of paint for each canvas. She has a bucket that holds 20 liters. So, I need to find out how many canvases she can paint with that 20 liters.
Hmm, maybe I should divide the total amount of paint by the amount needed per canvas. That makes sense becaus... | [
{
"from": "human",
"value": "Isabella requires 2 liters of paint for each canvas she paints. Given that a bucket holds 20 liters of paint, how many canvases is she able to paint with that amount?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let me try to figure this out. Isabella needs 2 liters... |
Tom had 20 toy cars. His brother took 4 of them to play with. Later on, Tom received X more toy cars as a gift. How many toy cars does Tom have now? If we know the answer to the above question is 26, what is the value of unknown variable X? | To solve this problem, we need to find the value of X, which represents the number of toy cars Tom received as a gift. Let's break down the information given:
1. Tom started with 20 toy cars.
2. His brother took 4 toy cars, so we subtract 4 from 20.
3. After that, Tom received X more toy cars as a gift.
4. We know the... | Okay, let's see. Tom had 20 toy cars initially. Then his brother took 4 of them. Hmm, so that means Tom's number of toy cars decreased by 4. Let me write that down.
Starting number: 20 toy cars.
Brother took 4: 20 - 4 = 16. So now Tom has 16 toy cars left.
After that, Tom received X more toy cars as a gift. So we ne... | Tom initially had 20 toy cars. His brother took 4 of them, so the number of toy cars left is:
\[ 20 - 4 = 16 \]
Later, Tom received \( X \) more toy cars as a gift. The total number of toy cars he has now is given by:
\[ 16 + X \]
We know the answer to this is 26. Therefore, we set up the equation:
\[ 16 + X = 26 ... | 25,135 | MetaMath | <think>
Okay, let's see. Tom had 20 toy cars initially. Then his brother took 4 of them. Hmm, so that means Tom's number of toy cars decreased by 4. Let me write that down.
Starting number: 20 toy cars.
Brother took 4: 20 - 4 = 16. So now Tom has 16 toy cars left.
After that, Tom received X more toy cars as a gift. ... | [
{
"from": "human",
"value": "Tom had 20 toy cars. His brother took 4 of them to play with. Later on, Tom received X more toy cars as a gift. How many toy cars does Tom have now? If we know the answer to the above question is 26, what is the value of unknown variable X?"
},
{
"from": "gpt",
"valu... |
Tyler has worked as a mechanic for 28 years, while his co-worker has 6 years less experience in the trade. What is the total combined experience of both Tyler and his co-worker? | 1. Determine Tyler's years of experience: Tyler has 28 years of experience.
2. Determine his co-worker's years of experience: His co-worker has 6 years less than Tyler, so we calculate:
\[ 28 - 6 = 22 \text{ years} \]
3. Calculate the total combined experience of both Tyler and his co-worker:
\[ 28 + 22 = 50 \tex... | Okay, let's see. Tyler has been a mechanic for 28 years. His co-worker has 6 years less experience than that. So first, I need to figure out how many years the co-worker has been working. Since it's 6 years less than Tyler's 28, I subtract 6 from 28. That should give me the co-worker's experience. Let me check that aga... | Tyler has 28 years of experience. His co-worker, with 6 years less, has \(28 - 6 = 22\) years of experience.
To find the combined total:
\[
28 \text{ (Tyler)} + 22 \text{ (Co-worker)} = 50 \text{ years}
\]
**Answer:** The total combined experience is 50 years. | 24,506 | MetaMath | <think>
Okay, let's see. Tyler has been a mechanic for 28 years. His co-worker has 6 years less experience than that. So first, I need to figure out how many years the co-worker has been working. Since it's 6 years less than Tyler's 28, I subtract 6 from 28. That should give me the co-worker's experience. Let me check ... | [
{
"from": "human",
"value": "Tyler has worked as a mechanic for 28 years, while his co-worker has 6 years less experience in the trade. What is the total combined experience of both Tyler and his co-worker?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Tyler has been a mechanic for 28... |
Nina baked for X hours last Saturday. She cleaned the kitchen for 2 times the amount of time she baked. Nina spent 8 hours cleaning. What is the value of the unknown variable X? | To solve this problem, we need to determine the value of X, which represents the number of hours Nina baked last Saturday. We know that she cleaned the kitchen for 2 times the amount of time she baked.
Let's break down the information given:
- Hours spent baking: X
- Hours spent cleaning: 2 * X
- Total hours spent ... | Okay, let's see. Nina baked for X hours last Saturday. Then she cleaned the kitchen for 2 times the amount of time she baked. And they say she spent 8 hours cleaning. So I need to find X.
Hmm. Let me break it down. The problem says she cleaned for 2 times the baking time. So if baking time is X, then cleaning time is ... | Nina cleaned the kitchen for 2 times the amount of time she baked, and she spent 8 hours cleaning. This relationship can be expressed as:
\[
2X = 8
\]
Solving for \( X \):
\[
X = \frac{8}{2} = 4
\]
**Answer:** The value of \( X \) is \(\boxed{4}\). | 24,119 | MetaMath | <think>
Okay, let's see. Nina baked for X hours last Saturday. Then she cleaned the kitchen for 2 times the amount of time she baked. And they say she spent 8 hours cleaning. So I need to find X.
Hmm. Let me break it down. The problem says she cleaned for 2 times the baking time. So if baking time is X, then cleaning ... | [
{
"from": "human",
"value": "Nina baked for X hours last Saturday. She cleaned the kitchen for 2 times the amount of time she baked. Nina spent 8 hours cleaning. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Nina baked for X hours last Satu... |
Oliver had X notebooks. Oliver now has 23 notebooks after Jake adds one third of his 24 notebooks. What is the value of the unknown variable X? | To solve this problem, we need to determine the value of X, which represents the original number of notebooks Oliver had before Jake added some to his collection.
Let's break down the information given:
- Oliver originally had X notebooks.
- Jake has 24 notebooks, and he adds one third of these to Oliver's collection.... | Okay, let's see. Oliver had some notebooks, right? The number of notebooks he had initially is X. Then Jake adds one third of his 24 notebooks. After that, Oliver has 23 notebooks. So, I need to find out what X was.
Hmm, let's break this down. Jake has 24 notebooks. He adds one third of his notebooks to Oliver's colle... | Oliver initially had \( X \) notebooks. Jake adds \(\frac{1}{3}\) of his 24 notebooks to Oliver's collection.
1. Calculate the notebooks Jake adds:
\[
\frac{1}{3} \times 24 = 8
\]
2. After adding 8 notebooks, Oliver has 23 notebooks. Set up the equation:
\[
X + 8 = 23
\]
3. Solve for \( X \):
... | 24,512 | MetaMath | <think>
Okay, let's see. Oliver had some notebooks, right? The number of notebooks he had initially is X. Then Jake adds one third of his 24 notebooks. After that, Oliver has 23 notebooks. So, I need to find out what X was.
Hmm, let's break this down. Jake has 24 notebooks. He adds one third of his notebooks to Oliver... | [
{
"from": "human",
"value": "Oliver had X notebooks. Oliver now has 23 notebooks after Jake adds one third of his 24 notebooks. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Oliver had some notebooks, right? The number of notebooks he had i... |
A school is enhancing its playground. They build 12 new swings, and then they add X many slides. How many playground items did they add in total? If we know the answer to the above question is 36, what is the value of unknown variable X? | To solve this problem, we need to determine the value of X, which represents the number of slides added to the playground.
Let's break down the information given:
- Number of swings added: 12
- Number of slides added: X
- Total number of playground items added: 36
We can set up the equation as follows:
Number... | Okay, so the problem is about a school that's adding new playground items. They built 12 new swings and then added X many slides. The total number of playground items they added is 36. We need to find out the value of X. Hmm, let me think through this step by step.
First, the school added swings and slides. Swings are... | The school added 12 new swings and X many slides. The total number of playground items added is 36. To find the value of X, we set up the equation:
\[
12 + X = 36
\]
Subtracting 12 from both sides to solve for X:
\[
X = 36 - 12
\]
\[
X = 24
\]
Thus, the value of \( X \) is \boxed{24}. | 25,039 | MetaMath | <think>
Okay, so the problem is about a school that's adding new playground items. They built 12 new swings and then added X many slides. The total number of playground items they added is 36. We need to find out the value of X. Hmm, let me think through this step by step.
First, the school added swings and slides. Sw... | [
{
"from": "human",
"value": "A school is enhancing its playground. They build 12 new swings, and then they add X many slides. How many playground items did they add in total? If we know the answer to the above question is 36, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value":... |
Emily hiked X kilometers in the first hour. If she hiked twice as far in the second hour, what is the total distance she hiked in 2 hours? If we know the answer to the above question is 12, what is the value of unknown variable X? | To determine the value of X, we start by breaking down the information given in the question.
1. In the first hour, Emily hikes X kilometers.
2. In the second hour, she hikes twice as far as she did in the first hour, which is 2X kilometers.
Now, we can calculate the total distance she hiked in 2 hours:
Total dist... | Okay, let me try to figure this out. So Emily hiked X kilometers in the first hour. Then, in the second hour, she hiked twice as far as she did in the first hour. So that means in the second hour, she hiked 2 times X, which is 2X kilometers.
Now, the question is asking for the total distance she hiked in 2 hours. So ... | Emily hiked \( X \) kilometers in the first hour and twice that distance, \( 2X \) kilometers, in the second hour. The total distance she hiked in 2 hours is the sum of these two distances, which is \( X + 2X = 3X \).
Given that the total distance is 12 kilometers, we set up the equation:
\[
3X = 12
\]
Solving for \( ... | 24,365 | MetaMath | <think>
Okay, let me try to figure this out. So Emily hiked X kilometers in the first hour. Then, in the second hour, she hiked twice as far as she did in the first hour. So that means in the second hour, she hiked 2 times X, which is 2X kilometers.
Now, the question is asking for the total distance she hiked in 2 ho... | [
{
"from": "human",
"value": "Emily hiked X kilometers in the first hour. If she hiked twice as far in the second hour, what is the total distance she hiked in 2 hours? If we know the answer to the above question is 12, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "<thin... |
Mia reads X books each month. She reads 48 books in a year. What is the value of the unknown variable X? | To solve this problem, we first need to determine how many months there are in a year. There are 12 months in a year. We know that Mia reads X books each month and that in total she reads 48 books in a year.
We can set up the equation based on the relationship:
Total books read in a year = Number of books read each ... | Okay, so Mia reads X books every month, and over the course of a year, she reads 48 books. I need to figure out what X is. Let me think about how to approach this.
First, I know that a year has 12 months. If Mia reads X books each month, then over 12 months, she would have read X multiplied by 12 books. The problem sa... | Mia reads \( X \) books each month. Over a year (12 months), she reads 48 books. The equation to solve is:
\[
12X = 48
\]
Divide both sides by 12 to isolate \( X \):
\[
X = \frac{48}{12} = 4
\]
**Answer:** The value of \( X \) is \(\boxed{4}\). | 24,948 | MetaMath | <think>
Okay, so Mia reads X books every month, and over the course of a year, she reads 48 books. I need to figure out what X is. Let me think about how to approach this.
First, I know that a year has 12 months. If Mia reads X books each month, then over 12 months, she would have read X multiplied by 12 books. The pr... | [
{
"from": "human",
"value": "Mia reads X books each month. She reads 48 books in a year. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so Mia reads X books every month, and over the course of a year, she reads 48 books. I need to figure out what X is.... |
James bought X toy cars. He gifted 20 toy cars to his cousin and then sold 25 toy cars. How many toy cars does James have left? If we know the answer to the above question is 35, what is the value of unknown variable X? | To solve this problem, we first need to determine how many toy cars James has left after gifting and selling some of them. Let's break down the information given:
1. James initially bought X toy cars.
2. He gifted 20 toy cars to his cousin.
3. He sold 25 toy cars.
4. After these actions, he has 35 toy cars left.
... | Okay, let's see. So James bought X toy cars. Then he gave 20 to his cousin and sold 25. After that, he has 35 left. We need to find out what X is. Hmm, let me think.
Alright, so he starts with X toy cars. First, he gives away 20. So that would be X minus 20, right? Then he sells 25 more. So we take the result from the... | James started with \( X \) toy cars. After gifting 20 and selling 25, the total number of cars removed is \( 20 + 25 = 45 \). The remaining cars are \( X - 45 \), which equals 35. Solving for \( X \):
\[
X - 45 = 35 \implies X = 35 + 45 = 80
\]
**Answer:** The value of \( X \) is \(\boxed{80}\). | 24,542 | MetaMath | <think>
Okay, let's see. So James bought X toy cars. Then he gave 20 to his cousin and sold 25. After that, he has 35 left. We need to find out what X is. Hmm, let me think.
Alright, so he starts with X toy cars. First, he gives away 20. So that would be X minus 20, right? Then he sells 25 more. So we take the result ... | [
{
"from": "human",
"value": "James bought X toy cars. He gifted 20 toy cars to his cousin and then sold 25 toy cars. How many toy cars does James have left? If we know the answer to the above question is 35, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, l... |
Lily goes for a run 6 times a week, and each run lasts for X minutes. She spends 180 minutes running in a week. What is the value of the unknown variable X? | To solve this problem, we need to determine the value of X, which represents the duration of each run in minutes.
Let's break down the information given:
- Lily goes for a run 6 times a week.
- Each run lasts for X minutes.
- The total time she spends running in a week is 180 minutes.
We can set up the equation based... | Okay, so Lily goes running six times a week, and each run is X minutes long. Altogether, she spends 180 minutes running every week. I need to find out what X is. Let me think.
Hmm, so if she runs six times a week, and each run is X minutes, then the total time she spends running should be 6 multiplied by X, right? Bec... | Lily runs 6 times a week for \( X \) minutes each session, totaling 180 minutes weekly. To find \( X \):
\[
6X = 180
\]
Divide both sides by 6:
\[
X = \frac{180}{6} = 30
\]
**Answer:** \( X = 30 \) minutes. | 24,849 | MetaMath | <think>
Okay, so Lily goes running six times a week, and each run is X minutes long. Altogether, she spends 180 minutes running every week. I need to find out what X is. Let me think.
Hmm, so if she runs six times a week, and each run is X minutes, then the total time she spends running should be 6 multiplied by X, ri... | [
{
"from": "human",
"value": "Lily goes for a run 6 times a week, and each run lasts for X minutes. She spends 180 minutes running in a week. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so Lily goes running six times a week, and each run is X minutes... |
After receiving $72 from her aunt and spending $3 on each of the 6 notebooks, how much money does Lila have left? | First, calculate the total amount Lila spent on the notebooks. Since each notebook costs $3 and she bought 6 notebooks, we perform the following multiplication:
Total spent on notebooks = $3 * 6 = $18.
Next, we subtract the total amount spent from the amount she received from her aunt:
Amount Lila has left = Amount ... | Okay, so Lila got $72 from her aunt. Then she spent $3 on each of 6 notebooks. I need to figure out how much money she has left. Let me break this down step by step.
First, the total amount she received is $72. That's straightforward. Now, she bought 6 notebooks, each costing $3. To find out how much she spent in tota... | Lila received $72 from her aunt. She bought 6 notebooks at $3 each, spending a total of \(6 \times 3 = \$18\). Subtracting this from her original amount:
\[
72 - 18 = 54
\]
**Answer:** Lila has \$54 left. | 24,065 | MetaMath | <think>
Okay, so Lila got $72 from her aunt. Then she spent $3 on each of 6 notebooks. I need to figure out how much money she has left. Let me break this down step by step.
First, the total amount she received is $72. That's straightforward. Now, she bought 6 notebooks, each costing $3. To find out how much she spent... | [
{
"from": "human",
"value": "After receiving $72 from her aunt and spending $3 on each of the 6 notebooks, how much money does Lila have left?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so Lila got $72 from her aunt. Then she spent $3 on each of 6 notebooks. I need to figure out how much mone... |
Peter has 15 animals at his farm, and X of them are cows. There are 9 animals that are not cows. What is the value of the unknown variable X? | To solve this problem, we need to determine the value of X, which represents the number of cows Peter has on his farm.
Let's break down the information given:
- Total number of animals: 15
- Number of animals that are not cows: 9
We can set up the equation based on the relationship between the total animals, cows, an... | Okay, let me try to figure out this problem. So, Peter has 15 animals at his farm, and some of them are cows, which is represented by X. Then it says there are 9 animals that are not cows. I need to find out what X is, right?
Hmm, let's break it down. The total number of animals is 15. Out of these, X are cows. The re... | Peter has 15 animals at his farm, with \( X \) of them being cows. There are 9 animals that are not cows. To find \( X \), we set up the equation:
\[
X + 9 = 15
\]
Solving for \( X \), we subtract 9 from both sides of the equation:
\[
X = 15 - 9
\]
\[
X = 6
\]
Thus, the value of the unknown variable \( X \) is \(\... | 24,517 | MetaMath | <think>
Okay, let me try to figure out this problem. So, Peter has 15 animals at his farm, and some of them are cows, which is represented by X. Then it says there are 9 animals that are not cows. I need to find out what X is, right?
Hmm, let's break it down. The total number of animals is 15. Out of these, X are cows... | [
{
"from": "human",
"value": "Peter has 15 animals at his farm, and X of them are cows. There are 9 animals that are not cows. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let me try to figure out this problem. So, Peter has 15 animals at his farm, an... |
At the end of 2023, how many stores does TechHub have, considering they operated 28 stores in 2021, opened 10 new outlets and closed 5 in 2022, followed by opening 15 new outlets and shutting down 8 in 2023? | To calculate the number of stores TechHub has at the end of 2023, we'll start with the number of stores they had at the end of 2021 and then account for the openings and closures in 2022 and 2023.
1. **Stores at the end of 2021:**
TechHub had 28 stores.
2. **Changes in 2022:**
- Opened 10 new outlets
-... | Okay, so I need to figure out how many stores TechHub has at the end of 2023. Let me break this down step by step.
First, let's start with the initial number of stores. In 2021, they operated 28 stores. That's our starting point. Now, moving on to 2022. In 2022, they opened 10 new outlets and closed 5. So I need to ad... | TechHub's number of stores at the end of each year is calculated as follows:
- **2021**: 28 stores (base year).
- **2022**: 28 + 10 opened − 5 closed = **33 stores**.
- **2023**: 33 + 15 opened − 8 closed = **40 stores**.
**Final Answer:** At the end of 2023, TechHub has \boxed{40} stores. | 24,529 | MetaMath | <think>
Okay, so I need to figure out how many stores TechHub has at the end of 2023. Let me break this down step by step.
First, let's start with the initial number of stores. In 2021, they operated 28 stores. That's our starting point. Now, moving on to 2022. In 2022, they opened 10 new outlets and closed 5. So I ne... | [
{
"from": "human",
"value": "At the end of 2023, how many stores does TechHub have, considering they operated 28 stores in 2021, opened 10 new outlets and closed 5 in 2022, followed by opening 15 new outlets and shutting down 8 in 2023?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so I need to ... |
Claire saved $750 from her summer job and spent $250 on a new phone. Then, she used one-fifth of her remaining money to buy apps. How much money does Claire have left after these expenses? | 1. Start with the initial amount saved by Claire: $750.
2. Subtract the amount spent on the phone:
\[
750 - 250 = 500
\]
So, Claire has $500 remaining after buying the phone.
3. Next, calculate one-fifth of her remaining money to determine how much she spent on apps:
\[
\frac{1}{5} \times 500 = 100
... | Okay, so Claire saved $750 from her summer job. That's her total savings, right? Then she spent $250 on a new phone. So I need to subtract that $250 from her initial savings to find out how much she has left after buying the phone. Let me do that first.
$750 minus $250. Hmm, 750 minus 200 would be 550, and then minus ... | Claire saved $750 from her summer job. She spent $250 on a new phone, so we subtract that from her initial savings:
\[
750 - 250 = 500
\]
After buying the phone, she has $500 remaining. She then used one-fifth of this remaining money to buy apps. Calculating one-fifth of $500:
\[
\frac{1}{5} \times 500 = 100
\]
Sub... | 24,311 | MetaMath | <think>
Okay, so Claire saved $750 from her summer job. That's her total savings, right? Then she spent $250 on a new phone. So I need to subtract that $250 from her initial savings to find out how much she has left after buying the phone. Let me do that first.
$750 minus $250. Hmm, 750 minus 200 would be 550, and the... | [
{
"from": "human",
"value": "Claire saved $750 from her summer job and spent $250 on a new phone. Then, she used one-fifth of her remaining money to buy apps. How much money does Claire have left after these expenses?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so Claire saved $750 from her su... |
Oliver observed 11 rabbits hopping in a field. Shortly afterward, he counted 7 additional rabbits joining them, and then he spotted 6 baby rabbits hiding in the bushes. What is the total number of rabbits that Oliver observed? | 1. Start with the initial count of rabbits: Oliver saw 11 rabbits in the field.
2. Then, he counted 7 additional rabbits that joined them, which adds to the total.
3. Next, he spotted 6 baby rabbits hiding in the bushes.
Now let's calculate the total:
\[ 11 + 7 + 6 = 24 \]
So, the total number of rabbits that Oliv... | Okay, let's see. Oliver first saw 11 rabbits hopping in a field. Then, he counted 7 more rabbits joining them. After that, he noticed 6 baby rabbits hiding in the bushes. So, we need to find the total number of rabbits he observed.
Hmm, so initially there were 11 rabbits. Then 7 additional ones came. So that's 11 plus... | Oliver first observed 11 rabbits. Then, 7 more rabbits joined, and he later spotted 6 baby rabbits. To find the total, add all three groups together:
\[
11 \ (\text{initial rabbits}) + 7 \ (\text{additional rabbits}) + 6 \ (\text{baby rabbits}) = 24
\]
**Total number of rabbits observed:** 24. | 24,273 | MetaMath | <think>
Okay, let's see. Oliver first saw 11 rabbits hopping in a field. Then, he counted 7 more rabbits joining them. After that, he noticed 6 baby rabbits hiding in the bushes. So, we need to find the total number of rabbits he observed.
Hmm, so initially there were 11 rabbits. Then 7 additional ones came. So that's... | [
{
"from": "human",
"value": "Oliver observed 11 rabbits hopping in a field. Shortly afterward, he counted 7 additional rabbits joining them, and then he spotted 6 baby rabbits hiding in the bushes. What is the total number of rabbits that Oliver observed?"
},
{
"from": "gpt",
"value": "<think>\n... |
Megan is a mobile library operator with X books on her shelves. If 4 community events each donate 15 books, and 75 books are checked out, how many books does Megan have left? If we know the answer to the above question is 165, what is the value of unknown variable X? | To solve this problem, we need to determine the value of X, which represents the initial number of books Megan has on her shelves.\n\nLet's break down the information given:
- Initial number of books: X
- Number of books donated from 4 community events: 4 * 15 = 60 books
- Number of books checked out: 75 books
... | Okay, let's try to figure out the value of X. The problem says Megan has X books initially. Then, 4 community events each donate 15 books. So, first, I need to calculate how many books are donated in total. Each event donates 15, so 4 times 15. Let me do that math: 4 * 15 = 60. So, Megan gets 60 more books from the don... | Megan starts with \( X \) books. After receiving 4 donations of 15 books each, she gains \( 4 \times 15 = 60 \) books. Then, 75 books are checked out. The total remaining books are:
\[
X + 60 - 75 = 165
\]
Simplify the equation:
\[
X - 15 = 165
\]
Solve for \( X \):
\[
X = 165 + 15 = 180
\]
**Answer:** The value ... | 24,619 | MetaMath | <think>
Okay, let's try to figure out the value of X. The problem says Megan has X books initially. Then, 4 community events each donate 15 books. So, first, I need to calculate how many books are donated in total. Each event donates 15, so 4 times 15. Let me do that math: 4 * 15 = 60. So, Megan gets 60 more books from... | [
{
"from": "human",
"value": "Megan is a mobile library operator with X books on her shelves. If 4 community events each donate 15 books, and 75 books are checked out, how many books does Megan have left? If we know the answer to the above question is 165, what is the value of unknown variable X?"
},
{
... |
Oliver had 30 toy cars. Last week, he got X more and then lost 5. How many toy cars does Oliver have now? If we know the answer to the above question is 35, what is the value of unknown variable X? | To solve this problem, we need to determine the value of X, which represents the number of toy cars Oliver gained last week.
Let's break down the information given:
- Oliver initially had 30 toy cars.
- Oliver received X more toy cars.
- Oliver lost 5 toy cars after that.
- We know that the final number of toy cars Ol... | Okay, let's see. Oliver had 30 toy cars. Then last week, he got X more. So, after getting those X cars, he would have 30 plus X cars. Then he lost 5. So, we need to subtract 5 from that total. The problem says the answer is 35. So, putting it all together, we can write an equation.
Starting with 30, adding X, then sub... | Oliver initially had 30 toy cars. After gaining \( X \) more, he had \( 30 + X \). He then lost 5, resulting in \( 30 + X - 5 \). The final number of toy cars is given as 35. Setting up the equation:
\[
30 + X - 5 = 35
\]
Simplifying:
\[
25 + X = 35
\]
Solving for \( X \):
\[
X = 35 - 25 = 10
\]
**Answer:** The v... | 24,415 | MetaMath | <think>
Okay, let's see. Oliver had 30 toy cars. Then last week, he got X more. So, after getting those X cars, he would have 30 plus X cars. Then he lost 5. So, we need to subtract 5 from that total. The problem says the answer is 35. So, putting it all together, we can write an equation.
Starting with 30, adding X, ... | [
{
"from": "human",
"value": "Oliver had 30 toy cars. Last week, he got X more and then lost 5. How many toy cars does Oliver have now? If we know the answer to the above question is 35, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Oliver had 3... |
David ran 300 kilometers this month, while his friend Jake ran 2/5 of that distance. How many kilometers did David run more than Jake? | 1. First, we find out how much distance Jake ran by calculating \( \frac{2}{5} \) of 300 kilometers.
\[
ext{Distance Jake ran} = \frac{2}{5} \times 300 = 120 \text{ kilometers}
\]
2. Next, we will determine how many kilometers David ran more than Jake by subtracting the distance Jake ran from the distance ... | Okay, so David ran 300 kilometers this month, and Jake ran 2/5 of that distance. The question is asking how many more kilometers David ran than Jake. Hmm, let's see. I need to find the difference between their running distances.
First, let me figure out how much Jake ran. If David ran 300 km, then Jake ran 2/5 of 300 ... | David ran 300 kilometers, and Jake ran \( \frac{2}{5} \) of that distance.
**Jake's distance**:
\[
\frac{2}{5} \times 300 = 120 \text{ km}
\]
**Difference in distance**:
\[
300 \text{ km} - 120 \text{ km} = 180 \text{ km}
\]
**Final Answer**: David ran **180 kilometers** more than Jake. | 25,189 | MetaMath | <think>
Okay, so David ran 300 kilometers this month, and Jake ran 2/5 of that distance. The question is asking how many more kilometers David ran than Jake. Hmm, let's see. I need to find the difference between their running distances.
First, let me figure out how much Jake ran. If David ran 300 km, then Jake ran 2/5... | [
{
"from": "human",
"value": "David ran 300 kilometers this month, while his friend Jake ran 2/5 of that distance. How many kilometers did David run more than Jake?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so David ran 300 kilometers this month, and Jake ran 2/5 of that distance. The questio... |
David fills 5 containers with lemonade, each with a capacity of 3 liters. After the guests consume 6 liters during the gathering, how many liters of lemonade remain? | 1. First, calculate the total capacity of all the containers. Each container has a capacity of 3 liters, and there are 5 containers. So, the total capacity is:
\[ 5 \times 3 \text{ liters} = 15 \text{ liters} \]
2. Next, determine how much lemonade was consumed during the gathering. The guests consumed 6 liters.
3... | Okay, let's see. David fills 5 containers with lemonade, and each container has a capacity of 3 liters. So first, I need to figure out how much lemonade he made in total. If each container is 3 liters and there are 5 containers, then the total amount is 5 times 3 liters. Let me write that down: 5 containers × 3 liters ... | David starts with 5 containers, each holding 3 liters of lemonade.
**Total lemonade prepared:**
5 containers × 3 liters/container = **15 liters**
**Lemonade consumed by guests:**
**6 liters**
**Remaining lemonade:**
15 liters − 6 liters = **9 liters**
**Answer:** 9 liters of lemonade remain. | 24,115 | MetaMath | <think>
Okay, let's see. David fills 5 containers with lemonade, and each container has a capacity of 3 liters. So first, I need to figure out how much lemonade he made in total. If each container is 3 liters and there are 5 containers, then the total amount is 5 times 3 liters. Let me write that down: 5 containers × 3... | [
{
"from": "human",
"value": "David fills 5 containers with lemonade, each with a capacity of 3 liters. After the guests consume 6 liters during the gathering, how many liters of lemonade remain?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. David fills 5 containers with lemonade, and ... |
Sarah has 9 sheep that produce 5 liters of milk each week. She will earn 450 dollars in X weeks when she sells all her milk at $2 per liter. What is the value of the unknown variable X? | To solve this problem, we need to calculate the total amount of milk produced by Sarah's sheep over a certain number of weeks and determine how many weeks (X) it would take for her to earn $450. Let's break down the steps:
1. **Calculate the total milk produced per week:**
Sarah has 9 sheep and each sheep produce... | Okay, let's see. Sarah has 9 sheep, and each one produces 5 liters of milk every week. She sells all the milk and earns 450 dollars after X weeks. The milk is sold at $2 per liter. I need to find X. Hmm, let me break this down step by step.
First, how much milk does Sarah get each week? Well, she has 9 sheep, and each... | Sarah's 9 sheep produce \(9 \times 5 = 45\) liters of milk weekly. Selling at \$2 per liter, her weekly earnings are \(45 \times 2 = 90\) dollars. To earn \$450 total, divide the total amount by weekly earnings: \( \frac{450}{90} = 5 \).
**Answer:** The value of \(X\) is \boxed{5}. | 24,060 | MetaMath | <think>
Okay, let's see. Sarah has 9 sheep, and each one produces 5 liters of milk every week. She sells all the milk and earns 450 dollars after X weeks. The milk is sold at $2 per liter. I need to find X. Hmm, let me break this down step by step.
First, how much milk does Sarah get each week? Well, she has 9 sheep, ... | [
{
"from": "human",
"value": "Sarah has 9 sheep that produce 5 liters of milk each week. She will earn 450 dollars in X weeks when she sells all her milk at $2 per liter. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Sarah has 9 sheep, and e... |
James has X jars of jam, each containing 450 grams. He has 3600 grams of jam left after using 900 grams for the recipe. What is the value of the unknown variable X? | To solve the problem, we need to determine the value of X, which represents the number of jars of jam James has.
Let's break down the information given:
- Each jar contains 450 grams of jam.
- After using 900 grams, James has 3600 grams left.
First, let's find out how much jam James initially had before he used any:... | Okay, so James has X jars of jam, each with 450 grams. He used 900 grams for a recipe and has 3600 grams left. I need to find X. Let me think step by step.
First, the total amount of jam he has initially would be the number of jars multiplied by the amount in each jar. So that's X times 450 grams. Then he uses 900 gra... | James starts with X jars, each containing 450 grams, so the total initial amount of jam is \(450X\) grams. After using 900 grams, he has 3600 grams remaining. This gives the equation:
\[
450X - 900 = 3600
\]
**Step 1:** Add 900 to both sides to isolate the term with \(X\):
\[
450X = 3600 + 900 \implies 450X = 4500
\... | 25,122 | MetaMath | <think>
Okay, so James has X jars of jam, each with 450 grams. He used 900 grams for a recipe and has 3600 grams left. I need to find X. Let me think step by step.
First, the total amount of jam he has initially would be the number of jars multiplied by the amount in each jar. So that's X times 450 grams. Then he uses... | [
{
"from": "human",
"value": "James has X jars of jam, each containing 450 grams. He has 3600 grams of jam left after using 900 grams for the recipe. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so James has X jars of jam, each with 450 grams. He used... |
Sarah has seven baskets with ten apples in each. Her father gives her four bags with five oranges each. She has 56 fruits left after selling X fruits. What is the value of the unknown variable X? | To solve this problem, we need to calculate the total number of fruits Sarah has initially and then determine how many fruits she sold to have 56 fruits left.
1. **Calculate the number of apples:**
Sarah has 7 baskets with 10 apples in each basket. Therefore, the total number of apples is:
\[ 7 \times 10 = 70 ... | Okay, let's see. Sarah has seven baskets, each with ten apples. So first, I need to figure out how many apples she has in total. If there are seven baskets and each has ten apples, that's 7 times 10. Let me write that down: 7 * 10 = 70 apples. Got that.
Then her father gives her four bags with five oranges each. So si... | Sarah starts with 7 baskets × 10 apples = **70 apples**. Her father adds 4 bags × 5 oranges = **20 oranges**. Total fruits = 70 + 20 = **90 fruits**.
After selling **X** fruits, she has **56** left. Thus:
\[
90 - X = 56
\]
Solving for \(X\):
\[
X = 90 - 56 = \boxed{34}
\] | 24,319 | MetaMath | <think>
Okay, let's see. Sarah has seven baskets, each with ten apples. So first, I need to figure out how many apples she has in total. If there are seven baskets and each has ten apples, that's 7 times 10. Let me write that down: 7 * 10 = 70 apples. Got that.
Then her father gives her four bags with five oranges eac... | [
{
"from": "human",
"value": "Sarah has seven baskets with ten apples in each. Her father gives her four bags with five oranges each. She has 56 fruits left after selling X fruits. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Sarah has seve... |
Liam has two hamsters that weigh 5 and 8 ounces. What is the weight of his rabbit if it weighs X times the total weight of his two hamsters? If we know the answer to the above question is 39, what is the value of unknown variable X? | To solve this problem, we need to find the value of X, which represents how many times the total weight of the two hamsters the weight of Liam's rabbit is.
First, let's calculate the total weight of the two hamsters:
Weight of hamster 1 = 5 ounces
Weight of hamster 2 = 8 ounces
Total weight of hamsters = 5 + 8... | Okay, let's see. Liam has two hamsters. One weighs 5 ounces and the other weighs 8 ounces. The question is asking for the weight of his rabbit, which is X times the total weight of the two hamsters. Then, we're told that the answer is 39, so we need to find X.
First, let me break this down. The total weight of the ham... | Liam has two hamsters that weigh 5 ounces and 8 ounces. The total weight of the hamsters is calculated as follows:
\[
5 + 8 = 13 \text{ ounces}
\]
The weight of the rabbit is given as \( X \) times the total weight of the hamsters. We know the rabbit's weight is 39 ounces. Therefore, we set up the equation:
\[
13X = 3... | 24,680 | MetaMath | <think>
Okay, let's see. Liam has two hamsters. One weighs 5 ounces and the other weighs 8 ounces. The question is asking for the weight of his rabbit, which is X times the total weight of the two hamsters. Then, we're told that the answer is 39, so we need to find X.
First, let me break this down. The total weight of... | [
{
"from": "human",
"value": "Liam has two hamsters that weigh 5 and 8 ounces. What is the weight of his rabbit if it weighs X times the total weight of his two hamsters? If we know the answer to the above question is 39, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "<th... |
A blogger wrote a series of articles totaling 15,000 words in X hours. Her average writing speed is 500 words per hour. What is the value of the unknown variable X? | To solve the problem, we need to determine the value of X, which represents the number of hours it took the blogger to write the 15,000 words.
Let's break down the given information:
- Total number of words written: 15,000 words
- Average writing speed: 500 words per hour
We can use the formula for time, which is:
\... | Okay, let's see here. The problem says a blogger wrote a series of articles totaling 15,000 words in X hours. Her average writing speed is 500 words per hour. We need to find the value of X. Hmm, so she writes 500 words every hour, and in total, she wrote 15,000 words. So, how many hours did that take?
Alright, let's ... | The blogger's total writing time can be calculated by dividing the total number of words by her average writing speed:
\[
X = \frac{\text{Total Words}}{\text{Writing Speed}} = \frac{15{,}000 \text{ words}}{500 \text{ words/hour}} = 30 \text{ hours}
\]
**Answer:** The value of \( X \) is \(\boxed{30}\). | 24,480 | MetaMath | <think>
Okay, let's see here. The problem says a blogger wrote a series of articles totaling 15,000 words in X hours. Her average writing speed is 500 words per hour. We need to find the value of X. Hmm, so she writes 500 words every hour, and in total, she wrote 15,000 words. So, how many hours did that take?
Alright... | [
{
"from": "human",
"value": "A blogger wrote a series of articles totaling 15,000 words in X hours. Her average writing speed is 500 words per hour. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see here. The problem says a blogger wrote a serie... |
A cargo ship has a maximum weight capacity of 5000 kilograms. Given that each container weighs 250 kilograms and there are 16 containers already loaded, what is the remaining weight that can still be added to the ship? | 1. Start with the maximum weight capacity of the cargo ship, which is 5000 kilograms.
2. Each container weighs 250 kilograms.
3. There are 16 containers already loaded on the ship. To find the total weight of these containers, multiply the number of containers by the weight of each container:
Total weight of conta... | Okay, let's see. I need to figure out how much more weight the cargo ship can hold. The maximum capacity is 5000 kilograms. There are already 16 containers loaded, and each container weighs 250 kilograms. Hmm, so first, I should calculate the total weight of the containers that are already on the ship.
Alright, each c... | The cargo ship has a maximum capacity of 5000 kg. Each container weighs 250 kg, and there are 16 containers already loaded.
1. **Calculate the total weight of the loaded containers:**
\(16 \text{ containers} \times 250 \text{ kg/container} = 4000 \text{ kg}\).
2. **Subtract the loaded weight from the maximum ca... | 24,837 | MetaMath | <think>
Okay, let's see. I need to figure out how much more weight the cargo ship can hold. The maximum capacity is 5000 kilograms. There are already 16 containers loaded, and each container weighs 250 kilograms. Hmm, so first, I should calculate the total weight of the containers that are already on the ship.
Alright... | [
{
"from": "human",
"value": "A cargo ship has a maximum weight capacity of 5000 kilograms. Given that each container weighs 250 kilograms and there are 16 containers already loaded, what is the remaining weight that can still be added to the ship?"
},
{
"from": "gpt",
"value": "<think>\nOkay, le... |
Kevin is building a new shelf. He needs wood for X pieces that are 1 meter long and 3 pieces that are 2 meters long. How much wood does Kevin need to buy? If we know the answer to the above question is 11, what is the value of unknown variable X? | To determine how much wood Kevin needs, we need to calculate the total length of wood required for both the X pieces and the 3 pieces of 2-meter long wood.
1. **Calculate the length for the 1-meter pieces:**
- If Kevin needs X pieces that are 1 meter long, the total length for these pieces is:
\[ ext{Length ... | Okay, let's see. Kevin is building a shelf and needs wood. The problem says he needs X pieces that are 1 meter long and 3 pieces that are 2 meters long. The total wood he needs is 11 meters. I need to find the value of X.
Alright, let's break this down. Each 1-meter piece contributes 1 times X meters to the total, rig... | Kevin needs a total of 11 meters of wood. To find the value of \( X \):
1. **Calculate the wood needed for the 2-meter pieces:**
\[
3 \text{ pieces} \times 2 \text{ meters/piece} = 6 \text{ meters}
\]
2. **Set up the equation for the total wood:**
\[
X \text{ (1-meter pieces)} + 6 \text{ meters} = 11 \... | 24,356 | MetaMath | <think>
Okay, let's see. Kevin is building a shelf and needs wood. The problem says he needs X pieces that are 1 meter long and 3 pieces that are 2 meters long. The total wood he needs is 11 meters. I need to find the value of X.
Alright, let's break this down. Each 1-meter piece contributes 1 times X meters to the to... | [
{
"from": "human",
"value": "Kevin is building a new shelf. He needs wood for X pieces that are 1 meter long and 3 pieces that are 2 meters long. How much wood does Kevin need to buy? If we know the answer to the above question is 11, what is the value of unknown variable X?"
},
{
"from": "gpt",
... |
At a bus station, a bus arrives every X minutes, leaving 150 passengers and picking up 250 others. A total of 6000 different passengers board and alight from the bus at the station within two hours. What is the value of the unknown variable X? | To solve this problem, we need to determine the value of X, which represents the time interval in minutes at which a bus arrives at the bus station.
Let’s break down the information given:
- A bus arrives every X minutes.
- Each bus leaves 150 passengers and picks up 250 passengers.
- The total number of different pas... | Okay, let's see. There's a bus that comes every X minutes. Each time it arrives, 150 passengers get off and 250 get on. So, each bus serves a total of 150 + 250 = 400 passengers. Now, over two hours, the total number of passengers boarding and alighting is 6000. I need to find X, the interval between buses.
First, two... | The bus arrives every X minutes, handling 150 passengers alighting and 250 boarding (total 400 passengers) per arrival. Over two hours (120 minutes), 6000 total passengers are served.
1. Number of buses in two hours: \( \frac{120}{X} \)
2. Total passengers: \( \frac{120}{X} \times 400 = 6000 \)
3. Solve for X:
\... | 24,550 | MetaMath | <think>
Okay, let's see. There's a bus that comes every X minutes. Each time it arrives, 150 passengers get off and 250 get on. So, each bus serves a total of 150 + 250 = 400 passengers. Now, over two hours, the total number of passengers boarding and alighting is 6000. I need to find X, the interval between buses.
Fi... | [
{
"from": "human",
"value": "At a bus station, a bus arrives every X minutes, leaving 150 passengers and picking up 250 others. A total of 6000 different passengers board and alight from the bus at the station within two hours. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"v... |
Emma is planning a road trip. She needs to wait for X days for her car repairs. After that, she will drive for 15 days on her trip. Finally, she plans to take a 5-day break once she returns. She needs 23 days for the entire road trip preparation and break. What is the value of the unknown variable X? | To solve this problem, we need to determine the value of X, which represents the number of days Emma has to wait for her car repairs before starting her road trip.
Let's break down the information given:
1. Days waiting for car repairs: X
2. Days driving on the trip: 15
3. Days taking a break after returning: 5
4. Tot... | Okay, let's see. Emma is planning a road trip, but she has to wait for her car repairs first. The problem says she needs to wait for X days. Then after that, she will drive for 15 days on her trip. Once she returns, she wants to take a 5-day break. The entire time she needs for the road trip preparation and break is 23... | Emma's total time is the sum of waiting for repairs (X days), driving (15 days), and the break (5 days).
Setting up the equation:
\[
X + 15 + 5 = 23
\]
Simplify:
\[
X + 20 = 23
\]
Solve for \( X \):
\[
X = 23 - 20 = 3
\]
**Answer:** The value of the unknown variable \( X \) is \(\boxed{3}\). | 24,657 | MetaMath | <think>
Okay, let's see. Emma is planning a road trip, but she has to wait for her car repairs first. The problem says she needs to wait for X days. Then after that, she will drive for 15 days on her trip. Once she returns, she wants to take a 5-day break. The entire time she needs for the road trip preparation and bre... | [
{
"from": "human",
"value": "Emma is planning a road trip. She needs to wait for X days for her car repairs. After that, she will drive for 15 days on her trip. Finally, she plans to take a 5-day break once she returns. She needs 23 days for the entire road trip preparation and break. What is the value of t... |
Sarah has 24 brownies. She consumes X brownies per week and shares 1 brownie with a friend each week. She can enjoy the brownies for 8 weeks. What is the value of the unknown variable X? | To solve this problem, we need to determine the value of X, which represents the number of brownies Sarah consumes per week.
Let's break down the information given:
- Sarah has a total of 24 brownies.
- She consumes X brownies per week.
- She shares 1 brownie with a friend each week.
- She can enjoy the brownies for ... | Okay, let's see. Sarah has 24 brownies. Each week, she eats X brownies and also shares 1 brownie with a friend. So, every week, she uses up X + 1 brownies. And this needs to last her 8 weeks. So, over 8 weeks, the total brownies consumed would be 8 times (X + 1). And that should equal the total number of brownies she h... | Sarah has 24 brownies and needs to make them last for 8 weeks. Each week, she consumes \( X \) brownies and shares 1 brownie with a friend. The total brownies used per week is \( X + 1 \). Over 8 weeks, this totals \( 8(X + 1) \). Setting this equal to 24 gives:
\[
8(X + 1) = 24
\]
Solving for \( X \):
\[
X + 1 = \fr... | 24,361 | MetaMath | <think>
Okay, let's see. Sarah has 24 brownies. Each week, she eats X brownies and also shares 1 brownie with a friend. So, every week, she uses up X + 1 brownies. And this needs to last her 8 weeks. So, over 8 weeks, the total brownies consumed would be 8 times (X + 1). And that should equal the total number of browni... | [
{
"from": "human",
"value": "Sarah has 24 brownies. She consumes X brownies per week and shares 1 brownie with a friend each week. She can enjoy the brownies for 8 weeks. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Sarah has 24 brownies. ... |
Tom is crafting wooden tables and each table requires X planks. He has 450 planks of wood initially. He donates 50 planks each to his 4 acquaintances who are also carpenters. How many tables can Tom build afterward? If we know the answer to the above question is 25, what is the value of unknown variable X? | To find the value of X, which represents the number of planks needed to build one table, let's break down the information given step by step:
1. **Initial number of planks:** Tom starts with 450 planks.
2. **Planks donated:** He donates 50 planks each to 4 acquaintances. The total number of planks donated is:
\[ 50... | Okay, so Tom starts with 450 planks. Then he donates 50 planks each to 4 acquaintances. Let me break this down step by step.
First, how many planks does Tom donate in total? If he gives 50 planks to each of 4 people, that's 50 multiplied by 4. Let me do that calculation: 50 times 4 is 200. So Tom donates 200 planks i... | Tom initially has 450 planks. He donates 50 planks each to 4 acquaintances, totaling \(50 \times 4 = 200\) planks. After donating, he has \(450 - 200 = 250\) planks left.
Let \(X\) be the number of planks required per table. The number of tables Tom can build is \(\frac{250}{X}\). Given this equals 25:
\[
\frac{250}{... | 25,073 | MetaMath | <think>
Okay, so Tom starts with 450 planks. Then he donates 50 planks each to 4 acquaintances. Let me break this down step by step.
First, how many planks does Tom donate in total? If he gives 50 planks to each of 4 people, that's 50 multiplied by 4. Let me do that calculation: 50 times 4 is 200. So Tom donates 200 ... | [
{
"from": "human",
"value": "Tom is crafting wooden tables and each table requires X planks. He has 450 planks of wood initially. He donates 50 planks each to his 4 acquaintances who are also carpenters. How many tables can Tom build afterward? If we know the answer to the above question is 25, what is the ... |
As a clothing store manager, Oliver sells a total of 150 items weekly. In the previous week, he sold 70 shirts, 50 pants, and the remaining items were accessories. What is the total number of accessory items he sold? | To find the total number of accessory items that Oliver sold, we start by determining the total number of shirts and pants he sold in the previous week.
1. Oliver sold 70 shirts.
2. He also sold 50 pants.
Now we can calculate the total number of shirts and pants sold:
\[ \text{Total shirts and pants} = \text{Shirts... | Okay, let's see. Oliver is a clothing store manager, and he sells a total of 150 items every week. Last week, he sold 70 shirts and 50 pants. The rest were accessories. The question is asking how many accessories he sold.
Hmm, so first, he sells shirts, pants, and accessories. The total number of items is 150. He sold... | Oliver sold a total of 150 items. If he sold 70 shirts and 50 pants, the remaining items are accessories.
1. **Calculate total shirts and pants sold:**
\( 70 \text{ shirts} + 50 \text{ pants} = 120 \text{ items} \).
2. **Subtract from the total items to find accessories:**
\( 150 \text{ total} - 120 \text{... | 24,410 | MetaMath | <think>
Okay, let's see. Oliver is a clothing store manager, and he sells a total of 150 items every week. Last week, he sold 70 shirts and 50 pants. The rest were accessories. The question is asking how many accessories he sold.
Hmm, so first, he sells shirts, pants, and accessories. The total number of items is 150.... | [
{
"from": "human",
"value": "As a clothing store manager, Oliver sells a total of 150 items weekly. In the previous week, he sold 70 shirts, 50 pants, and the remaining items were accessories. What is the total number of accessory items he sold?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let'... |
Maria is building her stamp collection and gathers 75 stamps in the first month and 125 stamps in the second month. Given that her target is to reach 400 stamps, how many additional stamps does she still need to achieve her goal? | 1. Maria collects stamps in the first month: 75 stamps.
2. She collects stamps in the second month: 125 stamps.
3. To find the total number of stamps she has after two months, we can add the number of stamps collected in both months:
\[ \text{Total stamps} = 75 + 125 = 200 \text{ stamps} \]
4. Maria's target is to ... | Okay, so Maria is collecting stamps, right? She wants to get to 400 stamps in total. Let me figure out how many more she needs.
First, she gathered 75 stamps in the first month. Then, in the second month, she got 125 stamps. Hmm, I need to add those two amounts together to see how many she has so far.
Let me do the... | Maria has collected a total of 75 + 125 = 200 stamps in the first two months. To find out how many more stamps she needs to reach her goal of 400, subtract the stamps she already has from her target:
400 (goal) - 200 (collected) = 200.
**Answer:** Maria needs 200 additional stamps to achieve her goal. | 24,402 | MetaMath | <think>
Okay, so Maria is collecting stamps, right? She wants to get to 400 stamps in total. Let me figure out how many more she needs.
First, she gathered 75 stamps in the first month. Then, in the second month, she got 125 stamps. Hmm, I need to add those two amounts together to see how many she has so far.
Let m... | [
{
"from": "human",
"value": "Maria is building her stamp collection and gathers 75 stamps in the first month and 125 stamps in the second month. Given that her target is to reach 400 stamps, how many additional stamps does she still need to achieve her goal?"
},
{
"from": "gpt",
"value": "<think... |
Liam initially had 22 toy cars. After playing with them, he realized he now has 3 fewer than half of his original number of toy cars. How many toy cars does he currently possess? | Let's break this down step by step:
1. **Identify the original number of toy cars:** Liam initially had 22 toy cars.
2. **Calculate half of the original number:** Half of 22 is calculated as follows:
\[ \frac{22}{2} = 11 \]
3. **Determine how many toy cars are 3 fewer than half:** If Liam has 3 fewer than half of... | Okay, so Liam started with 22 toy cars, right? The problem says he now has 3 fewer than half of his original number. Hmm, let me break this down step by step.
First, the original number of toy cars is 22. Half of that would be 11. But he has 3 fewer than that half. So, if half is 11, then subtracting 3 would give us ... | Liam initially had 22 toy cars. To find half of his original number:
\[
\frac{22}{2} = 11
\]
He now has **3 fewer** than this amount:
\[
11 - 3 = 8
\]
**Answer:** Liam currently has \(\boxed{8}\) toy cars. | 24,086 | MetaMath | <think>
Okay, so Liam started with 22 toy cars, right? The problem says he now has 3 fewer than half of his original number. Hmm, let me break this down step by step.
First, the original number of toy cars is 22. Half of that would be 11. But he has 3 fewer than that half. So, if half is 11, then subtracting 3 would ... | [
{
"from": "human",
"value": "Liam initially had 22 toy cars. After playing with them, he realized he now has 3 fewer than half of his original number of toy cars. How many toy cars does he currently possess?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so Liam started with 22 toy cars, right? T... |
What was Lisa's average walking pace in miles per hour if she walked 12 miles on Tuesday while carrying a 20-pound backpack, spent 4 hours walking, and is 5 feet 3 inches tall with the temperature being 58 degrees Fahrenheit? | To find Lisa's average walking pace, we will use the formula for average speed, which is given by the formula:
\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \]
1. **Identify the Total Distance:**
Lisa walked 12 miles.
\[ \text{Total Distance} = 12 \text{ miles} \]
2. **Identi... | Okay, let's see. I need to find Lisa's average walking pace in miles per hour. She walked 12 miles on Tuesday, carrying a 20-pound backpack, and it took her 4 hours. Hmm, her height is 5 feet 3 inches, and the temperature was 58 degrees Fahrenheit.
Wait, so average pace is generally just total distance divided by tot... | Lisa's average walking pace is calculated by dividing the total distance by the total time spent walking.
**Distance:** 12 miles
**Time:** 4 hours
\[
\text{Average Pace} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{12 \text{ miles}}{4 \text{ hours}} = 3 \text{ miles per hour}
\]
**Note:** Factors l... | 24,598 | MetaMath | <think>
Okay, let's see. I need to find Lisa's average walking pace in miles per hour. She walked 12 miles on Tuesday, carrying a 20-pound backpack, and it took her 4 hours. Hmm, her height is 5 feet 3 inches, and the temperature was 58 degrees Fahrenheit.
Wait, so average pace is generally just total distance divide... | [
{
"from": "human",
"value": "What was Lisa's average walking pace in miles per hour if she walked 12 miles on Tuesday while carrying a 20-pound backpack, spent 4 hours walking, and is 5 feet 3 inches tall with the temperature being 58 degrees Fahrenheit?"
},
{
"from": "gpt",
"value": "<think>\nO... |
Tom is organizing a wedding that is set to take place in 24 months and requires $12,000 for the event. If he receives his income on a monthly basis, how much does he need to save each month to meet his goal? | To find out how much Tom needs to save each month, we can divide the total amount he needs by the number of months until the wedding. He needs a total of $12,000 and he has 24 months to save this amount.
1. Calculate how much he needs to save each month:
\[ \text{Monthly savings} = \frac{\text{Total amount needed}}... | Okay, let's see. Tom needs $12,000 for his wedding in 24 months. He gets his income monthly, so he needs to figure out how much to save each month. Hmm, this sounds like a straightforward division problem, but maybe I should double-check to make sure there aren't any other factors involved.
First, the total amount req... | Tom needs to save $12,000 over a period of 24 months. To determine the monthly savings amount, divide the total required by the number of months:
\[
\frac{\$12,\!000}{24 \text{ months}} = \$500 \text{ per month}
\]
**Answer:** Tom must save $\boxed{500}$ dollars each month. | 25,193 | MetaMath | <think>
Okay, let's see. Tom needs $12,000 for his wedding in 24 months. He gets his income monthly, so he needs to figure out how much to save each month. Hmm, this sounds like a straightforward division problem, but maybe I should double-check to make sure there aren't any other factors involved.
First, the total am... | [
{
"from": "human",
"value": "Tom is organizing a wedding that is set to take place in 24 months and requires $12,000 for the event. If he receives his income on a monthly basis, how much does he need to save each month to meet his goal?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. To... |
If a chef has 12 liters of tomato sauce and uses 300 ml for each pizza, how many pizzas can he make with the amount of sauce he has? | First, we need to convert the 12 liters of tomato sauce into milliliters since the usage per pizza is given in milliliters.
1 liter = 1000 milliliters, so:
\[ 12 \text{ liters} = 12 \times 1000 \text{ ml} = 12000 \text{ ml} \]
Next, we determine how many pizzas can be made by dividing the total amount of sauce by t... | Okay, let's see. The chef has 12 liters of tomato sauce, and each pizza requires 300 ml. I need to figure out how many pizzas he can make. Hmm, liters and milliliters are different units, so first I should convert them to the same unit to make the calculation easier.
Right, 1 liter is equal to 1000 milliliters. So, i... | The chef has 12 liters of tomato sauce, which is equivalent to \(12 \times 1000 = 12,000\) milliliters. Each pizza requires 300 ml of sauce. To find the number of pizzas, divide the total sauce by the amount per pizza:
\[
\frac{12,000\ \text{ml}}{300\ \text{ml/pizza}} = 40\ \text{pizzas}
\]
**Answer:** The chef can m... | 25,127 | MetaMath | <think>
Okay, let's see. The chef has 12 liters of tomato sauce, and each pizza requires 300 ml. I need to figure out how many pizzas he can make. Hmm, liters and milliliters are different units, so first I should convert them to the same unit to make the calculation easier.
Right, 1 liter is equal to 1000 milliliter... | [
{
"from": "human",
"value": "If a chef has 12 liters of tomato sauce and uses 300 ml for each pizza, how many pizzas can he make with the amount of sauce he has?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. The chef has 12 liters of tomato sauce, and each pizza requires 300 ml. I nee... |
Noah is baking cookies for a charity event and requires 120 chocolate chips. He has X chips left from the last batch and just bought 30 more. He needs 40 more chocolate chips. What is the value of the unknown variable X? | To solve this problem, we need to determine the value of X, which represents the number of chocolate chips Noah has left from the last batch.
Let's break down the information provided:
- Noah needs a total of 120 chocolate chips.
- He just bought 30 more chocolate chips.
- He needs 40 more chocolate chips after accou... | Okay, let's see. Noah is baking cookies and he needs 120 chocolate chips. He has some left from before, which is X, and he just bought 30 more. But he still needs 40 more. Hmm, so we need to find out what X is.
First, let me break it down. He needs a total of 120 chips. He already has X chips from last time, plus he j... | Noah needs a total of 120 chocolate chips. He has \( X \) chips left from the last batch and adds 30 more, giving him \( X + 30 \) chips. Since he still needs 40 more to reach 120, the equation is:
\[
X + 30 + 40 = 120
\]
Simplifying:
\[
X + 70 = 120
\]
Subtract 70 from both sides:
\[
X = 120 - 70 = 50
\]
**Answe... | 24,634 | MetaMath | <think>
Okay, let's see. Noah is baking cookies and he needs 120 chocolate chips. He has some left from before, which is X, and he just bought 30 more. But he still needs 40 more. Hmm, so we need to find out what X is.
First, let me break it down. He needs a total of 120 chips. He already has X chips from last time, p... | [
{
"from": "human",
"value": "Noah is baking cookies for a charity event and requires 120 chocolate chips. He has X chips left from the last batch and just bought 30 more. He needs 40 more chocolate chips. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, ... |
James collected 90 stamps. He gives 1/3 of them to his brother. From the remaining stamps, he misplaced X stamps. How many stamps does James have now? If we know the answer to the above question is 51, what is the value of unknown variable X? | To determine the value of X, we need to first find out how many stamps James has after giving some to his brother and then misplacing some stamps.
1. Start with the total number of stamps: 90.
2. James gives 1/3 of his stamps to his brother:
\[ \text{Stamps given to brother} = \frac{1}{3} \times 90 = 30. \]
3. Calc... | Okay, let's tackle this problem step by step. So James has 90 stamps to start with. The first thing he does is give away 1/3 of them to his brother. Hmm, 1/3 of 90... let me calculate that.
1/3 of 90 is 90 divided by 3, which is 30. So he gives 30 stamps to his brother. That means the remaining stamps he has after gi... | James collected 90 stamps and gave \( \frac{1}{3} \) of them to his brother. Calculating the number of stamps given to his brother:
\[
\frac{1}{3} \times 90 = 30
\]
Subtracting these from the original total gives the remaining stamps:
\[
90 - 30 = 60
\]
From the remaining 60 stamps, James misplaced \( X \) stamps. ... | 24,756 | MetaMath | <think>
Okay, let's tackle this problem step by step. So James has 90 stamps to start with. The first thing he does is give away 1/3 of them to his brother. Hmm, 1/3 of 90... let me calculate that.
1/3 of 90 is 90 divided by 3, which is 30. So he gives 30 stamps to his brother. That means the remaining stamps he has ... | [
{
"from": "human",
"value": "James collected 90 stamps. He gives 1/3 of them to his brother. From the remaining stamps, he misplaced X stamps. How many stamps does James have now? If we know the answer to the above question is 51, what is the value of unknown variable X?"
},
{
"from": "gpt",
"va... |
While building a treehouse, Tommy painted 3 walls, and his dad painted five times that amount. How many more walls did his dad paint compared to Tommy? | Tommy painted 3 walls. His dad painted five times that amount, so the number of walls his dad painted is calculated as follows:
\[ 5 \times 3 = 15 \text{ walls} \]
Next, we need to find out how many more walls his dad painted compared to Tommy. We do this by subtracting the number of walls Tommy painted from the numb... | Okay, let's see. So Tommy painted 3 walls for the treehouse. His dad painted five times that amount. The question is asking how many more walls his dad painted compared to Tommy. Hmm, okay. Let me break this down step by step.
First, Tommy painted 3 walls. That's straightforward. Then, his dad painted five times that ... | Tommy painted 3 walls. His dad painted five times that amount, which is \( 3 \times 5 = 15 \) walls. To find how many more walls his dad painted compared to Tommy, subtract Tommy's walls from his dad's: \( 15 - 3 = 12 \).
**Answer:** His dad painted 12 more walls than Tommy. | 24,160 | MetaMath | <think>
Okay, let's see. So Tommy painted 3 walls for the treehouse. His dad painted five times that amount. The question is asking how many more walls his dad painted compared to Tommy. Hmm, okay. Let me break this down step by step.
First, Tommy painted 3 walls. That's straightforward. Then, his dad painted five tim... | [
{
"from": "human",
"value": "While building a treehouse, Tommy painted 3 walls, and his dad painted five times that amount. How many more walls did his dad paint compared to Tommy?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. So Tommy painted 3 walls for the treehouse. His dad painte... |
Natalie received $240 for her birthday. After spending one-sixth of it on a present, she then lost one-fourth of her remaining amount. How much money does she currently have? | 1. Start with the total amount Natalie received for her birthday: $240.
2. Calculate the amount she spent on a present:
\[ \text{Spent} = \frac{1}{6} \times 240 = 40 \text{ dollars} \]
Thus, after spending $40, Natalie's remaining amount is 240 - 40 = $200.
3. Next, calculate how much money she lost:
\[ \t... | Okay, let me try to figure out how much money Natalie has left after her birthday spending and losing some money. Hmm, she started with $240. First, she spent one-sixth of it on a present. Let me break that down.
One-sixth of $240 would be 240 divided by 6, right? Let me calculate that. 240 divided by 6 is 40. So, sh... | Natalie received $240 for her birthday. She spent one-sixth of it on a present, which is calculated as follows:
\[
\frac{1}{6} \times 240 = 40
\]
After spending $40, the remaining amount is:
\[
240 - 40 = 200
\]
She then lost one-fourth of her remaining amount. The amount lost is:
\[
\frac{1}{4} \times 200 = 50
\]
Subt... | 24,632 | MetaMath | <think>
Okay, let me try to figure out how much money Natalie has left after her birthday spending and losing some money. Hmm, she started with $240. First, she spent one-sixth of it on a present. Let me break that down.
One-sixth of $240 would be 240 divided by 6, right? Let me calculate that. 240 divided by 6 is 40... | [
{
"from": "human",
"value": "Natalie received $240 for her birthday. After spending one-sixth of it on a present, she then lost one-fourth of her remaining amount. How much money does she currently have?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let me try to figure out how much money Natali... |
Liam invited 3 friends over for a pizza party. They ordered X slices of pizza to share. If they decide to divide the pizza equally among themselves, each person will get 6 slices. What is the value of the unknown variable X? | To solve this problem, we need to determine the value of X, which represents the total number of pizza slices ordered by Liam and his 3 friends for the pizza party.
Let's break down the information given:
1. Liam invited 3 friends, so there are a total of 4 people (Liam + 3 friends).
2. If they divide the pizza equall... | Okay, let's see. So Liam invited 3 friends over for a pizza party. That means there are Liam plus 3 friends, so total of 4 people, right? Because when you invite friends, you have to count yourself too. Hmm, yeah, if he invited 3 friends, then the total number of people is 1 (Liam) + 3 (friends) = 4 people.
They order... | Liam invited 3 friends over for a pizza party, making a total of 4 people (Liam plus 3 friends). They ordered \( X \) slices of pizza and decided to divide them equally, with each person getting 6 slices.
To find \( X \), we multiply the number of people by the number of slices each person gets:
\[
X = 4 \times 6 = 2... | 25,139 | MetaMath | <think>
Okay, let's see. So Liam invited 3 friends over for a pizza party. That means there are Liam plus 3 friends, so total of 4 people, right? Because when you invite friends, you have to count yourself too. Hmm, yeah, if he invited 3 friends, then the total number of people is 1 (Liam) + 3 (friends) = 4 people.
Th... | [
{
"from": "human",
"value": "Liam invited 3 friends over for a pizza party. They ordered X slices of pizza to share. If they decide to divide the pizza equally among themselves, each person will get 6 slices. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOk... |
Lara wanted to become a doctor. She studied for X years to get her bachelor's degree in biology. After that, she spent 4 years in medical school and then completed a 1-year internship. How many years in total did Lara study to become a doctor? If we know the answer to the above question is 10, what is the value of unkn... | To solve the problem, we need to determine the value of X, which represents the number of years Lara studied for her bachelor's degree in biology before going to medical school.
Let's break down the information:
1. **Years studying for a bachelor's degree**: X years
2. **Years in medical school**: 4 years
3. **Y... | Okay, let's see. Lara wanted to become a doctor, right? The problem says she studied for X years to get her bachelor's degree in biology. Then she spent 4 years in medical school, and after that, a 1-year internship. The total number of years she studied to become a doctor is given as 10. So we need to find the value o... | Lara's total years of study to become a doctor are the sum of her bachelor's degree (X years), medical school (4 years), and internship (1 year). The equation is:
\[
X + 4 + 1 = 10
\]
Simplifying:
\[
X + 5 = 10
\]
Solving for \( X \):
\[
X = 10 - 5 = 5
\]
**Answer:** The value of \( X \) is \(\boxed{5}\). | 25,085 | MetaMath | <think>
Okay, let's see. Lara wanted to become a doctor, right? The problem says she studied for X years to get her bachelor's degree in biology. Then she spent 4 years in medical school, and after that, a 1-year internship. The total number of years she studied to become a doctor is given as 10. So we need to find the... | [
{
"from": "human",
"value": "Lara wanted to become a doctor. She studied for X years to get her bachelor's degree in biology. After that, she spent 4 years in medical school and then completed a 1-year internship. How many years in total did Lara study to become a doctor? If we know the answer to the above ... |
Tom has 6 goldfish weighing X kilograms each. The aquarium has 12 guppies that weigh 0.1 kilograms each. The guppies weigh 0 kilograms more than the goldfish. What is the value of the unknown variable X? | To solve this problem, we need to calculate the weight of the guppies and set it equal to the weight of the goldfish as the problem states that the guppies weigh the same as the goldfish. Let's break down the information given:
1. Number of goldfish = 6
2. Weight of each goldfish = X kilograms
3. Number of guppies = 1... | Okay, let's see. Tom has 6 goldfish, each weighing X kilograms. The aquarium also has 12 guppies, each weighing 0.1 kilograms. The problem says that the guppies weigh 0 kilograms more than the goldfish. Wait, that doesn't sound right. If the guppies weigh 0 kilograms more than the goldfish, that would mean their weight... | The total weight of the guppies is calculated by multiplying the number of guppies by their individual weight:
12 guppies × 0.1 kg/guppy = 1.2 kg.
The problem states that the guppies weigh **0 kilograms more** than the goldfish, meaning their total weights are equal. Let the total weight of the goldfish be \( 6X \... | 24,287 | MetaMath | <think>
Okay, let's see. Tom has 6 goldfish, each weighing X kilograms. The aquarium also has 12 guppies, each weighing 0.1 kilograms. The problem says that the guppies weigh 0 kilograms more than the goldfish. Wait, that doesn't sound right. If the guppies weigh 0 kilograms more than the goldfish, that would mean thei... | [
{
"from": "human",
"value": "Tom has 6 goldfish weighing X kilograms each. The aquarium has 12 guppies that weigh 0.1 kilograms each. The guppies weigh 0 kilograms more than the goldfish. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Tom ha... |
Tina has X times as many cookies as Dan. Dan has 1/2 as many cookies as Lily has. Tina has 25 more cookies than Lily, if Lily has 50. What is the value of the unknown variable X? | To solve this problem, we first need to break down the information and set up equations based on the descriptions given.
1. We know that Lily has 50 cookies.
2. Since Dan has 1/2 as many cookies as Lily, we can calculate how many cookies Dan has:
Dan's cookies = 1/2 * 50 = 25 cookies.
3. Tina has X times as... | Okay, let's see. Tina has X times as many cookies as Dan. Dan has 1/2 as many cookies as Lily. If Lily has 50 cookies, then Tina has 25 more than Lily. I need to find X. Hmm, let me break this down step by step.
First, Lily has 50 cookies. Dan has half as many as Lily, so Dan must have 50 divided by 2, which is 25 coo... | Let's solve the problem step by step.
1. **Lily's cookies:** Lily has 50 cookies.
2. **Dan's cookies:** Dan has half as many as Lily, so:
\[
\text{Dan} = \frac{1}{2} \times \text{Lily} = \frac{1}{2} \times 50 = 25
\]
3. **Tina's cookies:** Tina has 25 more cookies than Lily:
\[
\text{Tina} = \text{Lily}... | 24,720 | MetaMath | <think>
Okay, let's see. Tina has X times as many cookies as Dan. Dan has 1/2 as many cookies as Lily. If Lily has 50 cookies, then Tina has 25 more than Lily. I need to find X. Hmm, let me break this down step by step.
First, Lily has 50 cookies. Dan has half as many as Lily, so Dan must have 50 divided by 2, which i... | [
{
"from": "human",
"value": "Tina has X times as many cookies as Dan. Dan has 1/2 as many cookies as Lily has. Tina has 25 more cookies than Lily, if Lily has 50. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Tina has X times as many cookie... |
Kevin is learning to juggle and can master 8 tricks in 20 minutes. If he aims to learn a total of 40 tricks, how much time in minutes will it take him to accomplish this? | Kevin can master 8 tricks in 20 minutes. To find out how much time he takes to master 1 trick, we can set up the following ratio:
\[
\text{Time per trick} = \frac{20 \text{ minutes}}{8 \text{ tricks}} = 2.5 \text{ minutes per trick}.
\]
Now we need to find out how long it will take him to learn a total of 40 tricks.
\... | Okay, let's see. Kevin wants to learn 40 tricks, and he can master 8 tricks in 20 minutes. Hmm, so I need to figure out how much time he'll need to learn all 40 tricks.
First, maybe I should find out how long it takes him to learn one trick. If 8 tricks take 20 minutes, then per trick, it would be 20 divided by 8. Let... | Kevin can master 8 tricks in 20 minutes. To find out how long it takes him to learn one trick, we divide the total time by the number of tricks:
\[
\frac{20 \text{ minutes}}{8 \text{ tricks}} = 2.5 \text{ minutes per trick}
\]
Next, we calculate the total time needed to learn 40 tricks by multiplying the time per tric... | 24,674 | MetaMath | <think>
Okay, let's see. Kevin wants to learn 40 tricks, and he can master 8 tricks in 20 minutes. Hmm, so I need to figure out how much time he'll need to learn all 40 tricks.
First, maybe I should find out how long it takes him to learn one trick. If 8 tricks take 20 minutes, then per trick, it would be 20 divided b... | [
{
"from": "human",
"value": "Kevin is learning to juggle and can master 8 tricks in 20 minutes. If he aims to learn a total of 40 tricks, how much time in minutes will it take him to accomplish this?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Kevin wants to learn 40 tricks, and he ... |
Eric had 3 boxes of toys and later received 5 additional boxes as gifts. After a garage sale, he sold X boxes of toys. He has 2 boxes of toys now. What is the value of the unknown variable X? | To solve this problem, we will break down the information given step by step.
1. **Initial number of boxes**: Eric starts with 3 boxes of toys.
2. **Additional boxes received**: He receives 5 more boxes as gifts.
3. **Total boxes before the sale**: So initially, he had 3 + 5 = 8 boxes of toys.
4. **Boxes sold**: Eric ... | Okay, let's see. Eric had some boxes of toys and then got more, sold some, and now has a certain number left. I need to find out how many he sold. Hmm. Let me break this down step by step.
First, the problem says Eric had 3 boxes of toys initially. Then he received 5 additional boxes as gifts. So, if I add those toget... | Eric initially had 3 boxes of toys and received 5 more, giving him a total of \(3 + 5 = 8\) boxes. After selling \(X\) boxes, he had 2 left. The equation representing this situation is:
\[
8 - X = 2
\]
Solving for \(X\):
\[
X = 8 - 2 = 6
\]
**Answer:** The value of \(X\) is \(\boxed{6}\). | 24,407 | MetaMath | <think>
Okay, let's see. Eric had some boxes of toys and then got more, sold some, and now has a certain number left. I need to find out how many he sold. Hmm. Let me break this down step by step.
First, the problem says Eric had 3 boxes of toys initially. Then he received 5 additional boxes as gifts. So, if I add tho... | [
{
"from": "human",
"value": "Eric had 3 boxes of toys and later received 5 additional boxes as gifts. After a garage sale, he sold X boxes of toys. He has 2 boxes of toys now. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Eric had some boxe... |
If Eric sold 20 gift baskets at a price of $15 each, and he earned $80 from selling greeting cards, how much more did he earn from the gift baskets compared to the greeting cards? | First, we calculate the total earnings from the gift baskets. Eric sold 20 gift baskets, and each was sold for $15. Therefore, the total earnings from the gift baskets is:
\[ \text{Total from gift baskets} = 20 \times 15 = 300 \]
Next, we note that Eric earned $80 from selling greeting cards.
Now, we need to find ... | Okay, let's see here. The problem is asking how much more Eric earned from selling gift baskets compared to greeting cards. Alright, let me break this down step by step.
First, let's figure out how much he made from the gift baskets. He sold 20 gift baskets, each priced at $15. So, to find the total earnings from the ... | Eric earned $300 from selling 20 gift baskets at $15 each (20 × $15 = $300). He earned $80 from greeting cards. To find how much more he earned from the gift baskets, subtract the greeting card earnings:
$300 − $80 = **$220**.
**Answer:** Eric earned $220 more from the gift baskets than the greeting cards. | 24,238 | MetaMath | <think>
Okay, let's see here. The problem is asking how much more Eric earned from selling gift baskets compared to greeting cards. Alright, let me break this down step by step.
First, let's figure out how much he made from the gift baskets. He sold 20 gift baskets, each priced at $15. So, to find the total earnings f... | [
{
"from": "human",
"value": "If Eric sold 20 gift baskets at a price of $15 each, and he earned $80 from selling greeting cards, how much more did he earn from the gift baskets compared to the greeting cards?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see here. The problem is asking how... |
Sophia intends to sew bags for a charity event using 72 square meters of material. Each bag requires 6 square meters of material and takes 4 hours to make. How many total hours will she need to work to complete all the bags? | To find out how many bags Sophia can make with 72 square meters of material, we first need to calculate the number of bags she can make.
Each bag requires 6 square meters of material. Therefore, the number of bags she can make is:
\[ \text{Number of bags} = \frac{72 \text{ square meters}}{6 \text{ square meters per ... | Okay, let's see. Sophia wants to sew bags for a charity event, and she has 72 square meters of material. Each bag needs 6 square meters of material and takes 4 hours to make. The question is asking how many total hours she will need to work to complete all the bags.
Alright, first, I need to figure out how many bags s... | Sophia has 72 square meters of material and each bag requires 6 square meters of material. To find the number of bags she can make, we divide the total material by the material per bag:
\[
\text{Number of bags} = \frac{72 \text{ square meters}}{6 \text{ square meters per bag}} = 12 \text{ bags}
\]
Each bag takes 4 ho... | 25,232 | MetaMath | <think>
Okay, let's see. Sophia wants to sew bags for a charity event, and she has 72 square meters of material. Each bag needs 6 square meters of material and takes 4 hours to make. The question is asking how many total hours she will need to work to complete all the bags.
Alright, first, I need to figure out how man... | [
{
"from": "human",
"value": "Sophia intends to sew bags for a charity event using 72 square meters of material. Each bag requires 6 square meters of material and takes 4 hours to make. How many total hours will she need to work to complete all the bags?"
},
{
"from": "gpt",
"value": "<think>\nOk... |
If a carton of milk, which costs $3.00, contains 6 cups, and 12 children each want to drink 1 cup, how much will it cost for each child? | To find out how much it will cost for every child to drink one cup of milk, we first need to calculate the total amount of milk needed for the children.
1. **Determine the total cups needed:**
Each of the 12 children wants to drink 1 cup.
Therefore, total cups of milk needed = 12 cups.
2. **Determine how many... | Okay, let's see. I need to figure out how much each child has to pay if they want to drink a cup of milk from a carton that costs $3.00 and has 6 cups. There are 12 children, each wanting one cup. Hmm, first, maybe I should check how many cartons they need to buy. Since one carton has 6 cups, and there are 12 children,... | To determine the cost per child for 12 children each wanting 1 cup of milk:
1. **Calculate total cartons needed**:
- Each carton contains 6 cups.
- Total cups required = 12 children × 1 cup = 12 cups.
- Cartons needed = \( \frac{12 \text{ cups}}{6 \text{ cups/carton}} = 2 \text{ cartons} \).
2. **Total... | 24,485 | MetaMath | <think>
Okay, let's see. I need to figure out how much each child has to pay if they want to drink a cup of milk from a carton that costs $3.00 and has 6 cups. There are 12 children, each wanting one cup. Hmm, first, maybe I should check how many cartons they need to buy. Since one carton has 6 cups, and there are 12 c... | [
{
"from": "human",
"value": "If a carton of milk, which costs $3.00, contains 6 cups, and 12 children each want to drink 1 cup, how much will it cost for each child?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. I need to figure out how much each child has to pay if they want to drink... |
If a video game is priced at 60 cents, a headset at 100 cents, and a controller at 40 cents, how many dollars are required for someone to purchase one video game, two headsets, and one controller? | To find the total cost in dollars, we first need to calculate the total cost in cents.
1. The price of one video game is 60 cents.
2. The price of one headset is 100 cents, and since two headsets are needed, we calculate: 2 x 100 c = 200 cents.
3. The price of one controller is 40 cents.
Now, let's add these up:
- Co... | Okay, let me try to figure out this problem. So, the question is about calculating how many dollars someone needs to buy one video game, two headsets, and one controller. The prices are given in cents: the video game is 60 cents, the headset is 100 cents each, and the controller is 40 cents. Hmm, right. So, the first t... | To determine the total cost in dollars for purchasing one video game, two headsets, and one controller, follow these steps:
1. **Calculate individual costs:**
- Video game: \(60\) cents.
- Two headsets: \(2 \times 100 = 200\) cents.
- Controller: \(40\) cents.
2. **Sum the costs in cents:**
\[
60 + 200... | 24,639 | MetaMath | <think>
Okay, let me try to figure out this problem. So, the question is about calculating how many dollars someone needs to buy one video game, two headsets, and one controller. The prices are given in cents: the video game is 60 cents, the headset is 100 cents each, and the controller is 40 cents. Hmm, right. So, the... | [
{
"from": "human",
"value": "If a video game is priced at 60 cents, a headset at 100 cents, and a controller at 40 cents, how many dollars are required for someone to purchase one video game, two headsets, and one controller?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let me try to figure out... |
Kyle harvested 180 peaches from his orchard this year, but due to spoilage, 30 peaches were wasted. After excluding the wasted peaches, if Kyle sold 2/5 of the remaining good peaches, how many peaches does he have left? | 1. Start with the total number of peaches harvested by Kyle: 180 peaches.
2. Subtract the number of wasted peaches due to spoilage: 30 peaches.
Remaining good peaches = 180 - 30 = 150 peaches.
3. Calculate the number of peaches sold by Kyle, which is 2/5 of the remaining good peaches:
Sold peaches = (2/5) * 150 =... | Okay, let's see. So Kyle harvested 180 peaches, but 30 of them got spoiled. Hmm, first I need to figure out how many good peaches he has left after the spoilage. That should be the total harvested minus the wasted ones. So 180 minus 30. Let me calculate that. 180 - 30 is 150. Okay, so he has 150 good peaches remaining.... | Kyle harvested 180 peaches, but 30 were spoiled, leaving **150 good peaches**. He sold **2/5** of the remaining peaches:
\[
\frac{2}{5} \times 150 = 60 \text{ peaches sold}.
\]
Subtracting the sold peaches:
\[
150 - 60 = 90 \text{ peaches left}.
\]
**Final Answer:** Kyle has \boxed{90} peaches left. | 25,240 | MetaMath | <think>
Okay, let's see. So Kyle harvested 180 peaches, but 30 of them got spoiled. Hmm, first I need to figure out how many good peaches he has left after the spoilage. That should be the total harvested minus the wasted ones. So 180 minus 30. Let me calculate that. 180 - 30 is 150. Okay, so he has 150 good peaches re... | [
{
"from": "human",
"value": "Kyle harvested 180 peaches from his orchard this year, but due to spoilage, 30 peaches were wasted. After excluding the wasted peaches, if Kyle sold 2/5 of the remaining good peaches, how many peaches does he have left?"
},
{
"from": "gpt",
"value": "<think>\nOkay, l... |
A community center has X members. Each member contributed 5 dollars to the fund while 2 others contributed 7 dollars each. The total amount of money raised was 64. What is the value of the unknown variable X? | To solve this problem, we need to set up an equation based on the information given regarding the contributions of the community center members.
Let's break down the information:
1. The total number of members is X.
2. Each member contributed $5, which means that the contribution from all members is $5 * X.
3. There a... | Okay, let me try to figure out this problem. So, there's a community center with X members. Each of these members contributed 5 dollars. Then, there are 2 other people who contributed 7 dollars each. The total money raised was 64 dollars. We need to find X.
Hmm, let's break it down. First, the main group is the X memb... | The community center has \( X \) members who each contributed \$5, and 2 additional contributors who each gave \$7. The total amount raised is \$64.
Set up the equation:
\[
5X + 2 \times 7 = 64
\]
Simplify:
\[
5X + 14 = 64
\]
Subtract 14 from both sides:
\[
5X = 50
\]
Divide by 5:
\[
X = 10
\]
**Answer:** The value ... | 25,111 | MetaMath | <think>
Okay, let me try to figure out this problem. So, there's a community center with X members. Each of these members contributed 5 dollars. Then, there are 2 other people who contributed 7 dollars each. The total money raised was 64 dollars. We need to find X.
Hmm, let's break it down. First, the main group is th... | [
{
"from": "human",
"value": "A community center has X members. Each member contributed 5 dollars to the fund while 2 others contributed 7 dollars each. The total amount of money raised was 64. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let me try t... |
If each pack contains 25 cookies and Lisa can eat 100 cookies while her two friends can each consume 50 cookies, how many packs of cookies should Lisa buy for the gathering? | First, we need to calculate the total number of cookies that Lisa and her friends will consume during the gathering.
1. **Calculate Lisa's Cookie Consumption:**
Lisa can eat 100 cookies.
2. **Calculate Friends' Cookie Consumption:**
Each of Lisa's two friends can eat 50 cookies.
Therefore, the total ... | Okay, let's see. Lisa is having a gathering and needs to figure out how many packs of cookies to buy. Each pack has 25 cookies. The problem states that Lisa herself can eat 100 cookies, and her two friends can each eat 50 cookies. So, first, I need to calculate the total number of cookies needed, and then figure out ho... | Lisa needs a total of 100 (herself) + 50 (first friend) + 50 (second friend) = **200 cookies**.
Each pack contains **25 cookies**.
Number of packs required:
\[
\frac{200}{25} = 8
\]
**Answer:** Lisa should buy \boxed{8} packs of cookies. | 24,309 | MetaMath | <think>
Okay, let's see. Lisa is having a gathering and needs to figure out how many packs of cookies to buy. Each pack has 25 cookies. The problem states that Lisa herself can eat 100 cookies, and her two friends can each eat 50 cookies. So, first, I need to calculate the total number of cookies needed, and then figur... | [
{
"from": "human",
"value": "If each pack contains 25 cookies and Lisa can eat 100 cookies while her two friends can each consume 50 cookies, how many packs of cookies should Lisa buy for the gathering?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Lisa is having a gathering and needs... |
On his trip, Michael spends the first 2 nights in a hotel at a rate of $40 per night, and then he moves to an apartment that costs $120 per night for 5 nights. What is the total amount he spends on lodging? | First, we calculate the total cost for the hotel stay:
- Michael stays in the hotel for 2 nights at a rate of $40 per night.
- Total cost for the hotel = 2 nights × $40/night = $80.
Next, we calculate the total cost for the apartment:
- Michael stays in the apartment for 5 nights at a rate of $120 per night.
- Total c... | Okay, so Michael is going on a trip and he needs to figure out how much he's spending on lodging. Let me see. The problem says he spends the first 2 nights in a hotel at $40 per night. Then he moves to an apartment that costs $120 per night for 5 nights. I need to calculate the total amount he spends.
Alright, let's b... | Michael spends the first 2 nights in a hotel at a rate of $40 per night. The cost for the hotel stay is calculated as follows:
\[
2 \text{ nights} \times \$40 \text{ per night} = \$80
\]
After the hotel, he moves to an apartment that costs $120 per night for 5 nights. The cost for the apartment stay is calculated as f... | 25,233 | MetaMath | <think>
Okay, so Michael is going on a trip and he needs to figure out how much he's spending on lodging. Let me see. The problem says he spends the first 2 nights in a hotel at $40 per night. Then he moves to an apartment that costs $120 per night for 5 nights. I need to calculate the total amount he spends.
Alright,... | [
{
"from": "human",
"value": "On his trip, Michael spends the first 2 nights in a hotel at a rate of $40 per night, and then he moves to an apartment that costs $120 per night for 5 nights. What is the total amount he spends on lodging?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so Michael is ... |
Bryan completed a jog of 5 kilometers in 25 minutes and 30 seconds. What was his average time, in seconds, to jog one kilometer? | To find Bryan's average time to jog one kilometer, we first need to convert the total time he took to jog 5 kilometers into seconds.
1. Convert minutes to seconds:
- 25 minutes = 25 * 60 = 1500 seconds
2. Add the additional seconds:
- 30 seconds
3. Total time in seconds:
- Total time = 1500 seconds + 30 s... | Okay, so Bryan jogged 5 kilometers in 25 minutes and 30 seconds. The question is asking for his average time per kilometer in seconds. Let me think how to approach this.
First, I need to convert the total time he took into seconds because the answer needs to be in seconds. Right now, the time is given in minutes and s... | Bryan completed a jog of 5 kilometers in 25 minutes and 30 seconds. To find his average time per kilometer in seconds, we first convert the total time into seconds:
- Convert 25 minutes to seconds: \(25 \times 60 = 1500\) seconds.
- Add the additional 30 seconds: \(1500 + 30 = 1530\) seconds.
Next, we divide the tota... | 25,226 | MetaMath | <think>
Okay, so Bryan jogged 5 kilometers in 25 minutes and 30 seconds. The question is asking for his average time per kilometer in seconds. Let me think how to approach this.
First, I need to convert the total time he took into seconds because the answer needs to be in seconds. Right now, the time is given in minut... | [
{
"from": "human",
"value": "Bryan completed a jog of 5 kilometers in 25 minutes and 30 seconds. What was his average time, in seconds, to jog one kilometer?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so Bryan jogged 5 kilometers in 25 minutes and 30 seconds. The question is asking for his av... |
In a supermarket, there were 60 bags of chips stocked. If they sold 35 bags in the first half of the day, then they restocked X bags. The supermarket has 50 bags of chips now. What is the value of the unknown variable X? | To solve this problem, we need to determine the value of X, which represents the number of bags of chips restocked by the supermarket.
Let's break down the information given:
- Initial number of bags of chips: 60
- Number of bags sold: 35
- Number of bags restocked: X
- Current number of bags of chips: 50
We can set ... | Okay, let's see. So the problem is about a supermarket that had 60 bags of chips initially. Then they sold 35 bags in the first half of the day. After that, they restocked some number of bags, which is X. And now, the supermarket has 50 bags of chips. We need to find X. Hmm, let's break this down step by step.
First, ... | The supermarket started with 60 bags of chips. After selling 35 bags, they had 60 - 35 = 25 bags left. They restocked X bags, bringing the total to 25 + X. The final count is 50 bags, so:
\[
25 + X = 50
\]
Solving for \( X \):
\[
X = 50 - 25 = 25
\]
**Answer:** The value of \( X \) is \boxed{25}. | 24,520 | MetaMath | <think>
Okay, let's see. So the problem is about a supermarket that had 60 bags of chips initially. Then they sold 35 bags in the first half of the day. After that, they restocked some number of bags, which is X. And now, the supermarket has 50 bags of chips. We need to find X. Hmm, let's break this down step by step.
... | [
{
"from": "human",
"value": "In a supermarket, there were 60 bags of chips stocked. If they sold 35 bags in the first half of the day, then they restocked X bags. The supermarket has 50 bags of chips now. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, ... |
James started with 200 marbles and gave 10 marbles to each of his 4 classmates. After that, he discarded one-tenth of the marbles he had left. Later, he discovered 15 additional marbles. How many marbles does he currently have? | 1. James starts with 200 marbles.
2. He gives 10 marbles to each of his 4 classmates: 10 marbles/classmate × 4 classmates = 40 marbles given away.
3. After giving away the marbles, James has: \(200 - 40 = 160\) marbles left.
4. James discards one-tenth of the marbles he has left: \(\frac{1}{10} \times 160 = 16\) marble... | Okay, let's see. James starts with 200 marbles. He gives 10 marbles to each of his 4 classmates. Hmm, so first I need to figure out how many marbles he gives away in total. If each classmate gets 10 marbles, then 10 marbles times 4 classmates. That should be 10 * 4. Let me calculate that. 10 times 4 is 40. So he gives ... | James began with 200 marbles.
1. **Gave to classmates**: 10 marbles × 4 classmates = 40 marbles given away.
Remaining marbles: 200 - 40 = **160**.
2. **Discarded marbles**: \( \frac{1}{10} \times 160 = 16 \) marbles discarded.
Remaining marbles: 160 - 16 = **144**.
3. **Discovered marbles**: 144 + 15 = ... | 25,100 | MetaMath | <think>
Okay, let's see. James starts with 200 marbles. He gives 10 marbles to each of his 4 classmates. Hmm, so first I need to figure out how many marbles he gives away in total. If each classmate gets 10 marbles, then 10 marbles times 4 classmates. That should be 10 * 4. Let me calculate that. 10 times 4 is 40. So h... | [
{
"from": "human",
"value": "James started with 200 marbles and gave 10 marbles to each of his 4 classmates. After that, he discarded one-tenth of the marbles he had left. Later, he discovered 15 additional marbles. How many marbles does he currently have?"
},
{
"from": "gpt",
"value": "<think>\... |
Nina painted 7 canvases. Tom painted three times that amount, and Lucy painted five times what Nina painted. What is the total number of canvases painted by all three? | 1. Nina painted 7 canvases.
2. Tom painted three times what Nina painted: 3 × 7 = 21 canvases.
3. Lucy painted five times what Nina painted: 5 × 7 = 35 canvases.
4. Now, we will calculate the total number of canvases painted by all three:
- Total = Nina's canvases + Tom's canvases + Lucy's canvases
- Total = 7 + ... | Okay, let's see. The problem is about Nina, Tom, and Lucy painting canvases. I need to find the total number they all painted together. Let me break it down step by step.
First, Nina painted 7 canvases. That's straightforward. So Nina = 7.
Next, Tom painted three times that amount. Hmm, "that amount" refers to Nina's... | Nina painted 7 canvases. Tom painted three times that amount, which is \(3 \times 7 = 21\) canvases. Lucy painted five times what Nina painted, which is \(5 \times 7 = 35\) canvases.
To find the total number of canvases painted by all three, we add their contributions together:
\[
7 + 21 + 35 = 63
\]
The total numbe... | 25,059 | MetaMath | <think>
Okay, let's see. The problem is about Nina, Tom, and Lucy painting canvases. I need to find the total number they all painted together. Let me break it down step by step.
First, Nina painted 7 canvases. That's straightforward. So Nina = 7.
Next, Tom painted three times that amount. Hmm, "that amount" refers t... | [
{
"from": "human",
"value": "Nina painted 7 canvases. Tom painted three times that amount, and Lucy painted five times what Nina painted. What is the total number of canvases painted by all three?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. The problem is about Nina, Tom, and Lucy p... |
Tom collected 90 stickers. He chooses to gift X stickers to his best friend and then wants to split the remaining stickers among himself and 6 classmates. Each person gets 10 stickers. What is the value of the unknown variable X? | To solve this problem, we need to determine the value of X, which represents the number of stickers Tom gifts to his best friend.
Let's break down the information given:
1. Tom collected a total of 90 stickers.
2. Tom gifts X stickers to his best friend.
3. He wants to split the remaining stickers among himself and 6 ... | Okay, let's see. Tom has 90 stickers. He gives X stickers to his best friend first. Then, he wants to split the remaining stickers among himself and 6 classmates. Each person gets 10 stickers. We need to find X.
Hmm, let me break this down. So, total stickers Tom has initially: 90. He gives away X stickers to his frie... | Tom collected 90 stickers. He gives \( X \) stickers to his best friend, leaving him with \( 90 - X \) stickers. He then splits the remaining stickers among himself and 6 classmates, which is a total of 7 people. Each person gets 10 stickers, so the total number of stickers needed is \( 7 \times 10 = 70 \).
The equati... | 24,145 | MetaMath | <think>
Okay, let's see. Tom has 90 stickers. He gives X stickers to his best friend first. Then, he wants to split the remaining stickers among himself and 6 classmates. Each person gets 10 stickers. We need to find X.
Hmm, let me break this down. So, total stickers Tom has initially: 90. He gives away X stickers to ... | [
{
"from": "human",
"value": "Tom collected 90 stickers. He chooses to gift X stickers to his best friend and then wants to split the remaining stickers among himself and 6 classmates. Each person gets 10 stickers. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think... |
Find d so that the vectors \begin{pmatrix} X \ -7 \end{pmatrix} and \begin{pmatrix} d \ 1 \end{pmatrix} are orthogonal. If we know the answer to the above question is 0.7, what is the value of unknown variable X? | To determine the value of \( X \) such that the vectors \( \begin{pmatrix} X \\ -7 \end{pmatrix} \) and \( \begin{pmatrix} d \\ 1 \end{pmatrix} \) are orthogonal, we need to use the property that two vectors are orthogonal if their dot product is zero.
The dot product of the vectors is given by:
\[ \begin{pmatrix} X ... | Okay, so I need to find the value of X such that the vectors [X, -7] and [d, 1] are orthogonal, given that d is 0.7. Hmm, let me recall. Orthogonal vectors have a dot product of zero, right? So the dot product of these two vectors should be zero. Let me write that out.
The dot product is X*d + (-7)*1. That should equa... | To find the value of \( X \) such that the vectors \(\begin{pmatrix} X \\ -7 \end{pmatrix}\) and \(\begin{pmatrix} d \\ 1 \end{pmatrix}\) are orthogonal, we need their dot product to be zero. Given \( d = 0.7 \), we calculate the dot product as follows:
\[
X \cdot 0.7 + (-7) \cdot 1 = 0
\]
Simplifying this equation:
... | 24,197 | MetaMath | <think>
Okay, so I need to find the value of X such that the vectors [X, -7] and [d, 1] are orthogonal, given that d is 0.7. Hmm, let me recall. Orthogonal vectors have a dot product of zero, right? So the dot product of these two vectors should be zero. Let me write that out.
The dot product is X*d + (-7)*1. That sho... | [
{
"from": "human",
"value": "Find d so that the vectors \\begin{pmatrix} X \\ -7 \\end{pmatrix} and \\begin{pmatrix} d \\ 1 \\end{pmatrix} are orthogonal. If we know the answer to the above question is 0.7, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so... |
A farmer planted 100 trees in his orchard. He planted X apple trees and 40 cherry trees. How many trees of other types did he plant? If we know the answer to the above question is 25, what is the value of unknown variable X? | To solve this problem, we need to determine how many other types of trees the farmer planted and use that information to find the value of the unknown variable X, which represents the number of apple trees.
Let's break down the information given:
- Total number of trees planted: 100 trees
- Number of cherry trees pla... | Okay, let me try to figure out this problem. So, the farmer planted a total of 100 trees in his orchard. Out of these, some are apple trees, which is represented by X, and 40 are cherry trees. The question is asking how many trees of other types he planted, and we know the answer to that is 25. So, we need to find the ... | The farmer planted a total of 100 trees in his orchard. He planted \( X \) apple trees, 40 cherry trees, and 25 other types of trees. To find the value of \( X \), we set up the equation:
\[
X + 40 + 25 = 100
\]
Simplifying the left side, we get:
\[
X + 65 = 100
\]
Subtracting 65 from both sides of the equation, we... | 24,499 | MetaMath | <think>
Okay, let me try to figure out this problem. So, the farmer planted a total of 100 trees in his orchard. Out of these, some are apple trees, which is represented by X, and 40 are cherry trees. The question is asking how many trees of other types he planted, and we know the answer to that is 25. So, we need to f... | [
{
"from": "human",
"value": "A farmer planted 100 trees in his orchard. He planted X apple trees and 40 cherry trees. How many trees of other types did he plant? If we know the answer to the above question is 25, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOk... |
Ethan demonstrates a game to Olivia that predicts his marriage age based on his name and current age. At 13 years old, the game calculates this by adding the number of letters in his name to five times his age. What age does the game predict Ethan will marry? | To calculate the age at which the game predicts Ethan will marry, we need to follow the formula it uses, which is:
Marriage Age = (number of letters in Ethan's name) + (5 * current age)
1. First, determine the number of letters in Ethan's name. The name "Ethan" has 5 letters.
2. Next, find out Ethan's current age. ... | Okay, so Ethan is showing Olivia this game that predicts when he'll get married based on his name and current age. Let's see, he's 13 now. The game uses the number of letters in his name and adds five times his current age. Hmm, let me break this down step by step.
First, I need to figure out how many letters are in E... | The game predicts Ethan's marriage age by adding the number of letters in his name to five times his current age.
1. **Number of letters in "Ethan":**
E-T-H-A-N has **5 letters**.
2. **Five times Ethan's current age (13):**
\( 5 \times 13 = 65 \).
3. **Predicted marriage age:**
\( 5 \, (\text{letters... | 24,819 | MetaMath | <think>
Okay, so Ethan is showing Olivia this game that predicts when he'll get married based on his name and current age. Let's see, he's 13 now. The game uses the number of letters in his name and adds five times his current age. Hmm, let me break this down step by step.
First, I need to figure out how many letters ... | [
{
"from": "human",
"value": "Ethan demonstrates a game to Olivia that predicts his marriage age based on his name and current age. At 13 years old, the game calculates this by adding the number of letters in his name to five times his age. What age does the game predict Ethan will marry?"
},
{
"from... |
Maria biked X miles on Sunday, carrying a 25-pound bag. She is 5 feet 6 inches tall. She spent 5 hours biking. The temperature during the day was 75 degrees Fahrenheit. Maria's average biking pace was 6 miles per hour. What is the value of the unknown variable X? | To find the value of the unknown variable X, which represents the miles Maria biked, we can use her average biking pace and the time she spent biking.
1. **Identify the average biking pace**: It is given that Maria's average biking pace was 6 miles per hour.
2. **Identify the time spent biking**: Maria spent 5 hours b... | Okay, let's see. Maria biked X miles on Sunday. She carried a 25-pound bag, is 5 feet 6 inches tall, spent 5 hours biking, the temperature was 75 degrees Fahrenheit, and her average pace was 6 miles per hour. The question is asking for the value of X.
Hmm, so we need to figure out how many miles she biked. The key in... | Maria's average biking pace was 6 miles per hour, and she spent 5 hours biking. To find the distance \( X \) she biked, we use the formula for distance, which is speed multiplied by time:
\[
X = \text{speed} \times \text{time} = 6 \, \text{mph} \times 5 \, \text{hours} = 30 \, \text{miles}
\]
The other details provid... | 24,347 | MetaMath | <think>
Okay, let's see. Maria biked X miles on Sunday. She carried a 25-pound bag, is 5 feet 6 inches tall, spent 5 hours biking, the temperature was 75 degrees Fahrenheit, and her average pace was 6 miles per hour. The question is asking for the value of X.
Hmm, so we need to figure out how many miles she biked. Th... | [
{
"from": "human",
"value": "Maria biked X miles on Sunday, carrying a 25-pound bag. She is 5 feet 6 inches tall. She spent 5 hours biking. The temperature during the day was 75 degrees Fahrenheit. Maria's average biking pace was 6 miles per hour. What is the value of the unknown variable X?"
},
{
"... |
A candy shop ordered 3 crates of chocolates. Each crate contains 10 boxes of chocolates, and each box has X pieces of chocolate. There are 450 pieces of chocolate. What is the value of the unknown variable X? | To solve this problem, we need to determine the value of X, which represents the number of pieces of chocolate in each box.
Let's break down the information given:
- The candy shop ordered 3 crates of chocolates.
- Each crate contains 10 boxes of chocolates.
- Each box has X pieces of chocolate.
- The total number of ... | Okay, so I need to figure out the value of X here. Let me start by understanding the problem step by step. The candy shop ordered 3 crates of chocolates. Each crate has 10 boxes, and each box contains X pieces of chocolate. The total number of pieces is 450. So, I need to find how many pieces are in each box, right?
L... | The candy shop has 3 crates, each containing 10 boxes. To find the total number of boxes:
\[
3 \text{ crates} \times 10 \frac{\text{boxes}}{\text{crate}} = 30 \text{ boxes}
\]
Each box contains \(X\) pieces, so the total number of chocolates is:
\[
30 \text{ boxes} \times X \frac{\text{pieces}}{\text{box}} = 30X... | 24,128 | MetaMath | <think>
Okay, so I need to figure out the value of X here. Let me start by understanding the problem step by step. The candy shop ordered 3 crates of chocolates. Each crate has 10 boxes, and each box contains X pieces of chocolate. The total number of pieces is 450. So, I need to find how many pieces are in each box, r... | [
{
"from": "human",
"value": "A candy shop ordered 3 crates of chocolates. Each crate contains 10 boxes of chocolates, and each box has X pieces of chocolate. There are 450 pieces of chocolate. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so I need to... |
A construction worker builds 3 walls every day. How many walls can he build in X days? If we know the answer to the above question is 42, what is the value of unknown variable X? | To solve this problem, we need to determine the value of X, which represents the number of days the construction worker works.
We know that the construction worker builds 3 walls every day. Therefore, the total number of walls he can build in X days is given by the equation:
Total walls = Walls per day * Number of da... | Okay, let's see. So the problem is: A construction worker builds 3 walls every day. How many walls can he build in X days? Then it says if the answer is 42, what is X?
Hmm, so first, I need to figure out the relationship between the number of walls and the number of days. The worker builds 3 walls each day, right? So ... | The construction worker builds 3 walls per day. To find the total number of walls built in \( X \) days, we use the formula:
\[
\text{Total Walls} = 3 \times X
\]
Given the total walls are 42, we solve for \( X \):
\[
42 = 3X \implies X = \frac{42}{3} = 14
\]
**Answer:** The value of \( X \) is \(\boxed{14}\). | 24,713 | MetaMath | <think>
Okay, let's see. So the problem is: A construction worker builds 3 walls every day. How many walls can he build in X days? Then it says if the answer is 42, what is X?
Hmm, so first, I need to figure out the relationship between the number of walls and the number of days. The worker builds 3 walls each day, ri... | [
{
"from": "human",
"value": "A construction worker builds 3 walls every day. How many walls can he build in X days? If we know the answer to the above question is 42, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. So the problem is: A constructi... |
Given that you have an 8 GB external hard drive with 60% of its capacity occupied, how many gigabytes of space remain available? | First, we need to find out how much space is currently occupied on the external hard drive. Given that the total capacity of the drive is 8 GB and that 60% of the capacity is occupied, we can calculate the occupied space as follows:
Occupied space = 60% of 8 GB
= 0.60 × 8 GB
= 4.8 GB
Next, to find the remaining avail... | Okay, let's see. The user has an 8 GB external hard drive, and 60% of it is already used. They want to know how many gigabytes are left available. Hmm, right. So first, I need to figure out how much space is taken up by the 60%, and then subtract that from the total to get the remaining space.
Wait, let me make sure ... | To determine the available space on an 8 GB external hard drive with 60% occupied:
1. **Calculate the remaining percentage**:
\[
100\% - 60\% = 40\% \text{ free}
\]
2. **Compute 40% of 8 GB**:
\[
8 \, \text{GB} \times 0.4 = 3.2 \, \text{GB}
\]
**Answer**: \(\boxed{3.2}\) gigabytes of space rema... | 24,637 | MetaMath | <think>
Okay, let's see. The user has an 8 GB external hard drive, and 60% of it is already used. They want to know how many gigabytes are left available. Hmm, right. So first, I need to figure out how much space is taken up by the 60%, and then subtract that from the total to get the remaining space.
Wait, let me ma... | [
{
"from": "human",
"value": "Given that you have an 8 GB external hard drive with 60% of its capacity occupied, how many gigabytes of space remain available?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. The user has an 8 GB external hard drive, and 60% of it is already used. They wan... |
Sophie gave her dad Andy X of coffee. Andy's diet allows him to have a maximum of 4 times that amount of coffee. He can have 26 more oz of coffee after receiving Sophie's, having already had 16oz earlier that morning. What is the value of the unknown variable X? | To solve this problem, we need to determine the value of X, which represents the amount of coffee Sophie gave to her dad, Andy.
Let's break down the information given:
1. Andy can have a maximum of 4 times the amount of coffee he received from Sophie.
2. He can have 26 more ounces of coffee after receiving Sophie's co... | Okay, let's see. Sophie gave her dad Andy X ounces of coffee. Andy's diet allows him to have a maximum of 4 times that amount. So, the maximum coffee Andy can have is 4X ounces.
He can have 26 more ounces of coffee after receiving Sophie's, and he already had 16 ounces earlier that morning. Hmm. So, after getting X o... | Sophie gave Andy \( X \) ounces of coffee. Andy's maximum allowed coffee intake is \( 4X \) ounces. He already consumed \( 16 \) oz earlier and can still have \( 26 \) oz after receiving Sophie's coffee. The total coffee consumed or planned is \( 16 + X + 26 \), which equals his maximum allowance \( 4X \):
\[
16 + X +... | 25,049 | MetaMath | <think>
Okay, let's see. Sophie gave her dad Andy X ounces of coffee. Andy's diet allows him to have a maximum of 4 times that amount. So, the maximum coffee Andy can have is 4X ounces.
He can have 26 more ounces of coffee after receiving Sophie's, and he already had 16 ounces earlier that morning. Hmm. So, after get... | [
{
"from": "human",
"value": "Sophie gave her dad Andy X of coffee. Andy's diet allows him to have a maximum of 4 times that amount of coffee. He can have 26 more oz of coffee after receiving Sophie's, having already had 16oz earlier that morning. What is the value of the unknown variable X?"
},
{
"f... |
James has 3 new video games. Sophie has X more new video games than James. If Dave has 4 more new video games than Sophie, how many new video games does Dave have? If we know the answer to the above question is 13, what is the value of unknown variable X? | To solve this problem, we need to establish the relationship between the number of video games James, Sophie, and Dave have.
1. James has 3 new video games.
2. Sophie has X more new video games than James, so she has: \(3 + X\).
3. Dave has 4 more new video games than Sophie, so he has: \( (3 + X) + 4 = 7 + X \).
We ... | Okay, let's tackle this problem step by step. So, James has 3 new video games. Sophie has X more than James. Then Dave has 4 more than Sophie. The question is asking for the value of X if we know that Dave ends up with 13 new video games. Alright, let's break it down.
First, let's figure out how many video games each ... | James has 3 new video games. Sophie has \( X \) more than James, so Sophie has \( 3 + X \) new video games. Dave has 4 more than Sophie, so Dave has \( (3 + X) + 4 \) new video games.
Given that Dave has 13 new video games, we set up the equation:
\[
3 + X + 4 = 13
\]
Simplifying:
\[
7 + X = 13
\]
Subtracting 7 from ... | 24,306 | MetaMath | <think>
Okay, let's tackle this problem step by step. So, James has 3 new video games. Sophie has X more than James. Then Dave has 4 more than Sophie. The question is asking for the value of X if we know that Dave ends up with 13 new video games. Alright, let's break it down.
First, let's figure out how many video gam... | [
{
"from": "human",
"value": "James has 3 new video games. Sophie has X more new video games than James. If Dave has 4 more new video games than Sophie, how many new video games does Dave have? If we know the answer to the above question is 13, what is the value of unknown variable X?"
},
{
"from": "... |
As a gift, Sam receives a crate that can hold X marbles when filled completely. Later, his friend Nina receives an even larger crate that is twice as high, twice as wide, and twice as long as Sam's crate. Nina's crate can hold 4000 marbles. What is the value of the unknown variable X? | To find the value of the unknown variable X, we need to understand the relationship between the sizes of the two crates based on their dimensions.
Since Nina's crate is twice as high, twice as wide, and twice as long as Sam's crate, we can conclude that the volume of Nina's crate is calculated as follows:
If the dime... | Okay, so Sam has a crate that can hold X marbles when it's completely full. Then Nina gets a crate that's twice as high, twice as wide, and twice as long as Sam's. And Nina's crate can hold 4000 marbles. The question is asking for X, the number of marbles Sam's crate can hold.
Hmm, let me think. So first, crates are t... | Nina's crate has dimensions that are each twice those of Sam's crate. Since volume scales with the product of length, width, and height, Nina's crate has \(2 \times 2 \times 2 = 8\) times the volume of Sam's. Let \(X\) represent the number of marbles Sam's crate holds. Then:
\[
8X = 4000
\]
Solving for \(X\):
\[
X =... | 24,032 | MetaMath | <think>
Okay, so Sam has a crate that can hold X marbles when it's completely full. Then Nina gets a crate that's twice as high, twice as wide, and twice as long as Sam's. And Nina's crate can hold 4000 marbles. The question is asking for X, the number of marbles Sam's crate can hold.
Hmm, let me think. So first, crat... | [
{
"from": "human",
"value": "As a gift, Sam receives a crate that can hold X marbles when filled completely. Later, his friend Nina receives an even larger crate that is twice as high, twice as wide, and twice as long as Sam's crate. Nina's crate can hold 4000 marbles. What is the value of the unknown varia... |
If John has an invoice totaling $250 that has accumulated a 4% penalty for late payment, what will be the total amount he needs to pay to settle the invoice? | To find the total amount John needs to pay after a 4% penalty on the $250 invoice, we follow these steps:
1. **Calculate the penalty amount:**
The penalty is 4% of the original invoice amount. To find the penalty, we can calculate it as follows:
\[ \text{Penalty} = 250 \times 0.04 \]
\[ \text{Penalty} = 10 ... | Okay, let's see. John has an invoice for $250, and he paid it late, so there's a 4% penalty. I need to figure out the total amount he has to pay now, including the penalty.
First, I should remember how to calculate percentages. A percentage is a part of a whole, right? So 4% of $250 would be the penalty fee. Then, ad... | John's original invoice is $250. A 4% late penalty is calculated as:
\[
\text{Penalty} = 250 \times 0.04 = 10
\]
Adding the penalty to the original amount:
\[
\text{Total} = 250 + 10 = 260
\]
**Answer:** John needs to pay $\boxed{260}$ dollars to settle the invoice. | 24,668 | MetaMath | <think>
Okay, let's see. John has an invoice for $250, and he paid it late, so there's a 4% penalty. I need to figure out the total amount he has to pay now, including the penalty.
First, I should remember how to calculate percentages. A percentage is a part of a whole, right? So 4% of $250 would be the penalty fee. ... | [
{
"from": "human",
"value": "If John has an invoice totaling $250 that has accumulated a 4% penalty for late payment, what will be the total amount he needs to pay to settle the invoice?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. John has an invoice for $250, and he paid it late, s... |
Anna is a jeweler. Robyn ordered X necklaces for $200 each and 2 rings for $150 each. Robyn should pay Anna 900. What is the value of the unknown variable X? | To solve this problem, we need to determine the value of X, which represents the number of necklaces Robyn ordered from Anna.
Let's break down the information given:
- Cost of each necklace: $200
- Number of rings ordered: 2
- Cost of each ring: $150
- Total cost to be paid: $900
We can set up the equation as follow... | Okay, let's see. Anna is a jeweler, and Robyn ordered some necklaces and rings from her. The problem says that Robyn ordered X necklaces for $200 each and 2 rings for $150 each. The total amount Robyn should pay Anna is $900. We need to find the value of X, which is the number of necklaces.
First, let me break down th... | Robyn ordered X necklaces at $200 each and 2 rings at $150 each. The total cost is calculated as:
\[
200X + 2 \times 150 = 900
\]
Simplify the equation:
\[
200X + 300 = 900
\]
Subtract 300 from both sides:
\[
200X = 600
\]
Divide by 200:
\[
X = \frac{600}{200} = 3
\]
**Answer:** The value of X is \boxed{3}. | 24,223 | MetaMath | <think>
Okay, let's see. Anna is a jeweler, and Robyn ordered some necklaces and rings from her. The problem says that Robyn ordered X necklaces for $200 each and 2 rings for $150 each. The total amount Robyn should pay Anna is $900. We need to find the value of X, which is the number of necklaces.
First, let me break... | [
{
"from": "human",
"value": "Anna is a jeweler. Robyn ordered X necklaces for $200 each and 2 rings for $150 each. Robyn should pay Anna 900. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Anna is a jeweler, and Robyn ordered some necklaces ... |
Mark possesses double the number of candies that Lisa has. Lisa has 5 fewer candies than her friend Anna, who has 20 candies. How many candies does Mark have? | First, we need to determine how many candies Lisa has. According to the problem, Anna has 20 candies, and Lisa has 5 fewer candies than Anna.
1. Calculate Lisa's candies:
\[ \text{Lisa's candies} = \text{Anna's candies} - 5 = 20 - 5 = 15 \]
2. According to the problem, Mark has double the number of candies t... | Okay, let me try to figure out how many candies Mark has. Hmm, the problem says Mark has double the number of candies that Lisa has. But first, I need to find out how many candies Lisa has.
Wait, the problem also mentions Lisa has 5 fewer candies than her friend Anna, who has 20 candies. So Anna has 20 candies. If Li... | Mark has **30 candies**.
**Step-by-Step Explanation:**
1. **Anna's Candies:** Anna has 20 candies.
2. **Lisa's Candies:** Lisa has 5 fewer than Anna, so \( 20 - 5 = 15 \) candies.
3. **Mark's Candies:** Mark has double Lisa's amount, so \( 15 \times 2 = 30 \) candies.
**Answer:** Mark has \boxed{30} candies. | 24,173 | MetaMath | <think>
Okay, let me try to figure out how many candies Mark has. Hmm, the problem says Mark has double the number of candies that Lisa has. But first, I need to find out how many candies Lisa has.
Wait, the problem also mentions Lisa has 5 fewer candies than her friend Anna, who has 20 candies. So Anna has 20 candie... | [
{
"from": "human",
"value": "Mark possesses double the number of candies that Lisa has. Lisa has 5 fewer candies than her friend Anna, who has 20 candies. How many candies does Mark have?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let me try to figure out how many candies Mark has. Hmm, the p... |
In a library with X books, 45 books are fiction, 120 are non-fiction, and 25 are both. How many books are neither fiction nor non-fiction? If we know the answer to the above question is 60, what is the value of unknown variable X? | To solve this problem, we will first understand the given information and use it to set up our equation.
We are told:
- Total number of books in the library: X
- Number of fiction books: 45
- Number of non-fiction books: 120
- Number of books that are both fiction and non-fiction: 25
To find the number of books that ... | Okay, let's see. So, the problem is about a library with X books. There are 45 fiction books, 120 non-fiction books, and 25 that are both fiction and non-fiction. Then they ask how many books are neither fiction nor non-fiction, and they mention that the answer is 60. We need to find the value of X.
Hmm, right. This ... | To determine the value of \( X \), we use the principle of inclusion-exclusion.
First, we calculate the number of books that are either fiction or non-fiction:
\[
\text{Total fiction or non-fiction} = \text{Fiction} + \text{Non-fiction} - \text{Both}
\]
\[
= 45 + 120 - 25 = 140
\]
Next, we know the number of books t... | 24,376 | MetaMath | <think>
Okay, let's see. So, the problem is about a library with X books. There are 45 fiction books, 120 non-fiction books, and 25 that are both fiction and non-fiction. Then they ask how many books are neither fiction nor non-fiction, and they mention that the answer is 60. We need to find the value of X.
Hmm, righ... | [
{
"from": "human",
"value": "In a library with X books, 45 books are fiction, 120 are non-fiction, and 25 are both. How many books are neither fiction nor non-fiction? If we know the answer to the above question is 60, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "<thin... |
Emma owns 8 penguins, 1 seal, and three times the number of dolphins as the total number of her penguins and seal. What is the total number of marine animals that Emma has? | First, we need to determine the total number of penguins and seals that Emma owns.
1. **Count Penguins and Seal:**
- Penguins: 8
- Seal: 1
Total (Penguins + Seal) = 8 + 1 = 9
2. **Calculate Dolphins:**
- The number of dolphins is three times the total number of penguins and seals:
- Do... | Okay, let's see. Emma has some marine animals, and I need to find the total number. Let me start by listing out what she has.
First, it says she owns 8 penguins. That's straightforward. Then she has 1 seal. So penguins and seals are direct numbers. Now, the next part says she has three times the number of dolphins as ... | Emma owns 8 penguins and 1 seal. The number of dolphins she owns is three times the total number of penguins and seals.
First, we calculate the total number of penguins and seals:
\[
8 \text{ penguins} + 1 \text{ seal} = 9 \text{ animals}
\]
Next, we find the number of dolphins, which is three times this total:
\[
3... | 24,064 | MetaMath | <think>
Okay, let's see. Emma has some marine animals, and I need to find the total number. Let me start by listing out what she has.
First, it says she owns 8 penguins. That's straightforward. Then she has 1 seal. So penguins and seals are direct numbers. Now, the next part says she has three times the number of dolp... | [
{
"from": "human",
"value": "Emma owns 8 penguins, 1 seal, and three times the number of dolphins as the total number of her penguins and seal. What is the total number of marine animals that Emma has?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Emma has some marine animals, and I n... |
What is the total sum of degrees for the week if the average temperature is 24.8 degrees Celsius? | To find the total sum of degrees for the week when the average temperature is 24.8 degrees Celsius, we first need to realize that a week consists of 7 days.
The average temperature is given by the formula:
\[ \text{Average} = \frac{\text{Total Sum of Degrees}}{\text{Number of Days}} \]
From this, we can rearrang... | Okay, let me see. The problem is asking for the total sum of degrees for the week when the average temperature is 24.8 degrees Celsius. Hmm. So, first, I need to recall how averages work. An average is calculated by taking the total sum of all the values divided by the number of values. Right. So, in this case, the ave... | The total sum of degrees for the week can be calculated by multiplying the average temperature by the number of days in the week:
\[
\text{Total sum} = \text{Average temperature} \times \text{Number of days} = 24.8 \, ^\circ\text{C} \times 7 = 173.6 \, ^\circ\text{C}
\]
**Answer:** The total sum of degrees for the we... | 24,683 | MetaMath | <think>
Okay, let me see. The problem is asking for the total sum of degrees for the week when the average temperature is 24.8 degrees Celsius. Hmm. So, first, I need to recall how averages work. An average is calculated by taking the total sum of all the values divided by the number of values. Right. So, in this case,... | [
{
"from": "human",
"value": "What is the total sum of degrees for the week if the average temperature is 24.8 degrees Celsius?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let me see. The problem is asking for the total sum of degrees for the week when the average temperature is 24.8 degrees Ce... |
Lisa wants a new bicycle that costs $300. She plans to make money by selling lemonade for $2 per cup. She needs to sell 10 cups of lemonade daily. What is the value of the unknown variable X? | To solve this problem, we need to figure out how much money Lisa will make from selling lemonade and how long it will take her to save up for the bicycle that costs $300.
Let's break down the information given:
- Cost of the bicycle: $300
- Price per cup of lemonade: $2
- Cups of lemonade Lisa plans to sell daily: 10
... | Okay, let's see. Lisa wants a bicycle that costs $300. She's selling lemonade at $2 per cup and needs to sell 10 cups each day. The question is asking for the value of the unknown variable X. Hmm, but wait, the problem statement doesn't explicitly mention what X represents. Maybe I need to infer that from the context.
... | Lisa earns $2 per cup of lemonade and sells 10 cups daily, resulting in a daily income of:
\[
10 \text{ cups/day} \times \$2/\text{cup} = \$20 \text{ per day}.
\]
To determine the number of days (\(X\)) needed to save \$300:
\[
X = \frac{\$300}{\$20/\text{day}} = 15 \text{ days}.
\]
**Answer:** \(X = 15\). | 24,352 | MetaMath | <think>
Okay, let's see. Lisa wants a bicycle that costs $300. She's selling lemonade at $2 per cup and needs to sell 10 cups each day. The question is asking for the value of the unknown variable X. Hmm, but wait, the problem statement doesn't explicitly mention what X represents. Maybe I need to infer that from the c... | [
{
"from": "human",
"value": "Lisa wants a new bicycle that costs $300. She plans to make money by selling lemonade for $2 per cup. She needs to sell 10 cups of lemonade daily. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Lisa wants a bicyc... |
After giving away 150 balloons for a birthday party, Mia was left with X baskets of balloons. If each basket had 25 balloons, how many balloons did Mia initially have? If we know the answer to the above question is 200, what is the value of unknown variable X? | To solve this problem, we need to determine the value of X, which represents the number of baskets of balloons Mia had left after giving away 150 balloons. We also know that each basket contains 25 balloons.
Let's break down the information given:
1. Mia gave away 150 balloons.
2. After giving away the balloons, she w... | Okay, let's see. So, Mia gave away 150 balloons for a birthday party, and after that, she was left with X baskets of balloons. Each basket has 25 balloons. The question is asking how many balloons Mia initially had, and then given that the answer is 200, we need to find the value of X. Hmm, let me think step by step.
... | Mia gave away 150 balloons and was left with \( X \) baskets, each containing 25 balloons. To find the initial number of balloons \( N \), we use the equation:
\[ N - 150 = 25X \]
Given that the initial number of balloons \( N \) is 200, we substitute \( N \) with 200:
\[ 200 - 150 = 25X \]
Simplifying this equatio... | 24,623 | MetaMath | <think>
Okay, let's see. So, Mia gave away 150 balloons for a birthday party, and after that, she was left with X baskets of balloons. Each basket has 25 balloons. The question is asking how many balloons Mia initially had, and then given that the answer is 200, we need to find the value of X. Hmm, let me think step by... | [
{
"from": "human",
"value": "After giving away 150 balloons for a birthday party, Mia was left with X baskets of balloons. If each basket had 25 balloons, how many balloons did Mia initially have? If we know the answer to the above question is 200, what is the value of unknown variable X?"
},
{
"fro... |
Ethan's female guinea pig weighs 1 kilogram. His male guinea pig is X as heavy. If Ethan carries both, how much do they weigh together? If we know the answer to the above question is 3, what is the value of unknown variable X? | To solve this problem, we need to determine the value of X, which represents the weight of Ethan's male guinea pig in terms of the weight of his female guinea pig.
Let's break down the information given:
- Weight of the female guinea pig = 1 kg
- Weight of the male guinea pig = X * weight of the female guinea pig
Now... | Okay, let's see. The problem says that Ethan's female guinea pig weighs 1 kilogram. His male guinea pig is X times as heavy. If Ethan carries both, how much do they weigh together? Then, we're told that the answer is 3, and we need to find the value of X. Hmm, let's break this down step by step.
First, the female guin... | The female guinea pig weighs 1 kilogram. The male guinea pig's weight is \( X \times 1 \) kg. Together, their total weight is \( 1 + X \). Given the total weight is 3 kg:
\[
1 + X = 3
\]
Solving for \( X \):
\[
X = 3 - 1 = 2
\]
**Answer:** The value of \( X \) is \boxed{2}. | 24,549 | MetaMath | <think>
Okay, let's see. The problem says that Ethan's female guinea pig weighs 1 kilogram. His male guinea pig is X times as heavy. If Ethan carries both, how much do they weigh together? Then, we're told that the answer is 3, and we need to find the value of X. Hmm, let's break this down step by step.
First, the fem... | [
{
"from": "human",
"value": "Ethan's female guinea pig weighs 1 kilogram. His male guinea pig is X as heavy. If Ethan carries both, how much do they weigh together? If we know the answer to the above question is 3, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\n... |
Ms. Rivera collected X kg of oranges. She sold 135 kg to a store and 95.5 kg to a neighbor. What is the weight of oranges that remain unsold? If we know the answer to the above question is 200, what is the value of unknown variable X? | To solve this problem, we need to determine the total weight of oranges that remain unsold after Ms. Rivera sold some to a store and a neighbor. We need to find the initial amount of oranges, represented by the variable X.
Let's break down the information given:
- Ms. Rivera collected X kg of oranges.
- She sold 135 k... | Okay, let me try to figure out this problem. So, Ms. Rivera collected X kilograms of oranges. She sold some to a store and some to a neighbor, and we need to find out how much she had originally if 200 kg remains unsold. Hmm, let's break it down step by step.
First, the problem says she sold 135 kg to a store and 95.5... | Ms. Rivera sold a total of \(135 \, \text{kg} + 95.5 \, \text{kg} = 230.5 \, \text{kg}\) of oranges. The remaining unsold oranges are \(200 \, \text{kg}\). To find the original weight \(X\), we add the total sold to the remaining amount:
\[
X = 200 \, \text{kg} + 230.5 \, \text{kg} = 430.5 \, \text{kg}.
\]
**Answer:*... | 24,610 | MetaMath | <think>
Okay, let me try to figure out this problem. So, Ms. Rivera collected X kilograms of oranges. She sold some to a store and some to a neighbor, and we need to find out how much she had originally if 200 kg remains unsold. Hmm, let's break it down step by step.
First, the problem says she sold 135 kg to a store ... | [
{
"from": "human",
"value": "Ms. Rivera collected X kg of oranges. She sold 135 kg to a store and 95.5 kg to a neighbor. What is the weight of oranges that remain unsold? If we know the answer to the above question is 200, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "<... |
Ethan originally had 39 toy cars in his collection. His classmate gave him one-third of his 33 toy cars. How many toy cars does Ethan have in total after receiving them? | First, let's find out how many toy cars Ethan received from his classmate.
1. Ethan's classmate has 33 toy cars.
2. He gives Ethan one-third of his toy cars, so we calculate:
\[
\frac{1}{3} \times 33 = 11
\]
Thus, Ethan receives 11 toy cars.
Now, we'll add the number of toy cars Ethan originally had to... | Okay, let's see. Ethan originally has 39 toy cars. Then his classmate gives him one-third of his 33 toy cars. I need to figure out how many toy cars Ethan has in total after receiving them. Hmm, let's break this down step by step.
First, Ethan's initial number of toy cars is 39. That's straightforward. Now, the classm... | Ethan initially has 39 toy cars. His classmate gives him one-third of 33 toy cars, which is calculated as:
\[
\frac{33}{3} = 11
\]
Adding this to Ethan's original collection:
\[
39 + 11 = 50
\]
**Answer:** Ethan has a total of \(\boxed{50}\) toy cars after receiving them. | 24,468 | MetaMath | <think>
Okay, let's see. Ethan originally has 39 toy cars. Then his classmate gives him one-third of his 33 toy cars. I need to figure out how many toy cars Ethan has in total after receiving them. Hmm, let's break this down step by step.
First, Ethan's initial number of toy cars is 39. That's straightforward. Now, th... | [
{
"from": "human",
"value": "Ethan originally had 39 toy cars in his collection. His classmate gave him one-third of his 33 toy cars. How many toy cars does Ethan have in total after receiving them?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Ethan originally has 39 toy cars. Then h... |
Alice baked X cookies for a bake sale. After she and her brother ate 40 cookies, she divided the rest equally among her 4 friends. Each friend received 35 cookies. What is the value of the unknown variable X? | To solve this problem, we need to determine the value of X, which represents the total number of cookies Alice baked.
\nLet's break down the information given:
- Alice and her brother ate 40 cookies.
- The remaining cookies were divided equally among her 4 friends.
- Each friend received 35 cookies.
\nNow, we can set u... | Okay, let me try to figure out this problem. So, Alice baked some cookies, right? The number of cookies is X. Then she and her brother ate 40 cookies. After that, she took the remaining cookies and divided them equally among her 4 friends. Each friend got 35 cookies. We need to find X.
Hmm, let's break it down step by... | Alice baked \( X \) cookies. After she and her brother ate 40 cookies, the remaining number of cookies is \( X - 40 \). She divided these remaining cookies equally among her 4 friends, and each friend received 35 cookies.
To find the total number of remaining cookies after eating 40, we calculate:
\[
4 \times 35 = 14... | 24,981 | MetaMath | <think>
Okay, let me try to figure out this problem. So, Alice baked some cookies, right? The number of cookies is X. Then she and her brother ate 40 cookies. After that, she took the remaining cookies and divided them equally among her 4 friends. Each friend got 35 cookies. We need to find X.
Hmm, let's break it down... | [
{
"from": "human",
"value": "Alice baked X cookies for a bake sale. After she and her brother ate 40 cookies, she divided the rest equally among her 4 friends. Each friend received 35 cookies. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let me try t... |
James has X containers, each holding 6 liters of liquid. He has a tap that dispenses liquid at a rate of 2 liters per minute. It will take 15 to fill all the containers. What is the value of the unknown variable X? | To solve this problem, we need to determine the value of X, which represents the number of containers James has.
Let's break down the information given:
- Each container holds 6 liters of liquid.
- The rate of the tap is 2 liters per minute.
- It takes 15 minutes to fill all the containers.
First, we can calculate th... | Okay, let's see. James has X containers, each can hold 6 liters. So, each container needs 6 liters to be filled. He has a tap that gives liquid at 2 liters per minute. And it takes 15 minutes to fill all the containers. We need to find X.
Hmm. So first, maybe figure out how much total liquid he needs to fill all the c... | James has \( X \) containers, each holding 6 liters of liquid. The tap dispenses liquid at a rate of 2 liters per minute, and it takes 15 minutes to fill all the containers.
First, we calculate the total amount of liquid needed to fill all the containers:
\[
\text{Total liquid required} = 6X \text{ liters}
\]
Next, ... | 24,998 | MetaMath | <think>
Okay, let's see. James has X containers, each can hold 6 liters. So, each container needs 6 liters to be filled. He has a tap that gives liquid at 2 liters per minute. And it takes 15 minutes to fill all the containers. We need to find X.
Hmm. So first, maybe figure out how much total liquid he needs to fill a... | [
{
"from": "human",
"value": "James has X containers, each holding 6 liters of liquid. He has a tap that dispenses liquid at a rate of 2 liters per minute. It will take 15 to fill all the containers. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's ... |
A charity had 500 books that were distributed evenly to 5 community centers. After that, they asked each center to return X books back. Each center has 92 books left now. What is the value of the unknown variable X? | To solve this problem, we need to determine the value of X, which represents the number of books returned by each community center.
Let's break down the information given:
1. The charity had 500 books distributed evenly to 5 community centers.
2. Each center received 500 books / 5 centers = 100 books.
3. After return... | Okay, so let's see. There's a charity that had 500 books, and they distributed them evenly to 5 community centers. Hmm, first, I need to figure out how many books each center got initially. If there are 5 centers and the books were divided equally, then each center got 500 divided by 5. Let me calculate that: 500 ÷ 5. ... | The charity distributed 500 books evenly to 5 community centers, so each center received \( \frac{500}{5} = 100 \) books initially. After returning \( X \) books, each center had 92 books left. This gives the equation:
\[ 100 - X = 92 \]
Solving for \( X \):
\[ X = 100 - 92 = 8 \]
To verify, the total number of boo... | 25,006 | MetaMath | <think>
Okay, so let's see. There's a charity that had 500 books, and they distributed them evenly to 5 community centers. Hmm, first, I need to figure out how many books each center got initially. If there are 5 centers and the books were divided equally, then each center got 500 divided by 5. Let me calculate that: 5... | [
{
"from": "human",
"value": "A charity had 500 books that were distributed evenly to 5 community centers. After that, they asked each center to return X books back. Each center has 92 books left now. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so le... |
Michael is constructing a birdhouse and requires 4 boards that are 8 feet in length and X smaller boards that are 1 foot in length. How many feet of wood does Michael need to buy? If we know the answer to the above question is 38, what is the value of unknown variable X? | To determine the total length of wood that Michael needs to buy, we will calculate the total length contributed by the longer boards and the smaller boards separately and then sum them up.
Step 1: Calculate the total length of the 4 boards that are 8 feet long.
- Length of each long board = 8 feet
- Total length of l... | Okay, let me try to figure this out. So, Michael is building a birdhouse and needs some boards. The problem says he needs 4 boards that are each 8 feet long, and then X smaller boards that are 1 foot each. We need to find out how many feet of wood he needs to buy, and then they tell us the answer is 38, so we have to f... | Michael needs 4 boards that are 8 feet each and X smaller boards that are 1 foot each. The total length of the 8-foot boards is calculated as follows:
\[
4 \times 8 = 32 \text{ feet}
\]
The total length of the 1-foot boards is:
\[
X \times 1 = X \text{ feet}
\]
The total length of wood required is given as 38 feet.... | 24,053 | MetaMath | <think>
Okay, let me try to figure this out. So, Michael is building a birdhouse and needs some boards. The problem says he needs 4 boards that are each 8 feet long, and then X smaller boards that are 1 foot each. We need to find out how many feet of wood he needs to buy, and then they tell us the answer is 38, so we h... | [
{
"from": "human",
"value": "Michael is constructing a birdhouse and requires 4 boards that are 8 feet in length and X smaller boards that are 1 foot in length. How many feet of wood does Michael need to buy? If we know the answer to the above question is 38, what is the value of unknown variable X?"
},
... |
Jack has two containers of X markers and five containers of 15 markers. How many markers does Jack have? If we know the answer to the above question is 125, what is the value of unknown variable X? | To solve this problem, we need to determine the total number of markers Jack has based on the information given.
We know:
- Jack has two containers of X markers.
- Jack has five containers, each containing 15 markers.
Let's calculate the total number of markers. The total number of markers can be expressed as:
Total... | Okay, let's see. Jack has two containers of X markers each. So, that's 2 times X markers. Then, he also has five containers, each containing 15 markers. So, five containers times 15 markers each. The total number of markers he has is the sum of these two quantities. The problem says that the answer is 125, so we need t... | Jack has two containers each containing \( X \) markers and five containers each containing 15 markers. The total number of markers is given as 125.
First, express the total markers algebraically:
\[
2X + 5 \times 15 = 125
\]
Calculate the known quantity:
\[
2X + 75 = 125
\]
Subtract 75 from both sides to isolate t... | 24,528 | MetaMath | <think>
Okay, let's see. Jack has two containers of X markers each. So, that's 2 times X markers. Then, he also has five containers, each containing 15 markers. So, five containers times 15 markers each. The total number of markers he has is the sum of these two quantities. The problem says that the answer is 125, so w... | [
{
"from": "human",
"value": "Jack has two containers of X markers and five containers of 15 markers. How many markers does Jack have? If we know the answer to the above question is 125, what is the value of unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Jack has two... |
What is the total amount of liquid that Oliver used, given that he drank 4 cups of tea and added 8 cups of broth while cooking for 2 hours? | First, we need to determine the total amount of tea and broth that Oliver used. He drank 4 cups of tea and added 8 cups of broth for cooking. Therefore, we can calculate the total liquid amount by simply adding the amounts of tea and broth together:
Total liquid = cups of tea + cups of broth
Total liquid = 4 cups + 8 ... | Okay, let's see. The question is asking for the total amount of liquid that Oliver used. He drank 4 cups of tea and added 8 cups of broth while cooking for 2 hours. Hmm, so I need to figure out how much liquid he used in total.
First, let me break down the information. There are two parts here: the tea he drank and t... | Oliver used a total of **12 cups** of liquid. This is calculated by adding the 4 cups of tea he drank to the 8 cups of broth he added while cooking.
**Step-by-Step Explanation:**
1. **Tea Consumed:** 4 cups.
2. **Broth Added:** 8 cups.
3. **Total Liquid Used:** \( 4 \text{ cups} + 8 \text{ cups} = 12 \text{ cups} \).... | 25,110 | MetaMath | <think>
Okay, let's see. The question is asking for the total amount of liquid that Oliver used. He drank 4 cups of tea and added 8 cups of broth while cooking for 2 hours. Hmm, so I need to figure out how much liquid he used in total.
First, let me break down the information. There are two parts here: the tea he dra... | [
{
"from": "human",
"value": "What is the total amount of liquid that Oliver used, given that he drank 4 cups of tea and added 8 cups of broth while cooking for 2 hours?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. The question is asking for the total amount of liquid that Oliver used... |
Daniel sails to a distant island at a speed of X knots over a distance of 36 nautical miles. He stops for a 2-hour lunch break. His entire trip is 5 hours long. What is the value of the unknown variable X? | To solve this problem, we first need to understand the relationship between distance, speed, and time. The formula that relates these variables is:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
We are given that:
- Distance = 36 nautical miles
- Total time for the trip = 5 hours
- Time spent on lunch = ... | Okay, let's see. Daniel is sailing to an island that's 36 nautical miles away. His speed is X knots. He took a 2-hour lunch break, and the whole trip took 5 hours. I need to find X, his sailing speed.
First, let's recall some basic formulas. Speed is equal to distance divided by time. So, time is distance divided by s... | Daniel sails to a distant island over a distance of 36 nautical miles at a speed of \( X \) knots. He takes a 2-hour lunch break, and the entire trip lasts 5 hours. To find \( X \):
1. Calculate the sailing time by subtracting the lunch break from the total trip time:
\[
\text{Sailing time} = 5 \text{ hours} - 2... | 24,701 | MetaMath | <think>
Okay, let's see. Daniel is sailing to an island that's 36 nautical miles away. His speed is X knots. He took a 2-hour lunch break, and the whole trip took 5 hours. I need to find X, his sailing speed.
First, let's recall some basic formulas. Speed is equal to distance divided by time. So, time is distance divi... | [
{
"from": "human",
"value": "Daniel sails to a distant island at a speed of X knots over a distance of 36 nautical miles. He stops for a 2-hour lunch break. His entire trip is 5 hours long. What is the value of the unknown variable X?"
},
{
"from": "gpt",
"value": "<think>\nOkay, let's see. Dani... |
At a book fair, Noah read X times as many books as Lily. Lily was feeling down until Noah accidentally spilled coffee on his book collection, causing him to lose 30 books. If Lily read 6 books, how many more books does she need to read to outdo Noah by just 1 book? If we know the answer to the above question is 25, wha... | To solve this problem, we need to first express the number of books Noah read in terms of the number of books Lily read and the unknown variable X. Let's break down the information given:
1. Lily read 6 books.
2. Noah read X times as many books as Lily, so Noah read \(N = 6X\) books before he lost any.
3. After spilli... | Okay, let's try to figure out the value of X. The problem says that Noah read X times as many books as Lily. Lily read 6 books, so Noah must have read 6 times X books initially. But then Noah lost 30 books due to the coffee spill. So his total books after the spill would be 6X - 30.
Now, the question is asking how ma... | Noah read \( X \) times as many books as Lily. Since Lily read 6 books, Noah initially read \( 6X \) books. After losing 30 books, Noah's total is \( 6X - 30 \).
Lily needs to read enough additional books to have 1 more book than Noah. Let \( Y \) be the number of additional books Lily needs to read. The equation is:
... | 24,044 | MetaMath | <think>
Okay, let's try to figure out the value of X. The problem says that Noah read X times as many books as Lily. Lily read 6 books, so Noah must have read 6 times X books initially. But then Noah lost 30 books due to the coffee spill. So his total books after the spill would be 6X - 30.
Now, the question is askin... | [
{
"from": "human",
"value": "At a book fair, Noah read X times as many books as Lily. Lily was feeling down until Noah accidentally spilled coffee on his book collection, causing him to lose 30 books. If Lily read 6 books, how many more books does she need to read to outdo Noah by just 1 book? If we know th... |
How many total years has Nina taught, given that she taught World History for 2 years, American History for 4 times that duration, and European History for half the length of her American History teaching? | 1. Nina taught World History for 2 years.
2. The duration for which she taught American History is calculated as:
\[ \text{American History Duration} = 4 \times \text{World History Duration} = 4 \times 2 = 8 \text{ years} \]
3. The duration for which she taught European History is half the length of her American... | Okay, so I need to figure out how many total years Nina has taught. Let me read the problem again to make sure I get all the details right.
She taught World History for 2 years. Then, American History for 4 times that duration. And European History for half the length of her American History teaching. Hmm, let me brea... | Nina taught World History for 2 years.
American History duration: \(4 \times 2 = 8\) years.
European History duration: \(\frac{8}{2} = 4\) years.
**Total years taught**:
\(2 + 8 + 4 = 14\)
**Answer**: \(\boxed{14}\) | 24,584 | MetaMath | <think>
Okay, so I need to figure out how many total years Nina has taught. Let me read the problem again to make sure I get all the details right.
She taught World History for 2 years. Then, American History for 4 times that duration. And European History for half the length of her American History teaching. Hmm, let... | [
{
"from": "human",
"value": "How many total years has Nina taught, given that she taught World History for 2 years, American History for 4 times that duration, and European History for half the length of her American History teaching?"
},
{
"from": "gpt",
"value": "<think>\nOkay, so I need to fi... |
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