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You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Mimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?
Answ... | To solve this problem, let's break it down step by step:
1. Mimi picked up 2 dozen seashells.
Since 1 dozen is equal to 12, 2 dozen is 2 x 12 = 24 seashells.
2. Kyle found twice as many shells as Mimi.
This means Kyle found 2 x 24 = 48 seashells.
3. Leigh grabbed one-third of the shells that Kyle found.
One-third o... | To solve this problem, let's break it down step by step.
Let's start by identifying the variables and the information given:
- Mimi picked up 2 dozen seashells. Since 1 dozen is equal to 12, Mimi picked up 2 * 12 = 24 seashells.
- Kyle found twice as many shells as Mimi, so Kyle found 2 * 24 = 48 seashells.
- Leigh g... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Mimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?
Answ... | To solve this problem, let's break it down step by step.
1. Mimi picked up 2 dozen seashells. Since a dozen is equal to 12, Mimi has 2 * 12 = 24 seashells.
2. Kyle found twice as many shells as Mimi. So, Kyle has 2 * 24 = 48 shells.
3. Leigh grabbed one-third of the shells that Kyle found. To find one-third of 48, w... | To solve this problem, let's break it down step by step.
Let's start by identifying the variables and the information given:
- Mimi picked up 2 dozen seashells. Since 1 dozen is equal to 12, Mimi picked up 2 * 12 = 24 seashells.
- Kyle found twice as many shells as Mimi, so Kyle found 2 * 24 = 48 seashells.
- Leigh g... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Mimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?
Answ... | To find out how many seashells Leigh had, let's follow the steps:
1. 2 dozen seashells that Mimi picked up is equivalent to 2 x 12 = 24 seashells.
2. Kyle found twice as many shells as Mimi. So, Kyle found 2 x 24 = 48 shells.
3. Leigh grabbed one-third of the shells that Kyle found, which is one-third of 48.
To fi... | To solve this problem, let's break it down step by step.
Let's start by identifying the variables and the information given:
- Mimi picked up 2 dozen seashells. Since 1 dozen is equal to 12, Mimi picked up 2 * 12 = 24 seashells.
- Kyle found twice as many shells as Mimi, so Kyle found 2 * 24 = 48 seashells.
- Leigh g... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Emma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account.... | To solve this problem, let's break it down step by step:
1. Emma starts with $100 in her account.
2. At the end of the week, she spends $8 per day for 7 days. To find the total amount she spends, we multiply the amount spent per day ($8) by the number of days spent ($7):
$8 per day × 7 days = $56
3. Subtract the am... | To find out how much money Emma can get from the bank, we need to calculate the total amount she spends at the end of the week and then subtract that from her initial balance.
1. First, let's calculate the amount she spends at the end of the week:
Emma spends $8 per day, and there are 7 days in a week.
Total amount ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Emma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account.... | To solve this problem, let's break it down step by step:
1. Emma starts with $100 in her account.
2. At the end of the week, she spends $8 per day for 7 days. To find the total amount she spends, we multiply the amount spent per day ($8) by the number of days spent ($7):
$8 per day × 7 days = $56
3. Subtract the am... | To solve this problem, let's break it down step by step:
**Step 1: Calculate the total amount spent in a week**
Emma spends $8 per day for 7 days in a week.
Total spent = $8/day * 7 days = $56
**Step 2: Calculate the remaining amount in the account after a week**
Initial amount in the account = $100
Amount spent in... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Emma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account.... | To solve this problem, let's break it down step by step:
1. Emma starts with $100 in her account.
2. At the end of the week, she spends $8 per day for 7 days. To find the total amount she spends, we multiply the amount spent per day ($8) by the number of days spent ($7):
$8 per day × 7 days = $56
3. Subtract the am... | To solve this problem, let's break it down step by step:
**Step 1: Calculate the amount spent in a week**
Emma spends $8 per day for a week. Since there are 7 days in a week, the total amount spent is:
$8/day x 7 days = $56
**Step 2: Determine the amount available at the end of the week**
Emma starts with $100 in ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Ezekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he... | To find out how many kilometers Ezekiel had to hike on the third day, we need to follow these steps:
1. Determine the distance covered on the first day: Ezekiel covered 10 kilometers on the first day.
2. Calculate the distance covered on the second day: Ezekiel covered half of the full hike distance. Since the full h... | To find out how many kilometers Ezekiel had to hike on the third day, we need to follow these steps:
1. First, let's find out how much of the hike was already completed on the first day. Ezekiel covered 10 kilometers.
2. Ezekiel had a total hike distance of 50 kilometers. We know he covered 10 kilometers on the first... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Ezekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he... | To find out how many kilometers Ezekiel had to hike on the third day, we need to follow these steps:
1. Determine the distance covered on the first day: Ezekiel covered 10 kilometers on the first day.
2. Calculate the distance covered on the second day: Ezekiel covered half of the full hike distance. Since the full h... | To solve this problem, let's break it down step by step:
1. The total distance of the hike is 50 kilometers.
2. Ezekiel covered 10 kilometers on the first day.
3. On the second day, Ezekiel covered half the full hike distance, which is 50 km / 2 = 25 km.
4. To find out how much he has left to hike after the first t... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Ezekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he... | To find out how many kilometers Ezekiel had to hike on the third day, we need to follow these steps:
1. Determine the distance covered on the first day: Ezekiel covered 10 kilometers on the first day.
2. Calculate the distance covered on the second day: Ezekiel covered half of the full hike distance. Since the full h... | To find out how many kilometers Ezekiel had to hike on the third day, we need to calculate the total distance of the hike and then subtract the distance he hiked on the first two days.
Step 1: Calculate the total distance of the hike.
The total distance of the hike is 50 kilometers.
Step 2: Calculate the distance Eze... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: James decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewe... | To solve this problem, let's break it down into steps.
**Step 1: Calculate the number of tins James collected on the first day**
James collected 50 tins on the first day.
**Step 2: Calculate the number of tins James collected on the second day**
On the second day, James collected 3 times the number of tins he colle... | To solve this problem, let's break it down step by step.
**Day 1:**
* James collects 50 tins on the first day.
* Total tins collected so far: 50
* Remaining tins to collect for the week: 500 - 50 = 450
* On the second day, James collects 3 times the number of tins he collected on the first day.
* 3 * 50 = 150
* To... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: James decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewe... | To solve this problem, let's break it down into steps.
**Step 1: Calculate the number of tins James collected on the first day**
James collected 50 tins on the first day.
**Step 2: Calculate the number of tins James collected on the second day**
On the second day, James collected 3 times the number of tins he colle... | To solve this problem, we'll break it down step by step.
**Step 1: Find the number of tins James collected on the second day.**
Since James collected 3 times the number he collected on the first day, we multiply the number of tins collected on the first day by 3.
2 x 50 = 100
**Step 2: Calculate the number of tins J... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: James decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewe... | To solve this problem, let's break it down into steps.
**Step 1: Calculate the number of tins James collected on the first day**
James collected 50 tins on the first day.
**Step 2: Calculate the number of tins James collected on the second day**
On the second day, James collected 3 times the number of tins he colle... | To solve this problem, we need to find out how many tins James collected on each of the remaining days of the week. We know that James collects 50 tins on the first day, 3 times the number he collected on the second day, and 50 tins fewer than the number he collected on the second day.
Let's denote the number of tins ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Don throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?... | To find the final score, we need to calculate the points from each throw.
1. The bullseye is worth 50 points.
2. The first dart missed the target, so it's worth 0 points.
3. The third dart is worth half the points of the bullseye, so it's worth 50 / 2 = 25 points.
Now, we add up the points from all three throws:
0 (... | To solve this problem, let's break it down step by step.
Let's denote the points earned from the bullseye as x.
Since the third dart was worth half the points of the bullseye, its value is x/2.
The total points earned from all three throws is the sum of the points from the bullseye, the missed target, and the third ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Don throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?... | To find the final score, we need to add up the points from each throw.
1. The bullseye is worth 50 points.
2. The completely missed target is worth 0 points.
3. The third throw is worth half the points of the bullseye, so it is worth (1/2) * 50 = 25 points.
Now, let's add up the points from all three throws:
50 (bul... | To solve this problem, let's break it down step by step.
Let's denote the points earned from the bullseye as x.
Since the third dart was worth half the points of the bullseye, its value is x/2.
The total points earned from all three throws is the sum of the points from the bullseye, the missed target, and the third ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Don throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?... | To find the final score, we need to calculate the points for each throw and add them up. Here's the step-by-step calculation:
1. The bullseye is worth 50 points.
2. The third dart missed the target, so it's worth 0 points.
3. The second dart is worth half the points of the bullseye, which is 50 / 2 = 25 points.
4. The... | To solve this problem, let's break it down step by step.
Let's denote the points earned from the bullseye as x.
Since the third dart was worth half the points of the bullseye, its value is x/2.
The total points earned from all three throws is the sum of the points from the bullseye, the missed target, and the third ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: TreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders cre... | To find the total width of the splashes made by TreQuan, we need to calculate the width of the splash made by each type of rock and then sum them up. Let's do that step by step:
1. Pebbles:
- A single pebble makes a splash that is 1/4 meter wide.
- 6 pebbles = 6 x 1/4 = 1.5 meters
2. Rocks:
- A rock makes a splash th... | To find the total width of the splashes, we need to calculate the total area of the splashes created by each type of rock and then add them together.
First, let's calculate the area of the splash made by each type of rock:
- Pebbles: 1/4 meter wide x 6 pebbles = 6/4 = 1.5 meters
- Rocks: 1/2 meter wide x 3 rocks = 3... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: TreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders cre... | To find the total width of the splashes, we need to multiply the number of each type of rock by its respective width and add these values together.
First, let's find the total width of the pebble splashes:
- 6 pebbles * 1/4 meter (width of pebble splash) = 6 * 1/4 = 1.5 meters
Next, let's find the total width of the... | To find the total width of the splashes, we need to calculate the total area of the splashes created by each type of rock and then add them together.
First, let's calculate the area of the splash made by each type of rock:
- Pebbles: 1/4 meter wide x 6 pebbles = 6/4 = 1.5 meters
- Rocks: 1/2 meter wide x 3 rocks = 3... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: TreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders cre... | To solve this problem, we need to calculate the total width of the splashes created by each type of rock and then add them up. Let's break it down step by step:
**Pebbles:**
* 6 pebbles
* Each pebble creates a splash that is 1/4 meter wide
* Total width of pebble splash = 6 x 1/4 = 1.5 meters
**Rocks:**
* 3 rocks
*... | To find the total width of the splashes, we need to calculate the total area of the splashes created by each type of rock and then add them together.
First, let's calculate the area of the splash made by each type of rock:
- Pebbles: 1/4 meter wide x 6 pebbles = 6/4 = 1.5 meters
- Rocks: 1/2 meter wide x 3 rocks = 3... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Pauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?
Answer... | To solve this problem, we need to first calculate the total number of eggs available. Since there are three dozen eggs, we can convert this to individual eggs by multiplying by 12.
Three dozen eggs = 3 * 12 = 36 eggs
Now, we know that each omelet requires 4 eggs. To find out how many omelets Pauly can make, we divide... | To solve this problem, we need to follow the steps below:
1. First, we need to find the total number of eggs available. We know there are 3 dozen eggs, and 1 dozen is equal to 12. So, we can calculate the total number of eggs as follows:
3 dozen eggs = 3 x 12 eggs = 36 eggs
2. Next, we need to find the total number ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Pauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?
Answer... | To solve this problem, let's break it down step by step:
1. First, we need to find out how many eggs Pauly has in total. Since there are three dozen eggs, and a dozen is equal to 12, we multiply 3 by 12:
3 * 12 = 36 eggs
2. Next, we know that each omelet requires 4 eggs. To find out how many omelets Pauly can make, ... | To solve this problem, we need to follow the steps below:
1. First, we need to find the total number of eggs available. We know there are 3 dozen eggs, and 1 dozen is equal to 12. So, we can calculate the total number of eggs as follows:
3 dozen eggs = 3 x 12 eggs = 36 eggs
2. Next, we need to find the total number ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Pauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?
Answer... | To solve this problem, we need to first calculate the total number of eggs available. Since there are three dozen eggs, we can convert this to individual eggs by multiplying by 12.
Three dozen eggs = 3 * 12 = 36 eggs
Now, we know that each omelet requires 4 eggs. To find out how many omelets Pauly can make, we divide... | To find out how many omelets each person gets, we need to first find out how many eggs are used in total and then divide it by the number of people.
We are told that there are 3 dozen eggs. Since 1 dozen equals 12 eggs, we can calculate the total number of eggs as follows:
3 dozen eggs = 3 x 12 = 36 eggs
Now, we kno... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Thomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was ... | To solve this problem, we need to follow the order of operations and break it down step by step.
Let's start by identifying the height of each stack:
1. The first stack is 7 blocks tall.
2. The second stack is 3 blocks taller than the first, so it's 7 + 3 = 10 blocks tall.
3. The third stack is 6 blocks shorter than ... | To solve this problem, we need to break it down step by step. Let's use variables to represent the height of each stack.
Let x be the height of the first stack, 7. Then:
- The height of the second stack is 3 more than the first stack: x + 3.
- The height of the third stack is 6 blocks shorter than the second stack: x... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Thomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was ... | To solve this problem, we need to follow the order of operations and break it down step by step.
Let's start by identifying the height of each stack:
1. The first stack is 7 blocks tall.
2. The second stack is 3 blocks taller than the first, so it's 7 + 3 = 10 blocks tall.
3. The third stack is 6 blocks shorter than ... | To solve this problem, let's break it down step by step.
**Step 1: Identify the height of the first stack**
The first stack was 7 blocks tall.
**Step 2: Identify the height of the second stack**
The second stack was 3 blocks taller than the first stack, so the height of the second stack is:
7 + 3 = 10 blocks
**Ste... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Thomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was ... | To solve this problem, we need to follow the order of operations and break it down step by step.
Let's start by identifying the height of each stack:
1. The first stack is 7 blocks tall.
2. The second stack is 3 blocks taller than the first, so it's 7 + 3 = 10 blocks tall.
3. The third stack is 6 blocks shorter than ... | To solve this problem, we need to follow the order of operations as indicated. First, let's calculate the height of each stack.
- The first stack is 7 blocks tall.
- The second stack is 3 blocks taller than the first stack, which is 7 + 3 = 10 blocks tall.
- The third stack is 6 blocks shorter than the second stack, ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Trace has five shopping bags that weigh the same amount as Gordon’s two shopping bags. One of Gordon’s shopping bags weighs three pounds and the other weighs seven. Trace’s shopping bags all weigh the same amount... | To solve this problem, we need to set up an equation using the information given. Let's denote the weight of one of Trace's shopping bags as x pounds.
We know that the combined weight of Gordon's bags is equal to the combined weight of Trace's bags, since they weigh the same amount.
Gordon's bags = 2 bags
Weight of G... | To solve this problem, we will use the following steps:
Step 1: Set up the equation using the information given in the problem.
Let's denote the weight of one of Trace's shopping bags as x pounds.
We know that the total weight of Gordon's shopping bags is 3 pounds + 7 pounds, and the total weight of Trace's shopping... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Trace has five shopping bags that weigh the same amount as Gordon’s two shopping bags. One of Gordon’s shopping bags weighs three pounds and the other weighs seven. Trace’s shopping bags all weigh the same amount... | To solve this problem, we need to set up an equation using the information given. Let's denote the weight of one of Trace's shopping bags as x pounds.
We know that the combined weight of Gordon's bags is equal to the combined weight of Trace's bags, since they weigh the same amount.
Gordon's bags = 2 bags
Weight of G... | To solve this problem, let's break it down into steps. We'll start by assuming that the weight of Gordon's two bags is x pounds and the weight of Trace's bags are y pounds.
Since all of Trace's bags weigh the same amount, we know that y pounds of Trace's bags equal y pounds of Gordon's bags.
We are also given that on... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Trace has five shopping bags that weigh the same amount as Gordon’s two shopping bags. One of Gordon’s shopping bags weighs three pounds and the other weighs seven. Trace’s shopping bags all weigh the same amount... | To solve this problem, we need to set up an equation using the information given. Let's denote the weight of one of Trace's shopping bags as x pounds.
We know that the combined weight of Gordon's bags is equal to the combined weight of Trace's bags, since they weigh the same amount.
Gordon's bags = 2 bags
Weight of G... | Let's break down the problem step by step:
Let x be the weight of one of Trace's bags in pounds.
Since all three bags weigh the same, we can set up the equation:
3 (Gordon's bags) + 7 (Gordon's bags) = x (Trace's bags)
We can simplify the left side of the equation:
10 = x
This means that Gordon's bags together we... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Patricia is making a highlight film about her basketball team. She recorded video of every player and plans to put it all together in a longer movie. She has 130 seconds of the point guard, 145 seconds of the sho... | To find the average time per player, we need to add up the total time for each player and divide by the number of players.
Step 1: Add up the time for each player
- Point guard: 130 seconds
- Shooting guard: 145 seconds
- Small forward: 85 seconds
- Power forward: 60 seconds
- Center: 180 seconds
Total time = 130 + ... | To find the average time for each player, we first need to find the total time taken by all players. We can do this by adding the time of all players together.
Let's calculate the total time:
1. Point guard: 130 seconds
2. Shooting guard: 145 seconds
3. Small forward: 85 seconds
4. Power forward: 60 seconds
5. Center... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Patricia is making a highlight film about her basketball team. She recorded video of every player and plans to put it all together in a longer movie. She has 130 seconds of the point guard, 145 seconds of the sho... | To find the average time per player, we need to add up the total time for each player and divide by the number of players.
Step 1: Add up the time for each player
- Point guard: 130 seconds
- Shooting guard: 145 seconds
- Small forward: 85 seconds
- Power forward: 60 seconds
- Center: 180 seconds
Total time = 130 + ... | To find the average length of each player in the movie, we need to add up the total length of all the players and then divide by the total number of players.
Step 1: Add up the total length of all the players:
- Point Guard: 130 seconds
- Shooting Guard: 145 seconds
- Small Forward: 85 seconds
- Power Forward: 60 seco... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Patricia is making a highlight film about her basketball team. She recorded video of every player and plans to put it all together in a longer movie. She has 130 seconds of the point guard, 145 seconds of the sho... | To find the average time per player, we need to add up the total time for each player and divide by the number of players.
Step 1: Add up the time for each player
- Point guard: 130 seconds
- Shooting guard: 145 seconds
- Small forward: 85 seconds
- Power forward: 60 seconds
- Center: 180 seconds
Total time = 130 + ... | To find the average time each player gets for the movie, we need to first add up all the total time for each player and then divide by the number of players.
1. Add up all the time for all players:
- Point guard: 130 seconds
- Shooting guard: 145 seconds
- Small forward: 85 seconds
- Power forward: 60 seconds
- Center... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: James buys 20 coins of a cryptocurrency at $15 each. The value of the coins increases by 2/3. He sells coins to recoup his original investment. How many coins did he sell?
Answer:
| To solve this problem, let's break it down step by step.
Let's denote the number of coins James buys as C. He buys 20 coins at $15 each.
**Step 1: Calculate the total cost of the coins**
The total cost of the coins is 20 coins * $15 per coin = $300.
**Step 2: Calculate the increase in value of the coins**
The valu... | To solve this problem, we can use algebra.
Let's assume that the number of coins James buys is x. Since the value of the coins increases by 2/3, the selling price of each coin becomes x + (2/3)x, or x + (2/3)x = (5/3)x.
James recovers his original investment of x dollars. To solve for x, we need to set the equation ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: James buys 20 coins of a cryptocurrency at $15 each. The value of the coins increases by 2/3. He sells coins to recoup his original investment. How many coins did he sell?
Answer:
| To solve this problem, let's break it down step by step.
Let's denote the number of coins James buys as C. He buys 20 coins at $15 each.
**Step 1: Calculate the total cost of the coins**
The total cost of the coins is 20 coins * $15 per coin = $300.
**Step 2: Calculate the increase in value of the coins**
The valu... | To solve this problem, let's follow the steps carefully.
Let's say James buys x number of coins. Since he buys 20 coins at $15 each, the total cost is 20 * 15 = $300.
The value of the coins increases by 2/3. Let's denote the new value of each coin after the increase as y. Therefore, the new value of each coin is (1 ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: James buys 20 coins of a cryptocurrency at $15 each. The value of the coins increases by 2/3. He sells coins to recoup his original investment. How many coins did he sell?
Answer:
| To solve this problem, let's break it down step by step.
Let's denote the number of coins James buys as C. He buys 20 coins at $15 each.
**Step 1: Calculate the total cost of the coins**
The total cost of the coins is 20 coins * $15 per coin = $300.
**Step 2: Calculate the increase in value of the coins**
The valu... | To solve this problem, we need to determine the number of coins James needs to sell to recoup his original investment.
Let's break down the steps:
1. James buys 20 coins at $15 each.
Number of coins = Number of coins * Price per coin
Number of coins = 20 * $15
Number of coins = 300
2. The value of the c... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Leo's assignment was divided into three parts. He finished the first part of his assignment in 25 minutes. It took him twice as long to finish the second part. If he was able to finish his assignment in 2 hours, ... | To solve this problem, we need to follow these steps:
1. Convert 2 hours to minutes
1 hour = 60 minutes
2 hours = 2 * 60 = 120 minutes
2. We know that Leo finished the first part of his assignment in 25 minutes.
Since the second part took twice as long as the first part, the second part took 2 * 25 = 50 min... | To solve this problem, we'll break it down into steps.
1. First, let's convert the time it took for the first part from minutes to hours:
- Time for the first part: 25 minutes
- Since there are 60 minutes in an hour, we'll divide 25 by 60 to convert minutes to hours:
25 minutes / 60 = 0.4167 hours
2. We know that t... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Leo's assignment was divided into three parts. He finished the first part of his assignment in 25 minutes. It took him twice as long to finish the second part. If he was able to finish his assignment in 2 hours, ... | To solve this problem, we need to follow these steps:
Step 1: Convert the total time taken to finish the assignment to minutes
The total time taken to finish the assignment is 2 hours.
1 hour = 60 minutes
2 hours = 2 x 60 = 120 minutes
Step 2: Calculate the time taken to finish the second part
The time taken to finish... | To solve this problem, we'll break it down into steps.
1. First, let's convert the time it took for the first part from minutes to hours:
- Time for the first part: 25 minutes
- Since there are 60 minutes in an hour, we'll divide 25 by 60 to convert minutes to hours:
25 minutes / 60 = 0.4167 hours
2. We know that t... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Leo's assignment was divided into three parts. He finished the first part of his assignment in 25 minutes. It took him twice as long to finish the second part. If he was able to finish his assignment in 2 hours, ... | To solve this problem, we need to follow these steps:
1. Convert 2 hours to minutes
1 hour = 60 minutes
2 hours = 2 * 60 = 120 minutes
2. We know that Leo finished the first part of his assignment in 25 minutes.
Since the second part took twice as long as the first part, the second part took 2 * 25 = 50 min... | Let's break down the problem step by step.
We know that Leo finished the first part of his assignment in 25 minutes. We need to find the time it took to finish the third part.
We also know that it took him twice as long to finish the second part as the first part.
Let's say the time it took to finish the first part... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Susie has 572 beans in the jar. One-fourth of them are red and one-third of the remaining beans are white. Then half of the remaining are green beans. How many green beans are there?
Answer:
| To find the total number of green beans, we need to follow the order of operations:
1. First, let's find the number of red beans:
One-fourth of 572 beans are red:
1/4 * 572 = 572 / 4 = 143
Now, the number of red beans is 143.
2. Then, find the number of beans that are not red:
Total beans - Red beans = 5... | To solve this problem, we'll break it down step by step:
1. **Step 1: Find the number of red beans**
- We know that one-fourth of the beans are red, so we multiply 572 by 1/4:
- 572 × 1/4 = 143.5
2. **Step 2: Find the number of remaining beans after removing the red beans**
- We subtract the number of red be... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Susie has 572 beans in the jar. One-fourth of them are red and one-third of the remaining beans are white. Then half of the remaining are green beans. How many green beans are there?
Answer:
| To find the total number of green beans, we need to follow the order of operations:
1. First, let's find the number of red beans:
One-fourth of 572 beans are red:
1/4 * 572 = 572 / 4 = 143
Now, the number of red beans is 143.
2. Then, find the number of beans that are not red:
Total beans - Red beans = 5... | To solve this problem, we need to break it down step by step.
Step 1: Calculate the number of red beans.
One-fourth of the beans are red, so we need to find one-fourth of 572.
To find one-fourth of a number, we multiply by 1/4.
One-fourth of 572 is (1/4) x 572 = 143.
Step 2: Calculate the number of remaining beans a... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Susie has 572 beans in the jar. One-fourth of them are red and one-third of the remaining beans are white. Then half of the remaining are green beans. How many green beans are there?
Answer:
| To solve this problem, we need to break it down step by step.
Let's start by finding the number of red beans:
- Total beans: 572
- One-fourth of the beans are red, so the number of red beans is:
1/4 * 572 = 143
Now, let's find the number of beans remaining after removing the red beans:
572 - 143 = 429
Next, we ... | To solve this problem, we'll break it down step by step:
1. **Step 1: Find the number of red beans**
- We know that one-fourth of the beans are red, so we multiply 572 by 1/4:
- 572 × 1/4 = 143.5
2. **Step 2: Find the number of remaining beans after removing the red beans**
- We subtract the number of red be... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Peter has a plan to take his family on a vacation to Germany. He needs $5,000 to cover all the spending for the travel, and he has $2,900 in savings right now. If he can save up $700 each month, how many months d... | To find out how many months Peter needs to wait to reach his goal, we need to calculate how much more money he needs to save and divide it by the amount he can save each month.
Step 1: Calculate the amount of money Peter still needs to save.
$5,000 (goal) - $2,900 (savings) = $2,100
Step 2: Calculate how many months ... | To solve this problem, we can use a simple algebraic approach.
Let's break down the problem:
* Peter needs $5,000 for the travel.
* He already has $2,900.
* He saves $700 each month.
* Let x be the number of months he needs to wait.
Since Peter wants to know how many months he needs to wait, we'll call this number x... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Peter has a plan to take his family on a vacation to Germany. He needs $5,000 to cover all the spending for the travel, and he has $2,900 in savings right now. If he can save up $700 each month, how many months d... | To solve this problem, we need to calculate the number of months Peter needs to save more money to reach his goal.
Let's break it down step by step:
1. First, let's calculate the amount Peter needs to save:
$5,000 (goal) - $2,900 (current savings) = $2,100 (amount needed)
2. Since Peter can save $700 each month, w... | To solve this problem, we can use a simple algebraic approach.
Let's break down the problem:
* Peter needs $5,000 for the travel.
* He already has $2,900.
* He saves $700 each month.
* Let x be the number of months he needs to wait.
Since Peter wants to know how many months he needs to wait, we'll call this number x... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Peter has a plan to take his family on a vacation to Germany. He needs $5,000 to cover all the spending for the travel, and he has $2,900 in savings right now. If he can save up $700 each month, how many months d... | To solve this problem, we need to first calculate how much more money Peter needs to save.
Total cost of the trip: $5,000
Savings Peter has now: $2,900
We need to find the difference to determine how much more money Peter needs:
$5,000 (total cost) - $2,900 (savings) = $2,100
Since Peter can save $700 per month, we... | To solve this problem, we can use a simple algebraic approach.
Let's break down the problem:
* Peter needs $5,000 for the travel.
* He already has $2,900.
* He saves $700 each month.
* Let x be the number of months he needs to wait.
Since Peter wants to know how many months he needs to wait, we'll call this number x... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Last year, Peter organized a Fun Run for his community project and 200 people signed up. Forty people did not show up to run. This year, there will be twice as many runners as last year. How many people will run ... | To solve this problem, let's follow the steps below:
1. Let's start by identifying the number of people who did not run last year. This is given as 40.
2. Since there were 200 people who signed up for the event last year, we can find the number of people who actually ran by subtracting the number of people who did not... | To solve this problem, let's follow the steps below:
1. Let x be the number of people who ran last year.
2. Since 40 people did not show up, the number of people who ran this year will be x + 40.
3. We are told that there will be twice as many runners this year as last year, so the number of runners this year will be ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Last year, Peter organized a Fun Run for his community project and 200 people signed up. Forty people did not show up to run. This year, there will be twice as many runners as last year. How many people will run ... | To solve this problem, let's follow the steps below:
1. Let's start by identifying the number of people who did not run last year. This is given as 40.
2. Since there were 200 people who signed up for the event last year, we can find the number of people who actually ran by subtracting the number of people who did not... | To solve this problem, we need to first find the number of people who will run this year. We know that 40 people did not show up to run last year. Since there will be twice as many runners this year, we need to calculate the total number of runners last year.
Let's assume the number of runners last year is x.
We know... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Last year, Peter organized a Fun Run for his community project and 200 people signed up. Forty people did not show up to run. This year, there will be twice as many runners as last year. How many people will run ... | To solve this problem, let's follow the steps below:
1. Let's start by identifying the number of people who did not run last year. This is given as 40.
2. Since there were 200 people who signed up for the event last year, we can find the number of people who actually ran by subtracting the number of people who did not... | Let's break down the problem step by step:
**Problem:** Last year, 200 people signed up for the Fun Run. 40 people did not show up. This year, there will be twice as many runners as last year.
**Step 1: Find the number of people who actually showed up this year.**
To find the number of people who showed up this year... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Padma is trading cards with Robert. Padma started with 75 cards and traded 2 or her valuable ones for 10 of Robert's cards. Robert started with 88 of his own cards and traded another 8 of his cards for 15 of Padm... | To find the number of cards traded between Padma and Robert, let's break down the problem into two steps:
1. Padma trades 2 of her cards for 10 of Robert's cards.
2. Robert trades 8 of his cards for 15 of Padma's cards.
Step 1:
- Padma starts with 75 cards and trades 2 cards to Robert.
- After the first trade, Padma... | To solve this problem, let's break it down into steps.
**Step 1: Identify the initial number of cards for each person**
Padma started with 75 cards. Robert started with 88 cards.
**Step 2: Calculate the number of cards Padma traded to Robert**
Padma traded 2 of her cards for 10 of Robert's cards.
To find the total... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Padma is trading cards with Robert. Padma started with 75 cards and traded 2 or her valuable ones for 10 of Robert's cards. Robert started with 88 of his own cards and traded another 8 of his cards for 15 of Padm... | To find the number of cards traded between Padma and Robert, let's break down the problem into two steps:
1. Padma trades 2 of her cards for 10 of Robert's cards.
2. Robert trades 8 of his cards for 15 of Padma's cards.
Step 1:
- Padma starts with 75 cards and trades 2 cards to Robert.
- After the first trade, Padma... | Let's break down the problem step by step.
**Step 1: Identify the initial number of cards**
Padma starts with 75 cards.
Robert starts with 88 cards.
**Step 2: Calculate the number of cards Padma traded to Robert**
Padma traded 2 of her cards to Robert for 10 of his cards. To find the number of cards Padma traded, w... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Padma is trading cards with Robert. Padma started with 75 cards and traded 2 or her valuable ones for 10 of Robert's cards. Robert started with 88 of his own cards and traded another 8 of his cards for 15 of Padm... | To find the number of cards traded between Padma and Robert, let's break down the problem into two steps:
1. Padma trades 2 of her cards for 10 of Robert's cards.
2. Robert trades 8 of his cards for 15 of Padma's cards.
Step 1:
- Padma starts with 75 cards and trades 2 cards to Robert.
- After the first trade, Padma... | To solve this problem, let's break it down step by step:
**Step 1: Identify the number of cards traded by Padma**
Padma traded 2 of her cards for 10 of Robert's cards. Let's represent the number of cards Padma traded as 'x'.
Since Padma started with 75 cards and traded 2 for 10, we can set up the equation:
75 - 2 ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: There are 920 deer in a park. 10% of the deer have 8 antlers, and a quarter of that number also have albino fur. How many albino 8-antlered deer are there?
Answer:
| To solve this problem, let's break it down into steps.
Step 1: Calculate 10% of the total deer.
10% of 920 deer is (10/100) * 920 = 92 deer.
Step 2: Calculate the number of deer with 8 antlers.
Since 10% of the deer have 8 antlers, we can use this number as our starting point for further calculations.
920 deer have 8... | To solve this problem, let's break it down into steps:
Step 1: Find the number of deer with 8 antlers.
Given that 10% of the deer have 8 antlers, we can set up the equation:
10% of total deer = 920
Let x be the total number of deer.
0.1x = 920
x = 920 / 0.1
x = 9200
So, there are 9200 deer with 8 antlers.
Step 2: ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: There are 920 deer in a park. 10% of the deer have 8 antlers, and a quarter of that number also have albino fur. How many albino 8-antlered deer are there?
Answer:
| To solve this problem, we need to follow the given information step by step.
**Step 1: Calculate the number of deer with 8 antlers**
We are told that 10% of the deer have 8 antlers. Let's calculate the number of deer with 8 antlers:
10% of 920 deer = (10/100) * 920 = 92 deer
**Step 2: Calculate the number of deer w... | To solve this problem, let's break it down into steps:
Step 1: Find the number of deer with 8 antlers.
Given that 10% of the deer have 8 antlers, we can set up the equation:
10% of total deer = 920
Let x be the total number of deer.
0.1x = 920
x = 920 / 0.1
x = 9200
So, there are 9200 deer with 8 antlers.
Step 2: ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: There are 920 deer in a park. 10% of the deer have 8 antlers, and a quarter of that number also have albino fur. How many albino 8-antlered deer are there?
Answer:
| To solve this problem, let's break it down into steps.
Step 1: Calculate 10% of the total deer.
10% of 920 deer is (10/100) * 920 = 92 deer.
Step 2: Calculate the number of deer with 8 antlers.
Since 10% of the deer have 8 antlers, we can use this number as our starting point for further calculations.
920 deer have 8... | To find the number of albino 8-antlered deer, we need to solve two parts of the problem.
**Part 1: Find the number of deer with 8 antlers**
To find the number of deer with 8 antlers, we multiply the total number of deer (920) by 10% (or 0.1).
Number of deer with 8 antlers = 920 * 0.1
= 92
**Part 2: Find the number... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Allison went to the craft store with her friend Marie to buy some glue sticks and construction paper. Allison bought 8 more glue sticks than Marie, but Marie bought six times as many packs of construction paper a... | To solve this problem, we need to find the number of glue sticks and construction paper Allison bought.
Step 1: Find the number of packs of construction paper Allison bought.
Since Marie bought 30 packs of construction paper and she bought six times as many packs as Allison, Allison bought 30 / 6 = 5 packs of construc... | To solve this problem, we need to find the number of glue sticks and packs of construction paper that Allison bought.
Let's start by identifying the number of glue sticks and packs of construction paper that Marie bought.
Marie bought 15 glue sticks and 30 packs of construction paper.
Since Allison bought 8 more glu... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Allison went to the craft store with her friend Marie to buy some glue sticks and construction paper. Allison bought 8 more glue sticks than Marie, but Marie bought six times as many packs of construction paper a... | To solve this problem, we need to find the number of glue sticks and construction paper Allison bought.
Step 1: Find the number of packs of construction paper Allison bought.
Since Marie bought 30 packs of construction paper and she bought six times as many packs as Allison, Allison bought 30 / 6 = 5 packs of construc... | To solve this problem, we need to find out how many glue sticks and packs of construction paper Allison bought.
Let's start by identifying the information given:
- Allison bought 8 more glue sticks than Marie.
- Marie bought 15 glue sticks.
- Marie bought 30 packs of construction paper.
- Allison bought 6 times as m... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Allison went to the craft store with her friend Marie to buy some glue sticks and construction paper. Allison bought 8 more glue sticks than Marie, but Marie bought six times as many packs of construction paper a... | To solve this problem, we need to find the number of glue sticks and construction paper Allison bought.
Step 1: Find the number of packs of construction paper Allison bought.
Since Marie bought 30 packs of construction paper and she bought six times as many packs as Allison, Allison bought 30 / 6 = 5 packs of construc... | To find the total number of craft supply items Allison bought, we need to calculate the number of glue sticks and the number of packs of construction paper and then add them together.
Given:
- Marie bought 15 glue sticks
- Allison bought 8 more glue sticks than Marie
- Marie bought 30 packs of construction paper
Firs... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: James gets bored with his game so decides to play a different one. That game promises 100 hours of gameplay but 80% of that is boring grinding. However, the expansion does add another 30 hours of enjoyable game... | To solve this problem, we need to first find out how much time James spent playing the game.
Since the game is 80% bored, 20% of the time is enjoyable.
First, let's find 20% of 100 hours:
20% of 100 = 0.20 x 100 = 20 hours
Now, we have 20 hours of enjoyable gameplay. The game also adds 30 hours of enjoyable gamepla... | To solve this problem, we need to break it down into two parts: the amount of boring gameplay and the amount of enjoyable gameplay.
**Part 1: Boring Gameplay**
The game initially promises 100 hours of gameplay. However, James decides to play 80% of it, which means he plays 80% of 100 hours.
First, we need to find 80... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: James gets bored with his game so decides to play a different one. That game promises 100 hours of gameplay but 80% of that is boring grinding. However, the expansion does add another 30 hours of enjoyable game... | To solve this problem, we need to first find out how much time James spent playing the game.
Since the game is 80% bored, 20% of the time is enjoyable.
First, let's find 20% of 100 hours:
20% of 100 = 0.20 x 100 = 20 hours
Now, we have 20 hours of enjoyable gameplay. The game also adds 30 hours of enjoyable gamepla... | Let's break down the problem step by step.
Let's assume James plays the original game for x hours.
The original game promises 100 hours of gameplay, but 80% of that is boring grinding, so he plays 80% of 100 hours, which is 0.8 x 100 = 80 hours.
Now, the total hours James plays the game is the sum of the original ga... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: James gets bored with his game so decides to play a different one. That game promises 100 hours of gameplay but 80% of that is boring grinding. However, the expansion does add another 30 hours of enjoyable game... | To solve this problem, we need to first find out how much time James spent playing the game.
Since the game is 80% bored, 20% of the time is enjoyable.
First, let's find 20% of 100 hours:
20% of 100 = 0.20 x 100 = 20 hours
Now, we have 20 hours of enjoyable gameplay. The game also adds 30 hours of enjoyable gamepla... | To find the enjoyable gameplay, we need to first calculate the total hours of gameplay promised by the original game.
The original game promises 100 hours of gameplay.
Then, 80% of 100 hours is the amount of boring gameplay.
To find 80% of 100 hours, we multiply 100 by 0.80 (which is 80% as a decimal).
0.80 * 100... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Monica and Michelle are combining their money to throw a party. Monica brings $15. Michelle brings $12. The cake costs 15 dollars, and soda is $3 a bottle. Each bottle of soda has 12 servings and they buy as many... | To solve this problem, let's first identify the total amount of money Monica and Michelle have:
Monica's money: $15
Michelle's money: $12
Total money: $15 + $12 = $27
Since they have $27, they have enough to buy the cake and the soda for 8 guests.
The cost of the cake is $15.
To find out how much they need to spend... | To solve this problem, we need to calculate the total amount of money Monica and Michelle have together, the total cost of the cake, and then determine how many servings of soda they can buy.
Step 1: Calculate the total amount of money Monica and Michelle have together.
Monica brings $15 and Michelle brings $12, so t... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Monica and Michelle are combining their money to throw a party. Monica brings $15. Michelle brings $12. The cake costs 15 dollars, and soda is $3 a bottle. Each bottle of soda has 12 servings and they buy as many... | To solve this problem, let's first identify the total amount of money Monica and Michelle have:
Monica's money: $15
Michelle's money: $12
Total money: $15 + $12 = $27
Since they have $27, they have enough to buy the cake and the soda for 8 guests.
The cost of the cake is $15.
To find out how much they need to spend... | To find out how many servings of soda each guest gets, let's start by calculating the total cost of the cake and the soda for the party.
**Step 1: Calculate the cost of the cake and the soda.**
- The cake costs $15.
- Each bottle of soda has 12 servings and costs $3. Since they have to buy as many bottles as they can ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Monica and Michelle are combining their money to throw a party. Monica brings $15. Michelle brings $12. The cake costs 15 dollars, and soda is $3 a bottle. Each bottle of soda has 12 servings and they buy as many... | To solve this problem, let's first identify the total amount of money Monica and Michelle have:
Monica's money: $15
Michelle's money: $12
Total money: $15 + $12 = $27
Since they have $27, they have enough to buy the cake and the soda for 8 guests.
The cost of the cake is $15.
To find out how much they need to spend... | To solve this problem, let's break it down step by step:
1. First, we need to find out how much money Monica and Michelle have together. Monica brings $15 and Michelle brings $12, so together they have $15 + $12 = $27.
2. Next, we need to determine the cost of one serving of soda. The cake costs $15 and each bottle... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Peter is buying a set of glasses. They cost $3 for small glasses and $5 for large ones. He has $50. If he buys 8 small ones and leaves with $1 in change, how many large ones did he buy?
Answer:
| To solve this problem, let's break it down step by step.
Let's say Peter buys x large glasses. We know that small glasses cost $3 each, and large glasses cost $5 each.
We also know that Peter has $50 initially and leaves with $1 in change. This means he spent $49 on glasses.
The total cost of the glasses can be calc... | To find out how many large glasses Peter bought, let's follow these steps:
1. Calculate the total amount spent on small glasses:
- Number of small glasses = 8
- Cost per small glass = $3
- Total spent on small glasses = 8 x $3 = $24
2. Determine the total amount Peter has left after buying the small glasses:... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Peter is buying a set of glasses. They cost $3 for small glasses and $5 for large ones. He has $50. If he buys 8 small ones and leaves with $1 in change, how many large ones did he buy?
Answer:
| To solve this problem, let's break it down step by step.
Let's say Peter buys x large glasses. We know that small glasses cost $3 each, and large glasses cost $5 each.
We also know that Peter has $50 initially and leaves with $1 in change. This means he spent $49 on glasses.
The total cost of the glasses can be calc... | To solve this problem, let's break it down step by step.
Let's denote the number of small glasses Peter buys as x.
Since Peter pays $3 for each small glass, the cost of the small glasses is 3x dollars.
He has $50, which means the total amount he pays for the small glasses is 50 - 1 = 49 dollars. Therefore, we can se... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Peter is buying a set of glasses. They cost $3 for small glasses and $5 for large ones. He has $50. If he buys 8 small ones and leaves with $1 in change, how many large ones did he buy?
Answer:
| To solve this problem, let's break it down into steps:
**Step 1: Calculate the total cost of small glasses**
Peter buys 8 small glasses at $3 each, so the total cost of small glasses is:
8 x $3 = $24
**Step 2: Subtract the total cost of small glasses from Peter's initial $50**
To find out how much money Peter spent... | To find out how many large glasses Peter bought, let's follow these steps:
1. Calculate the total amount spent on small glasses:
- Number of small glasses = 8
- Cost per small glass = $3
- Total spent on small glasses = 8 x $3 = $24
2. Determine the total amount Peter has left after buying the small glasses:... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Oshea bought 200 basil seeds. He wants to plant them in planters. He has 4 large planters that can hold 20 seeds each. He also has small planters that can hold 4 seeds each. How many small planters will he need t... | To find out how many small planters Oshea needs, let's follow these steps:
1. Calculate the total number of seeds Oshea has:
- Large planters: 4 planters * 20 seeds per planter = 80 seeds
- Small planters: 200 seeds - 80 seeds = 120 seeds
2. Calculate the number of small planters needed:
- Divide the total number of ... | To solve this problem, we need to find out how many seeds each planter can hold and divide the total number of seeds by that.
First, let's find out how many seeds each planter can hold:
- Large planters: 4 planters can hold 20 seeds each, so each can hold 20 * 4 = 80 seeds
- Small planters: 1 planter can hold 4 seeds... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Oshea bought 200 basil seeds. He wants to plant them in planters. He has 4 large planters that can hold 20 seeds each. He also has small planters that can hold 4 seeds each. How many small planters will he need t... | To find out how many small planters Oshea needs, let's follow these steps:
1. Calculate the total number of seeds Oshea has:
- Large planters: 4 planters * 20 seeds per planter = 80 seeds
- Small planters: 200 seeds - 80 seeds = 120 seeds
2. Calculate the number of small planters needed:
- Divide the total number of ... | To find out how many small planters Oshea needs to plant the basil seeds, we need to calculate the total number of seeds he has and divide it by the capacity of the small planters.
Step 1: Calculate the total number of seeds Oshea has.
Oshea has 200 basil seeds.
Step 2: Calculate the total capacity of the large plan... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Oshea bought 200 basil seeds. He wants to plant them in planters. He has 4 large planters that can hold 20 seeds each. He also has small planters that can hold 4 seeds each. How many small planters will he need t... | To find out how many small planters Oshea needs, we need to calculate the total number of seeds he has and divide it by the number of seeds that each small planter can hold.
Let's start by finding out the total number of seeds:
- He has 200 seeds.
- Each large planter can hold 20 seeds.
- There are 4 large planters.
... | To solve this problem, we need to find out how many seeds each planter can hold and divide the total number of seeds by that.
First, let's find out how many seeds each planter can hold:
- Large planters: 4 planters can hold 20 seeds each, so each can hold 20 * 4 = 80 seeds
- Small planters: 1 planter can hold 4 seeds... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Eric sorted 150 colored pencils into 5 containers for his art class. Before class, another teacher brought him 30 more pencils. How many can he evenly distribute between the five containers now?
Answer:
| To find out how many pencils Eric can distribute evenly between the five containers, we need to divide the total number of pencils by the number of containers.
First, let's calculate the total number of pencils:
150 (initial pencils) + 30 (additional pencils) = 180 pencils.
Now, let's divide the total number of penc... | To solve this problem, we need to divide the total number of pencils by the number of containers.
Step 1: Find the total number of pencils Eric has now.
Total number of pencils = 150
Number of containers = 5
Total number of pencils now = 150 / 5 = 30
Step 2: Find the number of pencils Eric can evenly distribute betwe... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Eric sorted 150 colored pencils into 5 containers for his art class. Before class, another teacher brought him 30 more pencils. How many can he evenly distribute between the five containers now?
Answer:
| To solve this problem, we need to first find out how many pencils Eric has now. He started with 150 pencils and received 30 more.
Step 1: Add the initial number of pencils to the number of pencils received.
150 (initial pencils) + 30 (pencils received) = 180 pencils
Step 2: Now, divide the total number of pencils b... | To solve this problem, we need to divide the total number of pencils by the number of containers.
Step 1: Find the total number of pencils Eric has now.
Total number of pencils = 150
Number of containers = 5
Total number of pencils now = 150 / 5 = 30
Step 2: Find the number of pencils Eric can evenly distribute betwe... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Eric sorted 150 colored pencils into 5 containers for his art class. Before class, another teacher brought him 30 more pencils. How many can he evenly distribute between the five containers now?
Answer:
| To find out how many pencils Eric can distribute evenly between the five containers, we need to divide the total number of pencils by the number of containers.
First, let's calculate the total number of pencils:
150 (initial pencils) + 30 (additional pencils) = 180 pencils.
Now, let's divide the total number of penc... | To find out how many pencils Eric can evenly distribute between the five containers, we first need to find the total number of pencils he has now. We can do this by adding the original number of pencils to the additional pencils brought by the teacher.
Original number of pencils: 150
Additional pencils: 30
To add the... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Stella collects stamps. She counted 50 pages in her collector's album. There are 5 rows of 30 stamps in each of the first 10 pages of her album. The rest of the pages each have 50 stamps. How many stamps are in S... | To find the total number of stamps in Stella's album, we need to calculate the number of stamps on the first 10 pages, and the number of stamps on the remaining pages.
**First, let's calculate the number of stamps on the first 10 pages:**
Each of the first 10 pages has 5 rows, and each row has 30 stamps. So, the tota... | To find the total number of stamps in Stella's album, we need to follow these steps:
1. Calculate the number of stamps in the first 10 pages:
- First, calculate the number of stamps per row: 30 stamps per row.
- Multiply the number of rows (10) by the number of stamps per row (30): 10 * 30 = 300 stamps.
- The... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Stella collects stamps. She counted 50 pages in her collector's album. There are 5 rows of 30 stamps in each of the first 10 pages of her album. The rest of the pages each have 50 stamps. How many stamps are in S... | To find the total number of stamps in Stella's album, we need to calculate the number of stamps on the first 10 pages, and the number of stamps on the remaining pages.
**First, let's calculate the number of stamps on the first 10 pages:**
Each of the first 10 pages has 5 rows, and each row has 30 stamps. So, the tota... | Let's break down the problem step by step:
**Step 1: Calculate the total number of stamps in the first 10 pages**
The first 10 pages have 5 rows with 30 stamps each. To find the total number of stamps in these pages, we multiply the number of rows by the number of stamps per row:
5 rows × 30 stamps/row = 150 stamps
... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Stella collects stamps. She counted 50 pages in her collector's album. There are 5 rows of 30 stamps in each of the first 10 pages of her album. The rest of the pages each have 50 stamps. How many stamps are in S... | To find the total number of stamps in Stella's album, we need to calculate the number of stamps on the first 10 pages, and the number of stamps on the remaining pages.
**First, let's calculate the number of stamps on the first 10 pages:**
Each of the first 10 pages has 5 rows, and each row has 30 stamps. So, the tota... | To find the total number of stamps in Stella's album, let's break down the problem step by step.
Step 1: Calculate the total number of stamps on the first 10 pages.
Number of stamps in each row on the first 10 pages = 30 stamps
Total number of stamps in the first 10 pages = 10 x 30 = 300 stamps
Step 2: Calculate the... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: James gets a cable program. The first 100 channels cost $100 and the next 100 channels cost half that much. He splits it evenly with his roommate. How much did he pay?
Answer:
| To solve this problem, let's break it down into steps:
1. **First, find the total cost of the channels before splitting:**
- The first 100 channels cost $100 each.
- The next 100 channels cost half that much, which is $50 each.
- The total cost of the channels is the sum of these two costs: 100 + 50 = $150
2. **Now,... | To solve this problem, let's break it down step by step.
Let's denote the amount James paid for the first 100 channels as X. Since the next 100 channels cost half as much, the cost of the next 100 channels is X/2.
The total cost for the 200 channels is the sum of the cost of the first 100 channels and the cost of the... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: James gets a cable program. The first 100 channels cost $100 and the next 100 channels cost half that much. He splits it evenly with his roommate. How much did he pay?
Answer:
| To solve this problem, let's break it down into steps:
1. **First, find the total cost of the channels before splitting:**
- The first 100 channels cost $100 each.
- The next 100 channels cost half that much, which is $50 each.
- The total cost of the channels is the sum of these two costs: 100 + 50 = $150
2. **Now,... | To solve this problem, we need to calculate the total cost of the cable program for James and then divide it by 2 to find out how much James paid.
**Step 1: Calculate the cost of the first 100 channels**
The first 100 channels cost $100. This is given in the problem statement.
**Step 2: Calculate the cost of the nex... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: James gets a cable program. The first 100 channels cost $100 and the next 100 channels cost half that much. He splits it evenly with his roommate. How much did he pay?
Answer:
| To solve this problem, let's break it down into steps:
1. **First, find the total cost of the channels before splitting:**
- The first 100 channels cost $100 each.
- The next 100 channels cost half that much, which is $50 each.
- The total cost of the channels is the sum of these two costs: 100 + 50 = $150
2. **Now,... | To find out how much James paid, we need to calculate the total cost of the channels and then divide it by 2 since he splits it evenly with his roommate.
Step 1: Calculate the cost of the first 100 channels
The first 100 channels cost $100.
Step 2: Calculate the cost of the next 100 channels
The next 100 channels cos... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: A desert garden’s sprinkler system runs twice a day during the cool morning and evening hours. It waters the garden with four liters of water in the morning and six liters in the evening. How many days does it ta... | To find out how many days it takes for the sprinkler system to use 50 liters of water, we need to calculate the total amount of water used per day and then divide that by the daily usage rate.
First, let's calculate the total amount of water used per day:
Morning: 4 liters
Evening: 6 liters
Total daily usage: 4 + 6 ... | To find out how many days it takes for the sprinkler system to use 50 liters of water, let's break down the daily usage:
**Morning Watering:**
The sprinkler system waters the garden with 4 liters of water twice a day during the morning hours. To find the total amount of water used per day, we multiply the amount of wa... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: A desert garden’s sprinkler system runs twice a day during the cool morning and evening hours. It waters the garden with four liters of water in the morning and six liters in the evening. How many days does it ta... | To find out how many days it takes the sprinkler system to use 50 liters of water, let's follow these steps:
Step 1: Determine the total amount of water used per day by the sprinkler system.
Morning water usage: 4 liters
Evening water usage: 6 liters
Total water usage per day: 4 + 6 = 10 liters
Step 2: Calculate how ... | To find out how many days it takes for the sprinkler system to use 50 liters of water, let's break down the daily usage:
**Morning Watering:**
The sprinkler system waters the garden with 4 liters of water twice a day during the morning hours. To find the total amount of water used per day, we multiply the amount of wa... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: A desert garden’s sprinkler system runs twice a day during the cool morning and evening hours. It waters the garden with four liters of water in the morning and six liters in the evening. How many days does it ta... | To find out how many days it takes for the sprinkler system to use 50 liters of water, we need to calculate the total amount of water used per day and then divide that by the daily usage rate.
First, let's calculate the total amount of water used per day:
Morning: 4 liters
Evening: 6 liters
Total daily usage: 4 + 6 ... | To solve this problem, we need to calculate the total amount of water used by the sprinkler system per day and then divide it by the total amount of water it uses in a day.
**Step 1: Calculate the amount of water used per day**
The sprinkler system waters the garden twice a day, with 4 liters of water in the morning ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Janessa has a plan to give her brother Dexter his first collection of baseball cards. She currently has 4 cards in addition to the 13 that her father gave her. She ordered a collection of 36 cards from eBay. Aft... | To solve this problem, let's break it down step by step:
1. Janessa starts with a total of 4 + 13 = 17 cards.
2. She orders 36 more cards, so now she has 17 + 36 = 53 cards.
3. After inspecting the cards and throwing away 4 that are in bad shape, Janessa is left with 53 - 4 = 49 cards.
4. She gives 29 cards to Dexter,... | To find out how many cards Janessa kept for herself, we need to first calculate the total number of cards she started with.
She had 4 cards initially, and then she received 13 cards from her father. So, the total number of cards she had is:
4 + 13 = 17
She ordered 36 cards from eBay, but then threw away 4 cards. So, ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Janessa has a plan to give her brother Dexter his first collection of baseball cards. She currently has 4 cards in addition to the 13 that her father gave her. She ordered a collection of 36 cards from eBay. Aft... | Let's solve the problem step by step:
**Initial Cards**
Janessa starts with 4 cards that she already owns. She also has 13 cards given by her father.
Initial total cards = 4 (Janessa's) + 13 (father's) = 17 cards
**Acquired Cards from eBay**
Janessa orders 36 cards from eBay.
Total cards = 17 (initial) + 36 (ebay) ... | To find out how many cards Janessa kept for herself, we need to first calculate the total number of cards she started with.
She had 4 cards initially, and then she received 13 cards from her father. So, the total number of cards she had is:
4 + 13 = 17
She ordered 36 cards from eBay, but then threw away 4 cards. So, ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Janessa has a plan to give her brother Dexter his first collection of baseball cards. She currently has 4 cards in addition to the 13 that her father gave her. She ordered a collection of 36 cards from eBay. Aft... | Let's solve the problem step by step:
**Step 1: Calculate the total number of cards Janessa has before throwing any away**
Janessa currently has 4 cards (her own) and her father gave her 13 cards, so she has a total of: 4 + 13 = 17 cards.
**Step 2: Calculate the total number of cards Janessa has after ordering more ... | To find out how many cards Janessa kept for herself, we need to first calculate the total number of cards she started with.
She had 4 cards initially, and then she received 13 cards from her father. So, the total number of cards she had is:
4 + 13 = 17
She ordered 36 cards from eBay, but then threw away 4 cards. So, ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Wilson decides to go sledding on some nearby hills. On the 2 tall hills, he sleds down them 4 times each and on the 3 small hills, he sled down them half as often as he sleds down the tall hills. How many times d... | To find the total number of times Wilson sleds down the hills, we need to calculate the number of times he sleds down each type of hill and add them together.
For the tall hills:
He sleds down 4 times on each of the 2 hills, so the total number of times he sleds down the tall hills is 4 * 2 = 8.
For the small hills:
... | Let's break down the problem step by step:
**Step 1: Identify the number of times Wilson sleds down the tall hills**
We are given that Wilson sleds down the 2 tall hills 4 times each. So, we can calculate the total number of times he sleds down the tall hills as follows:
2 tall hills x 4 sleds/hill = 8 sleds
**Step ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Wilson decides to go sledding on some nearby hills. On the 2 tall hills, he sleds down them 4 times each and on the 3 small hills, he sled down them half as often as he sleds down the tall hills. How many times d... | To find the total number of times Wilson sleds down the hills, we need to calculate the number of times he sleds down each type of hill and add them together.
For the tall hills:
He sleds down 4 times on each of the 2 hills, so the total number of times he sleds down the tall hills is 4 * 2 = 8.
For the small hills:
... | To find the total number of times Wilson sleds down the hills, we need to calculate the number of times he sleds down each type of hill and then add them together.
**Step 1: Calculate the number of times Wilson sleds down the tall hills**
Since Wilson sleds down the tall hills 4 times each, and there are 2 tall hills... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: Wilson decides to go sledding on some nearby hills. On the 2 tall hills, he sleds down them 4 times each and on the 3 small hills, he sled down them half as often as he sleds down the tall hills. How many times d... | To find the total number of times Wilson sleds down the hills, we need to calculate the number of times he sleds down each type of hill and add them together.
For the tall hills:
He sleds down 4 times on each of the 2 hills, so the total number of times he sleds down the tall hills is 4 * 2 = 8.
For the small hills:
... | To find out how many times Wilson sleds down the hills, we need to calculate the total number of times he sleds down the tall hills and the small hills separately and then add them together.
**Tall Hills:**
Wilson sleds down the 2 tall hills 4 times each, so the total number of times he sleds down the tall hills is:
2... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: A cooler is filled with 24 cans of cherry soda and orange pop. If there are twice as many cans of orange pop as there are of cherry soda, how many cherry sodas are there?
Answer:
| To find the number of cans of cherry sodas, we need to set up a simple algebraic equation based on the given information.
Let's say the number of cans of cherry soda is x.
Since there are twice as many cans of orange pop as there are of cherry soda, the number of cans of orange pop is 2x.
We know that the total numb... | To find the number of cherry sodas, we need to set up the equation based on the given information. Let's say the number of cans of cherry soda is represented by x. Since the cooler has twice as many cans of orange pop as there are of cherry soda, the number of cans of orange pop can be represented as 2x.
The total num... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: A cooler is filled with 24 cans of cherry soda and orange pop. If there are twice as many cans of orange pop as there are of cherry soda, how many cherry sodas are there?
Answer:
| To find the number of cans of cherry sodas, we need to set up a simple algebraic equation based on the given information.
Let's say the number of cans of cherry soda is x.
Since there are twice as many cans of orange pop as there are of cherry soda, the number of cans of orange pop is 2x.
We know that the total numb... | To solve this problem, we need to follow these steps:
1. Let's define the variables:
- Let C = number of cans of cherry soda
- Let O = number of cans of orange pop
2. We know that there are twice as many cans of orange pop as there are of cherry soda, so we can write this relationship as:
O = 2C
3. We also ... |
You are a precise math tutor. Solve the following problem step by step, showing all work clearly. Question: A cooler is filled with 24 cans of cherry soda and orange pop. If there are twice as many cans of orange pop as there are of cherry soda, how many cherry sodas are there?
Answer:
| To find the number of cans of cherry sodas, we need to set up a simple algebraic equation based on the given information.
Let's say the number of cans of cherry soda is x.
Since there are twice as many cans of orange pop as there are of cherry soda, the number of cans of orange pop is 2x.
We know that the total numb... | To solve this problem, let's break it down into steps.
Let's say the number of cans of cherry soda is x. Since there are twice as many cans of orange pop as there are of cherry soda, the number of cans of orange pop is 2x.
We are given that the cooler is filled with 24 cans of cherry soda and orange pop. We can set u... |
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