Question
Solve the word problem below using the steps given in the lesson. Show your equation and each step you take to solve it.
Neil and Tom love to collect baseball cards. Neil has 83 more baseball cards than Tom. Neil has 517 baseball cards.
How many baseball cards does Tom have?
WRITER
Neil and Tom love to collect baseball cards. Neil has 83 more baseball cards than Tom. Neil has 517 baseball cards.
How many baseball cards does Tom have?
WRITER
Answers
GPT-4o mini
To solve the problem, we'll follow these steps:
### Step 1: Identify the variables
Let's define the variable for the unknown quantity:
- Let \( T \) represent the number of baseball cards Tom has.
### Step 2: Set up the equation
We know from the problem that Neil has 83 more baseball cards than Tom, and Neil has 517 baseball cards. We can express this relationship with the equation:
\[ N = T + 83 \]
Where \( N \) is the number of baseball cards Neil has. Since Neil has 517 baseball cards, we can substitute that value into the equation:
\[ 517 = T + 83 \]
### Step 3: Solve the equation
To find out how many baseball cards Tom has, we need to isolate \( T \). We do this by subtracting 83 from both sides of the equation:
\[ 517 - 83 = T \]
Calculating the left side:
\[ 434 = T \]
### Step 4: Write the final answer
Tom has \( 434 \) baseball cards.
### Summary
Using the information from the problem:
1. We defined the variable for Tom's baseball cards \( T \).
2. We set up the equation based on the relationship given.
3. We solved for \( T \) and found that Tom has 434 baseball cards.
### Step 1: Identify the variables
Let's define the variable for the unknown quantity:
- Let \( T \) represent the number of baseball cards Tom has.
### Step 2: Set up the equation
We know from the problem that Neil has 83 more baseball cards than Tom, and Neil has 517 baseball cards. We can express this relationship with the equation:
\[ N = T + 83 \]
Where \( N \) is the number of baseball cards Neil has. Since Neil has 517 baseball cards, we can substitute that value into the equation:
\[ 517 = T + 83 \]
### Step 3: Solve the equation
To find out how many baseball cards Tom has, we need to isolate \( T \). We do this by subtracting 83 from both sides of the equation:
\[ 517 - 83 = T \]
Calculating the left side:
\[ 434 = T \]
### Step 4: Write the final answer
Tom has \( 434 \) baseball cards.
### Summary
Using the information from the problem:
1. We defined the variable for Tom's baseball cards \( T \).
2. We set up the equation based on the relationship given.
3. We solved for \( T \) and found that Tom has 434 baseball cards.