Joshua started with 100  baseball cards and gave away "x" of them. Chad started with 175 baseball cards and gave away twice as many as Joshua did. How many baseball cards did Joshua give away if they had the same number of baseball cards left?



Let’s break this problem down step by step.

1. **Joshua's cards**:
   - He started with 100 baseball cards.
   - He gave away "x" cards.
   - Therefore, the number of cards Joshua has left is \( 100 - x \).

2. **Chad's cards**:
   - He started with 175 baseball cards.
   - He gave away twice as many as Joshua, so Chad gave away \( 2x \) cards.
   - Therefore, the number of cards Chad has left is \( 175 - 2x \).

3. **Condition:**
   The problem states that Joshua and Chad have the same number of cards left. Therefore, we can set up the following equation:
   \[
   100 - x = 175 - 2x
   \]

4. **Solving the equation**:
   To find the value of \( x \), let's solve this equation step by step.

   \[
   100 - x = 175 - 2x
   \]
   First, add \( 2x \) to both sides to eliminate the \( -2x \) on the right:
   \[
   100 + x = 175
   \]
   Now subtract 100 from both sides:
   \[
   x = 75
   \]

So, Joshua gave away **75 baseball cards**.

Would you like more details or have any questions? 

Here are 5 related questions to expand this concept:
1. How many baseball cards does Joshua have left after giving away 75 cards?
2. How many baseball cards does Chad have left after giving away twice what Joshua gave away?
3. If Chad gave away three times as many cards as Joshua, how many cards would Joshua have given away?
4. What is the total number of baseball cards they gave away together?
5. If Joshua started with 120 cards instead of 100, how would that change the result?

**Tip:** When two quantities are equal, you can always set up an equation and solve for the unknown variable.

Joshua started with 100 baseball cards and gave away 'x' of them. Chad started with 175 baseball cards and gave away twice as many as Joshua did. How many baseball cards did Joshua give away if they had the same number of baseball cards left?

Discover how to solve a linear equation where Joshua and Chad give away baseball cards. This step-by-step guide explains how Joshua gave away 75 baseball cards using algebraic methods, perfect for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation