https://file.aiquickdraw.com/mathbot/file/1725440070073aifrvobc.jpg

To solve the problem in the image, let's analyze the situation step by step.

### Problem Summary:
- Luke initially had $111.
- After Jennifer spent $43, Luke had 3 times as much money as Jennifer.
- We need to find out how much more money Luke had than Jennifer at first.

### Steps to Solve:

1. **Let $ J $ be the amount of money Jennifer had initially.**
   
2. After Jennifer spent $43, she has $ J - 43 $ left.
   
3. According to the problem, Luke's money is 3 times Jennifer's remaining money:
   \[
   111 = 3 \times (J - 43)
   \]

4. Now, solve the equation for $ J $:
   \[
   111 = 3 \times (J - 43)
   \]
   Divide both sides by 3:
   \[
   37 = J - 43
   \]
   Add 43 to both sides:
   \[
   J = 80
   \]

   So, Jennifer had $80 initially.

5. **Determine how much more money Luke had than Jennifer initially:**
   \[
   111 - 80 = 31
   \]
   Therefore, Luke had $31 more than Jennifer at first.

### Final Answer:
Luke had **$31** more than Jennifer at first.

Would you like more details or have any questions?

Here are some related questions for further practice:

1. If Jennifer had $100 initially, how much did she have left after spending $43?
2. How much money did Luke have after Jennifer spent $43?
3. If Luke had 4 times as much money as Jennifer after her spending, what would Jennifer's initial amount be?
4. What if Jennifer spent $50 instead? How would that change the problem?
5. Can you create a similar problem but with different numbers and solve it?

**Tip:** When solving problems involving comparisons like "3 times as much," always set up the equation carefully to relate the amounts.

Luke had $111 at first. After Jennifer spent $43, Luke had 3 times as much money as Jennifer. How much more money did Luke have than Jennifer at first?

This problem involves solving a linear equation to determine how much more money Luke had than Jennifer at first. Luke had $111 initially, and after Jennifer spent $43, Luke's remaining amount was 3 times that of Jennifer's. Suitable for students in Grades 5-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation