https://file.aiquickdraw.com/mathbot/file/17284368019265q69ukc5.jpg

The problem states:

- $ \frac{1}{5} $ of Jameela's allowance was used for class lunch.
- She saved the remainder of her allowance.
- She spent $115 more on a book than on the class lunch.
- The goal is to calculate how much money she saved.

### Step-by-step solution:

1. Let $ A $ be the total allowance.
2. The amount spent on class lunch is $ \frac{1}{5} \times A = \frac{A}{5} $.
3. She spent $115 more on the book than on the class lunch. Therefore, the amount spent on the book is:
   \[
   \text{Amount on the book} = \frac{A}{5} + 115
   \]
4. The total spending (on both the book and lunch) is the sum of these two amounts:
   \[
   \text{Total spent} = \frac{A}{5} + \left( \frac{A}{5} + 115 \right) = \frac{2A}{5} + 115
   \]
5. The remaining part of her allowance (the amount saved) is:
   \[
   \text{Amount saved} = A - \left( \frac{2A}{5} + 115 \right) = A - \frac{2A}{5} - 115
   \]
6. Simplifying this, we get:
   \[
   \text{Amount saved} = \frac{5A}{5} - \frac{2A}{5} - 115 = \frac{3A}{5} - 115
   \]
7. To find how much she saved, we need the value of $ A $. Since the total allowance isn't given explicitly, we can express the savings in terms of $ A $:
   \[
   \text{Savings} = \frac{3A}{5} - 115
   \]

Without the total allowance $ A $, the exact amount of savings cannot be determined. However, this formula expresses how much money she saved in relation to her total allowance.

Would you like to explore any part of this solution in more detail, or do you have questions?

Here are some relative questions to further explore this concept:
1. How can we calculate the total allowance if more information is provided?
2. What is the relationship between the spending on the book and the lunch?
3. How can we solve similar problems if we know the total savings instead?
4. What percentage of the total allowance did Jameela save?
5. How would the problem change if the extra amount spent on the book was a percentage instead of a fixed number?

**Tip:** When dealing with unknown quantities, expressing relationships in terms of a variable helps solve and explore multiple scenarios easily!

1/5 of Jameela's allowance was used to purchase a class lunch, and she saved the remainder. If she spent $115 more on the book than the class lunch, calculate how much money she saved.

Learn how to solve a word problem involving the allocation of allowance. Calculate how much Jameela saved when she spent part of her allowance on lunch and $115 more on a book. This problem covers algebraic concepts and is suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation