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Let's break down the problem step by step:

1. **Total Allowance:** Let's assume Jamela's total allowance is \( A \) (we'll solve for \( A \) later).

2. **Money spent on a book:**
   - She used \( \frac{7}{10} \) of her allowance for the book.
   - Therefore, the amount spent on the book is \( \frac{7}{10} \times A \).

3. **Money donated to the class lunch:**
   - She donated \( \frac{1}{5} \) of her allowance for the class lunch.
   - Therefore, the amount spent on the class lunch is \( \frac{1}{5} \times A \).

4. **Extra spent on the book:** 
   - We are told that she spent 115 more on the book than on the class lunch.
   - This gives us the equation:
   \[
   \frac{7}{10} \times A = \frac{1}{5} \times A + 115
   \]

5. **Solving for \( A \):**
   \[
   \frac{7}{10}A = \frac{1}{5}A + 115
   \]
   First, convert \( \frac{1}{5} \) to a fraction with a denominator of 10:
   \[
   \frac{7}{10}A = \frac{2}{10}A + 115
   \]
   Subtract \( \frac{2}{10}A \) from both sides:
   \[
   \frac{5}{10}A = 115
   \]
   Simplifying:
   \[
   \frac{1}{2}A = 115
   \]
   Multiply both sides by 2:
   \[
   A = 230
   \]

6. **Money saved:**
   - Jamela's total allowance is \( A = 230 \).
   - She spent \( \frac{7}{10} \times 230 = 161 \) on the book.
   - She donated \( \frac{1}{5} \times 230 = 46 \) for the class lunch.
   - The remainder, which she saved, is:
     \[
     230 - 161 - 46 = 23
     \]
   So, Jamela saved **23**.

Would you like more details or have any questions?

### Related Questions:
1. What if she spent only \( \frac{5}{10} \) of her allowance on the book?
2. How would the equation change if she donated \( \frac{1}{4} \) of her allowance instead?
3. If her allowance increased by 20%, how much would she save?
4. How much would she save if she spent half as much on the book?
5. What is the total percentage of her allowance that Jamela used?

### Tip:
When solving problems with fractions, it’s helpful to first standardize the denominators to simplify the calculations.

1/10 of Jamela's allowance was used to purchase a book. She donated 1/5 of her allowance to a class lunch and saved the remainder. If she spent 115 more on the book than the class lunch, calculate how much money she saved.

Learn how to calculate how much Jamela saved from her allowance after buying a book and donating to a class lunch. This problem involves understanding fractions and solving linear equations, ideal for Grades 5-7 students.

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