Jaime finishes 15 math problems in 2.5 hours. 

a. How many math problems can he finish in 8 hours?  using ratio scaling

To solve this problem using ratio scaling, we'll set up a proportion based on the given information:

### Given:
- Jaime finishes 15 math problems in 2.5 hours.

### To Find:
- The number of math problems Jaime can finish in 8 hours.

### Steps:
1. **Set up the proportion**:
   \[
   \frac{15 \text{ problems}}{2.5 \text{ hours}} = \frac{x \text{ problems}}{8 \text{ hours}}
   \]
   Here, \( x \) represents the number of problems Jaime can complete in 8 hours.

2. **Cross-multiply to solve for \( x \)**:
   \[
   15 \times 8 = 2.5 \times x
   \]
   \[
   120 = 2.5x
   \]

3. **Solve for \( x \)**:
   \[
   x = \frac{120}{2.5}
   \]
   \[
   x = 48
   \]

### Answer:
Jaime can finish **48 math problems** in 8 hours.

Would you like more details or have any questions?

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Here are 5 related questions to expand your understanding:

1. How many math problems can Jaime finish in 1 hour?
2. If Jaime's speed increases by 20%, how many problems can he solve in 8 hours?
3. How long would it take Jaime to finish 30 math problems?
4. What if Jaime could only work for 1.5 hours—how many problems could he complete?
5. If Jaime completed 24 math problems, how much time did he spend?

**Tip:** When working with ratios, ensure the units are consistent across the proportion for accurate results.

Learn how to calculate the number of math problems Jaime can finish in 8 hours using ratio scaling. Follow a step-by-step solution based on the given information that Jaime finishes 15 math problems in 2.5 hours. Suitable for Grades 6-8.

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