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### Problem Summary
- Last year:
  - 75 ninth graders on the honor roll.
  - 100 tenth graders on the honor roll.
- This year:
  - Number of ninth graders on the honor roll increased by 24%.
  - Number of tenth graders on the honor roll increased by 5%.
  
We need to determine the percentage increase in the total number of students on the honor roll and round the answer to the nearest tenth.

### Solution Steps
1. **Calculate the increase in ninth graders:**
   - Last year's ninth graders: 75.
   - Increase: \( 75 \times \frac{24}{100} = 18 \).
   - This year’s ninth graders: \( 75 + 18 = 93 \).

2. **Calculate the increase in tenth graders:**
   - Last year's tenth graders: 100.
   - Increase: \( 100 \times \frac{5}{100} = 5 \).
   - This year’s tenth graders: \( 100 + 5 = 105 \).

3. **Calculate the total number of students last year and this year:**
   - Total last year: \( 75 + 100 = 175 \).
   - Total this year: \( 93 + 105 = 198 \).

4. **Calculate the percentage increase:**
   - Increase in total students: \( 198 - 175 = 23 \).
   - Percentage increase: \( \frac{23}{175} \times 100 \approx 13.1\%\).

### Final Answer
The total number of students on the honor roll increased by **13.1%**.

Would you like more details on any part of this solution, or do you have any questions?

### Related Questions
1. How do you calculate the percentage increase for other values?
2. What is the formula for percentage change?
3. How do you round percentages to the nearest tenth?
4. How does a change in one category affect the overall percentage change?
5. What if the increase was a decrease? How would the calculations change?

### Tip
Always double-check your calculations, especially when rounding percentages, to ensure accuracy in your final answer.

Last year at a certain high school, there were 75 ninth graders on the honor roll and 100 tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by 24% and the number of tenth graders on the honor roll increased by 5%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth.

Solve the problem of determining the percentage increase in the total number of ninth and tenth graders on the honor roll, with a detailed step-by-step solution. This problem covers the concept of percentage increase, suitable for students in Grades 7-8.

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