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Last year at a certain high school, there were 76 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 decreased by 25% and the number of tenth graders on the honor roll decreased by 4%. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary).

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Answer:

the total number of students on the honor roll decreased by approximately 13.1%.

Step-by-step explanation:

To calculate the total percentage decrease in the number of students on the honor roll, we need to follow these steps:

1. Calculate the new number of ninth graders on the honor roll after a 25% decrease:

- 25% of 76 is $76 \times \frac{25}{100} = 76 \times 0.25 = 19

2. Calculate the new number of tenth graders on the honor roll after a 4% decrease:

- 4% of 100 is $100 \times \frac{4}{100} = 100 \times 0.04 = 4

3. Find the total number of students on the honor roll last year:

- Total students last year: 76 (ninth graders) + 100 (tenth graders) = 176

4. Find the total number of students on the honor roll this year:

- Total students this year: 57 (new ninth graders) + 96 (new tenth graders) = 153

5. Calculate the total percentage decrease in the number of students on the honor roll:

- Total decrease: 176 (total last year) - 153 (total this year) = 23

- Percentage decrease:

Therefore, To calculate the total percentage decrease in the number of students on the honor roll, we need to follow these steps:

1. Calculate the new number of ninth graders on the honor roll after a 25% decrease:

- 25% of 76 is $76 \times \frac{25}{100} = 76 \times 0.25 = 19

2. Calculate the new number of tenth graders on the honor roll after a 4% decrease:

- 4% of 100 is $100 \times \frac{4}{100} = 100 \times 0.04 = 4

3. Find the total number of students on the honor roll last year:

- Total students last year: 76 (ninth graders) + 100 (tenth graders) = 176

4. Find the total number of students on the honor roll this year:

- Total students this year: 57 (new ninth graders) + 96 (new tenth graders) = 153

5. Calculate the total percentage decrease in the number of students on the honor roll:

- Total decrease: 176 (total last year) - 153 (total this year) = 23

- Percentage decrease:

Therefore, the total number of students on the honor roll decreased by approximately 13.1%.To calculate the total percentage decrease in the number of students on the honor roll, we need to follow these steps:

1. Calculate the new number of ninth graders on the honor roll after a 25% decrease:

- 25% of 76 is $76 \times \frac{25}{100} = 76 \times 0.25 = 19

2. Calculate the new number of tenth graders on the honor roll after a 4% decrease:

- 4% of 100 is $100 \times \frac{4}{100} = 100 \times 0.04 = 4

3. Find the total number of students on the honor roll last year:

- Total students last year: 76 (ninth graders) + 100 (tenth graders) = 176

4. Find the total number of students on the honor roll this year:

- Total students this year: 57 (new ninth graders) + 96 (new tenth graders) = 153

5. Calculate the total percentage decrease in the number of students on the honor roll:

- Total decrease: 176 (total last year) - 153 (total this year) = 23

- Percentage decrease:

Therefore, the total number of students on the honor roll decreased by approximately 13.1%.

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