Question

Last year at a certain high school, there were 50 boys on the honor roll and 120 girls on the honor roll. This year, the number of boys on the honor roll increased by 22% and the number of girls on the honor roll increased by 15%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

Answer 1

17.1%

Explanation:

To find the percentage increase in the total number of students on the honor roll, we need to calculate the increase in the total number of students and then express it as a percentage of the original number.

Last year:

Number of boys on the honor roll = 50

Number of girls on the honor roll = 120

This year:

Increase in the number of boys on the honor roll = 22% of 50 = 0.22 * 50 = 11

Increase in the number of girls on the honor roll = 15% of 120 = 0.15 * 120 = 18

Total number of students on the honor roll last year = 50 + 120 = 170

Total number of students on the honor roll this year = 50 + 11 + 120 + 18 = 199

To find the percentage increase:

Percentage Increase = [(Total number this year - Total number last year) / Total number last year] * 100

Percentage Increase = [(199 - 170) / 170] * 100

Percentage Increase = (29 / 170) * 100

Percentage Increase ≈ 17.1%

Therefore, the total number of students on the honor roll increased by approximately 17.1%.