Question

Last year at a certain high school, there were 144 boys on the honor roll and

75 girls on the honor roll. This year, the number of boys on the honor roll
increased by 25% and the number of girls on the honor roll increased by 16%.
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

Last year, there were 219 students on the honor roll. This year, there are 267 students on the honor roll, resulting in a 21.9% increase.

Step-by-step explanation:

To calculate the percentage increase in the total number of students on the honor roll, you need to find the difference between the total number of students last year and this year, and then divide that by the total number of students last year.

Last year, the total number of students on the honor roll was 144 (boys) + 75 (girls) = 219. This year, the number of boys on the honor roll increased by 25%, which means an increase of 0.25 * 144 = 36 boys.

The number of girls on the honor roll increased by 16%, which means an increase of 0.16 * 75 = 12 girls. So this year, the total number of students on the honor roll is 144 + 36 (boys) + 75 + 12 (girls) = 267.

The percentage increase can be calculated as (267 - 219) / 219 * 100 = 21.9% (rounded to the nearest tenth).