Question

Last year at a certain high school, there were 120 boys on the honor roll and 125 girls on the honor roll. This year, the number of boys on the honor roll increased by 15%

and the number of girls on the honor roll increased by 24%. 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

The total number of students on the honor roll increased by approximately 19.6%.

Step-by-step explanation:

To find the percentage increase in the total number of students on the honor roll, we first need to calculate the number of boys and girls on the honor roll this year.

For boys: 15% increase means (15/100) * 120 = 18 more boys on the honor roll. So, the total number of boys on the honor roll this year is 120 + 18 = 138.

For girls: 24% increase means (24/100) * 125 = 30 more girls on the honor roll. So, the total number of girls on the honor roll this year is 125 + 30 = 155.

The total number of students on the honor roll this year is 138 (boys) + 155 (girls) = 293.

To find the percentage increase, we calculate the difference between the total number of students on the honor roll this year and last year: 293 - 245 = 48.

Finally, we divide this difference by the total number of students on the honor roll last year (245) and multiply by 100 to get the percentage increase: (48/245) * 100 = 19.6%.

Therefore, the total number of students on the honor roll increased by approximately 19.6%.