Question

Last year at a certain high school, there were 100 boys on the honor roll and 50 girls on the honor roll. This year, the number of boys on the honor roll increased by 20% and the number of girls on the honor roll increased by 18%. 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 number of boys on the honor roll increased by 20%, that makes 100*20% = 20 boys more than the previous year. Then, this year there are 100 + 20 = 120 boys.

The number of girls on the honor roll increased by 18%, that makes 50*18% = 9 girls more than the previous year. Then, this year there are 50 + 9 = 59 girls.

Total number of students: 120 + 59 = 179

That is 179 - 150 = 29 students more than the previous year. This represents an increase of 29/150*100 = 19.3%