Last year at a certain high school, there were 145 boys on the honor roll and 60 girls on the honor roll. This year, the number of boys on the honor roll decreased by 20% and the number of girls on the honor roll decreased by 25%. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary).

Question

Quinten

Mathematics

14 August, 21:34

Last year at a certain high school, there were 145 boys on the honor roll and 60 girls on the honor roll. This year, the number of boys on the honor roll decreased by 20% and the number of girls on the honor roll decreased by 25%. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary).

+5

Answers (2)

Know the Answer?

Aiyana Alvarez · Answer 1

45 percent

Step-by-step explanation:

Add the two total percents together

Jaydan Levy · Answer 2

Answer: 21.5%

Step-by-step explanation: there were 145 boys on the honor role and 60 girls equally given a total number of 205. This year, the number of boys decreased by 20% = 0.2*145=29

145-29=116

116 is this year number of boys on honor role

For girls.

=0.25*60=15

60-15=45

45 is this year number of girls on honor role.

Total number of students on honor role this year is 116+45 = 161

Percentage of decrease = 1 - (161/205) * 100% = (1-0.785) * 100

= 0.215*100

= 21.5%