Question

Last year at a certain high school, there were 124 boys on the honor roll and 125 girls on the honor roll. This year, the number of boys on the honor roll decreased by 25% and the number of girls on the honor roll decreased by 20%. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary).​

Answer 1

22.5%

Explanation:

Find new values:

124(1−0.25)=93

125(1−0.2)=100

Last Year: Boys 124 & Girls 125

This Year: Boys 93 & Girls 100

Total: Last Year 249 & This Year 193

249(1−r)=193

249(1−r)/249=193/249

1−r=0.7751

−r=−0.2249(Subtracted 1)

r=0.2249(Divided by -1)

Final Answer: 22.5%(Multiply by 100 and round to nearest 10th)