Last year at a certain high school, there were 56 boys on the honor roll and 150 girls on the honor roll. This year, the number

Question

3 years ago

11

Last year at a certain high school, there were 56 boys on the honor roll and 150 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 12%. By what percentage did the total number of students on the honor roll decrease?

Mathematics

1 answer:

Nat2105 [25] · Answer 1 · 2022-04-25T04:56:53+03:00

Answer:

15.534% decrease

Step-by-step explanation:

Find the new number of boys and girls on the honor roll:

56(0.75) = 42 boys

150(0.88) = 132 girls

Find the new total number of students on the honor roll:

42 + 132 = 174

Find the percent decrease by dividing the difference in the number of students by the original number.

There were originally 206 total students on the honor roll. Find the difference:

206 - 174 = 32

Divide this by the original amount:

32/206

= 0.15534

So, the number of students on the honor roll decreased by approximately 15.534%