Question

At Bayside High School, 55% of the student body are boys. Thirty-five percent of the boys are on honor roll, and 40% of girls are on honor roll. What percent of the student body is on honor roll? Round to the nearest percent

Answer 1

So,

35% of 55% is equal to the percent of boys on honor roll in the student body.

100 - 55 = 45%, which is the percent of girls in the student body.

40% of 45% is equal to the percent of girls on honor roll in the student body.

35% * 55% = 19.25%

40% * 45% = 18%

Adding them up, we get:
19.25 + 18 = 37.25%

Round it to the nearest percent.
37.25 --> 37%

Rounded to the nearest percent, 37% of the student body is on honor roll.

Answer 2

If 55% of the student body are boys, then 45% are girls.

35% of boys are on the honor roll, so 35% of 55% are on the honor roll.

40% of girls are on the honor roll, so 40% of 45% are on the honor roll.

So now we need to find each of those numbers...

35% of 55% =
.35 * .55 = .1925  multiply by 100 to convert to percent

19.25% of boys (in the student body) are on honor roll


40% of 45% =
.40 * .45 = .18   multiply by 100 to convert to percentage

18% of girls (in the student body) are on honor roll

Add the two together to get the total percentage of student body that is on the honor roll...

19.25% + 18% = 37.25%

Round to the nearest percent

37%