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In a certain school, 3/5 of the students are boys and the rest are girls. Of the boys, 1/4 play soccer. If the number of

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by Gmat_mission » Thu Nov 19, 2020 9:16 am

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In a certain school, 3/5 of the students are boys and the rest are girls. Of the boys, 1/4 play soccer. If the number of girls who play soccer equals the number of boys who play soccer, what fraction of the girls play soccer?

A. 1/10

B. 3/20

C. 1/4

D. 1/3

E. 3/8

Answer: E

Source: Princeton Review
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Re: In a certain school, 3/5 of the students are boys and the rest are girls. Of the boys, 1/4 play soccer. If the numbe

by Scott@TargetTestPrep » Sat Nov 28, 2020 11:02 am
Gmat_mission wrote: ↑
Thu Nov 19, 2020 9:16 am
 In a certain school, 3/5 of the students are boys and the rest are girls. Of the boys, 1/4 play soccer. If the number of girls who play soccer equals the number of boys who play soccer, what fraction of the girls play soccer?

A. 1/10

B. 3/20

C. 1/4

D. 1/3

E. 3/8

Answer: E

Solution:

Let’s let t = the total number of students at the school. Thus, 3t/5 students are boys, and 2t/5 students are girls.

We are given that 1/4 of the boys play soccer, so we have (1/4)(3t/5) = 3t/20 is the number of boys who play soccer. We are also given that the number of girls who play soccer is equal to the number of boys who play soccer, so the number of girls who play soccer is also 3t/20.

Thus, the fraction of girls who play soccer is (3t/20) / (2t/5) = 15/40 = 3/8.

Answer: E

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