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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Gmat_mission: Legendary Member; Posts: 1622; Joined: Thu Mar 01, 2018 7:22 am; Followed by:2 members

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

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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Source: Beat The GMAT — Problem Solving | Thu Nov 19, 2020 9:16 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

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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