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A survey of high school students found that 1/2 of the female students

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A survey of high school students found that 1/2 of the female students  [#permalink]

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New post Updated on: 04 Jan 2019, 00:35
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A survey of high school students found that \(\frac{1}{2}\) of the female students searched the Internet and\(\frac{2}{3}\) of the male students searched the Internet. Furthermore, the survey found that \(\frac{1}{4}\) of the female students searched the Internet from coffee shops and\(\frac{1}{6}\)of the male students also searched the Internet from coffee shops. If equal numbers of male and female students were surveyed, then what fraction of the students who search the Internet do so from coffee shops?


A) \(\frac{1}{2}\)

B) \(\frac{3}{4}\)

C) \(\frac{5}{14}\)

D) \(\frac{7}{9}\)

E) \(\frac{11}{12}\)

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Originally posted by Abhi077 on 03 Jan 2019, 22:12.
Last edited by Bunuel on 04 Jan 2019, 00:35, edited 1 time in total.
Renamed the topic and edited the question.
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Re: A survey of high school students found that 1/2 of the female students  [#permalink]

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New post 03 Jan 2019, 23:33
Abhi077 wrote:
A survey of high school students found that \(\frac{1}{2}\) of the female students searched the Internet and\(\frac{2}{3}\) of the male students searched the Internet. Furthermore, the survey found that \(\frac{1}{4}\) of the female students searched the Internet from coffee shops and\(\frac{1}{6}\)of the male students also searched the Internet from coffee shops. If equal numbers of male and female students were surveyed, then what fraction of the students who search the Internet do so from coffee shops?

A)\(\frac{1}{2}\)
B)\(\frac{3}{4}\)
C)\(\frac{5}{14}\)
D)\(\frac{7}{9}\)
E)\(\frac{11}{12}\)


Let's say there are 60 male students surveyed and 60 female students surveyed.
30 female students searched the internet.
40 male students searched the internet.
15 female students searched from coffee shops (this is a part of 30 above "female students who search the internet)
10 male students searched from coffee shops (this is a part of 40 above "male students who search the internet)

So of the 70 (=30 + 40) students who search the internet, 25 (=15 + 10) do so from the coffee shop.
This is 25/70 = 5/14

Answer (C)
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Re: A survey of high school students found that 1/2 of the female students &nbs [#permalink] 03 Jan 2019, 23:33
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