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Overlapping Sets

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by swerve » Sat Feb 01, 2020 2:17 pm
On Thursday night, 120 college students are drinking beer at a local bar. Each student drinks either light beer or dark beer. One-third of the students are female, and one-fifth of the students drink dark beer. If 10 of the students are male and drink dark beer, how many female students drink light beer?

A. 14
B. 26
C. 40
D. 70
E. 96

The OA is B

Source: Princeton Review
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Re: Overlapping Sets

by Pyunika » Tue Feb 04, 2020 12:53 am
Attached is the image for the solution
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Re: Overlapping Sets

by Scott@TargetTestPrep » Sat Feb 08, 2020 7:20 pm
swerve wrote: ↑
Sat Feb 01, 2020 2:17 pm
 On Thursday night, 120 college students are drinking beer at a local bar. Each student drinks either light beer or dark beer. One-third of the students are female, and one-fifth of the students drink dark beer. If 10 of the students are male and drink dark beer, how many female students drink light beer?

A. 14
B. 26
C. 40
D. 70
E. 96

The OA is B

Source: Princeton Review
We see that there are 1/3 x 120 = 40 female students and 1/5 x 120 = 24 students drink dark beer.

Since 10 male students drink dark beer, 14 female students drink dark beer.

Thus, 40 - 14 = 26 female students drink light beer.

Answer: B

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