In a group of 80 college students, how many own a car?

In a group of 80 college students, how many own a car?

(1) Of the students who do not own a car, 14 are male.
(2) Of the students who own a car, 42% are female.

[spoiler]OA=B[/spoiler]

Source: Magoosh

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by Ian Stewart » Mon Jul 01, 2019 5:56 am

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From Statement 2, 21 out of 50 car-owners are women. That's a reduced ratio, so the number of car owners must be a multiple of 50, and the only multiple of 50 less than or equal to 80 is 50 itself, so there must be 50 car owners, and Statement 2 is sufficient. Since Statement 1 only tells us we have no more than 80-14 = 66 car owners, the answer is B.

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