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Paula and Sandy were among those people who sold raffle

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Paula and Sandy were among those people who sold raffle [#permalink] New post 06 Dec 2012, 06:06
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Question Stats:

58% (01:52) correct 41% (00:45) wrong based on 134 sessions
Paula and Sandy were among those people who sold raffle tickets to raise money for Club X. If Paula and Sandy sold a total of 100 of the tickets, how many of
the tickets did Paula sell?

(1) Sandy sold 2/3 as many of the raffle tickets as Paula did.
(2) Sandy sold 8 percent of all the raffle tickets sold for Club X.
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Re: Paula and Sandy were among those people who sold raffle [#permalink] New post 06 Dec 2012, 06:10
Expert's post
Paula and Sandy were among those people who sold raffle tickets to raise money for Club X. If Paula and Sandy sold a total of 100 of the tickets, how many of the tickets did Paula sell?

Given that p+s=100, where p and s are the number of tickets sold by Paula and Sandy, respectively.

(1) Sandy sold 2/3 as many of the raffle tickets as Paula did --> s=\frac{2}{3}p. We have two distinct linear equations with two unknowns (p+s=100 and s=\frac{2}{3}p), thus we can solve for both of them. Sufficient.

(2) Sandy sold 8 percent of all the raffle tickets sold for Club X --> we don't know the total number of the raffle tickets sold, thus we cannot find s, which means that we cannot find p. Not sufficient.

Answer: A.
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Re: Paula and Sandy were among those people who sold raffle   [#permalink] 06 Dec 2012, 06:10
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Paula and Sandy were among those people who sold raffle

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