Paula and Sandy were among those people who sold raffle : GMAT Data Sufficiency (DS)
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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]

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06 Dec 2012, 06:06
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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.
[Reveal] Spoiler: OA
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Re: Paula and Sandy were among those people who sold raffle [#permalink]

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06 Dec 2012, 06:10
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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.

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Re: Paula and Sandy were among those people who sold raffle [#permalink]

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17 May 2014, 07:33
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Bunuel wrote:
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.

I believe the key premise for statement 2 is that there could be others as well who sold tickets for Club X. Right ?
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Re: Paula and Sandy were among those people who sold raffle [#permalink]

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17 May 2014, 07:45
himanshujovi wrote:
Bunuel wrote:
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.

I believe the key premise for statement 2 is that there could be others as well who sold tickets for Club X. Right ?

Yes, we are directly told that there in fact ARE some other people selling tickets: "Paula and Sandy were among those people who sold tickets".
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Re: Paula and Sandy were among those people who sold raffle [#permalink]

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19 Aug 2015, 20:03
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Re: Paula and Sandy were among those people who sold raffle [#permalink]

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15 Jan 2017, 00:51
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Paula and Sandy were among those people who sold raffle   [#permalink] 15 Jan 2017, 00:51
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