GMAT Club Forumhttps://gmatclub.com:443/forum/ Paula and Sandy were among those people who sold rafflehttps://gmatclub.com/forum/paula-and-sandy-were-among-those-people-who-sold-raffle-143692.html Page 1 of 1

 Author: Walkabout [ 06 Dec 2012, 06:06 ] Post subject: Paula and Sandy were among those people who sold raffle 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 ofthe 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.

 Author: Bunuel [ 06 Dec 2012, 06:10 ] Post subject: Re: Paula and Sandy were among those people who sold raffle 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.

 Author: himanshujovi [ 17 May 2014, 07:33 ] Post subject: Re: Paula and Sandy were among those people who sold raffle 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.Answer: A.I believe the key premise for statement 2 is that there could be others as well who sold tickets for Club X. Right ?

 Author: Bunuel [ 17 May 2014, 07:45 ] Post subject: Re: Paula and Sandy were among those people who sold raffle 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.Answer: A.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".

 Author: BrentGMATPrepNow [ 17 Sep 2017, 07:45 ] Post subject: Re: Paula and Sandy were among those people who sold raffle Walkabout 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 ofthe 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.Target question: How many of the tickets did Paula sell? Given: Paula and Sandy sold a total of 100 of the tickets Let x = number of tickets that Paula soldThis means 100-x = number of tickets that Sandy sold Statement 1: Sandy sold 2/3 as many of the raffle tickets as Paula did. We can write: (# of tickets Sandy sold) = (2/3)(# of tickets Paula sold) Or... 100-x = (2/3)xEliminate the fractions by multiplying both sides by 3 to get: 300 - 3x = 2xASIDE: At this point, we should recognize that we CAN solve this equation for x, which means we CAN answer the target question with certainty. But for "fun" let's finish the math...Add 3x to both sides to get: 300 = 5xSolve: x = 60In other words, Paula sold 60 ticketsSince we can answer the target question with certainty, statement 1 is SUFFICIENT Statement 2: Sandy sold 8 percent of all the raffle tickets sold for Club X. We don't know how many tickets were sold for Club X. All we know is that Paula and Sandy sold a total of 100 tickets. Since we don't know how many tickets were sold for Club X, we can't determine the number of tickets Sandy sold. If we can't determine the number of tickets Sandy sold, then we can't determine the number of tickets Paula sold. Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENTAnswer: RELATED VIDEO FROM OUR COURSE

 Author: PK32 [ 18 Sep 2017, 10:13 ] Post subject: Re: Paula and Sandy were among those people who sold raffle By Using statement 1 we can make a equation2/3 * p+p=100 (Where "P" is the number of tickets sold by Paula)Solving the equation we can get p=60In statement 2 we do not know total number of tickets sold for club XSo the Answer is A

 Author: bumpbot [ 13 Jun 2022, 21:02 ] Post subject: Re: Paula and Sandy were among those people who sold raffle 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).Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

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