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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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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] New post 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.

Answer: A.
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Re: Paula and Sandy were among those people who sold raffle [#permalink] New post 17 May 2014, 07:33
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 ?
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Re: Paula and Sandy were among those people who sold raffle [#permalink] New post 17 May 2014, 07:45
Expert's post
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".
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Paula and Sandy were among those people who sold raffle   [#permalink] 17 May 2014, 07:45
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Paula and Sandy were among those people who sold raffle

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