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# Each person attending a fund raising party for a certain

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Manager
Joined: 22 Mar 2010
Posts: 60
Each person attending a fund raising party for a certain [#permalink]

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10 Jul 2010, 01:25
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Difficulty:

(N/A)

Question Stats:

75% (01:45) correct 25% (01:34) wrong based on 8 sessions

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Each person attending a fund raising party for a certain club was charged the same admission fee. How many people attended the party?

(1) If the admission fee had been 0.75$less and 100 more people had attended, the club would have received the same amount in the admission fee (2 ) If the admission fee had been 1.50$ less and 100 fewer people had attended, the club would have received the same amount in the admission fee
[Reveal] Spoiler: OA
Manager
Joined: 04 May 2010
Posts: 87
WE 1: 2 yrs - Oilfield Service

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10 Jul 2010, 01:34
Let's say there were N people and they each paid X\$. We need to find N.

1. Let's translate the words into algebra:

New amount received = (N + 100) * (X - 0.75)

We are told these two are equal quantities. Equate them

N*X = (N+100)*(X-0.75)

A glance at this should suffice to say that thought the NX term would cancel out, we cannot find N independent of the value of X.

INSUFFICIENT

2. Similar situation which works out to:

N*X = (N - 100)*(X - 1.5)

INSUFFICIENT (cannot isolate N)

Both 1 and 2

We have two independent simultaneous equations in two variables. Sufficient to find each of N and X

SUFFICIENT

Pick C.
Senior Manager
Joined: 25 Feb 2010
Posts: 461

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10 Jul 2010, 12:39
C straight forward, two variables can;t be solved from one equation...
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Re: Data Sufficiency   [#permalink] 10 Jul 2010, 12:39
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