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Fundraising Fees

Expert replies
by actofman » Tue Apr 23, 2013 1:03 am
Each person attending a fund-raising party for a certain club was charged the same admission fee. How many people attended the party?
a) If the admission fee had been $0.75 less and 100 more people had attended, the club would have received the same amount in admission fees.
b) If the admission fee had been $1.50 more and 100 fewer people had attended, the club would have received the same amount in admission fees.

I thought each would be sufficient assuming X is attendees while $1.00 is sample fee. Should I be equating the 2?
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Source: — Data Sufficiency |

by Anju@Gurome » Tue Apr 23, 2013 1:20 am
actofman wrote:Each person attending a fund-raising party for a certain club was charged the same admission fee. How many people attended the party?

a) If the admission fee had been $0.75 less and 100 more people had attended, the club would have received the same amount in admission fees.
b) If the admission fee had been $1.50 more and 100 fewer people had attended, the club would have received the same amount in admission fees.
Say, the admission fee was $F and N people attended the party.
Hence, total amount of admission fee received = $FN

Statement 1: (F - 0.75)(N + 100) = FN ---> (0.75N + 100F + 75) = 0
We can't solve for N without any extra information.

Not sufficient

Statement 2: (F + 1.50)(N - 100) = FN ---> (1.5N - 100F - 150) = 0
We can't solve for N without any extra information.

Not sufficient

1 & 2 Together: Now we have two different equations in two unknowns. Hence, we can solve for both N and F.

Sufficient

The correct answer is C.
Last edited by Anju@Gurome on Tue Apr 23, 2013 9:20 am, edited 1 time in total.
Anju Agarwal
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Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.

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by hemant_rajput » Tue Apr 23, 2013 8:44 am
Anju@Gurome wrote:
Statement 1: (F + 0.75)(N + 100) = FN
shouldn't it be like this ?

(F - 0.75)(N + 100) = FN
I'm no expert, just trying to work on my skills. If I've made any mistakes please bear with me.
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by Anju@Gurome » Tue Apr 23, 2013 9:22 am
hemant_rajput wrote:shouldn't it be like this ?

(F - 0.75)(N + 100) = FN
Yes. I made a typing mistake.
Edited my reply.
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Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.

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by thang » Wed Apr 29, 2015 1:46 am
the problem is that we have to prove two equation are different, not the same. very simple, they are not the same
but for some other questions, two equations are the same and the answer is E.

becareful
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