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?
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
Fundraising Fees
This topic has expert replies
GMAT/MBA Expert
-
Anju@Gurome
- GMAT Instructor
- Posts: 511
- Joined: Wed Aug 11, 2010 9:47 am
- Location: Delhi, India
- Thanked: 344 times
- Followed by:86 members
Say, the admission fee was $F and N people attended the party.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.
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
Quant Expert, Gurome
Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.
§ GMAT with Gurome § Admissions with Gurome § Career Advising with Gurome §
Quant Expert, Gurome
Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.
§ GMAT with Gurome § Admissions with Gurome § Career Advising with Gurome §
-
hemant_rajput
- Master | Next Rank: 500 Posts
- Posts: 447
- Joined: Sun Apr 22, 2012 7:13 am
- Thanked: 46 times
- Followed by:13 members
- GMAT Score:700
shouldn't it be like this ?Anju@Gurome wrote:
Statement 1: (F + 0.75)(N + 100) = FN
(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.
GMAT/MBA Expert
-
Anju@Gurome
- GMAT Instructor
- Posts: 511
- Joined: Wed Aug 11, 2010 9:47 am
- Location: Delhi, India
- Thanked: 344 times
- Followed by:86 members
Yes. I made a typing mistake.hemant_rajput wrote:shouldn't it be like this ?
(F - 0.75)(N + 100) = FN
Edited my reply.
Anju Agarwal
Quant Expert, Gurome
Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.
§ GMAT with Gurome § Admissions with Gurome § Career Advising with Gurome §
Quant Expert, Gurome
Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.
§ GMAT with Gurome § Admissions with Gurome § Career Advising with Gurome §
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
but for some other questions, two equations are the same and the answer is E.
becareful
looking for the girl living in Bradford UK, visiting Halong bay, Vietnam on 26- 27 Jan 2014. all persons, pls, forward this message to all persons you know to help me find her: my email: [email protected], call: 84904812758
