Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 07 Jul 2015, 08:45

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Each person attending a fund raising event was charged the

Author Message
TAGS:
Manager
Joined: 13 Dec 2005
Posts: 64
Followers: 1

Kudos [?]: 5 [0], given: 0

Each person attending a fund raising event was charged the [#permalink]  19 Dec 2005, 19:18
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Each person attending a fund raising event was charged the same admission fee. How many people attended the fund raising event?

(1) If the admission fee had been $.75 less and 100 more people had attended, they would have received the same amount in revenue. (2) If the admission fee had been$1.50 more and 100 less people had attended, they would have received the same amount in revenue.

A) Statement 1 sufficient...
B) Statement 2 sufficient...
C) Both statements together...
D) Each statement alone
E) Neither statement ...

The book answer is C. How can the math for this be done? It seems like you've got three variables here with only 2 equations...

Jim
Senior Manager
Joined: 05 Oct 2005
Posts: 485
Followers: 1

Kudos [?]: 2 [0], given: 0

Re: DS [#permalink]  19 Dec 2005, 19:33
ellisje22 wrote:
Each person attending a fund raising event was charged the same admission fee. How many people attended the fund raising event?

(1) If the admission fee had been $.75 less and 100 more people had attended, they would have received the same amount in revenue. (2) If the admission fee had been$1.50 more and 100 less people had attended, they would have received the same amount in revenue.

A) Statement 1 sufficient...
B) Statement 2 sufficient...
C) Both statements together...
D) Each statement alone
E) Neither statement ...

The book answer is C. How can the math for this be done? It seems like you've got three variables here with only 2 equations...

Jim

You need 3 equations to yield the value of 3 variables.
n = number of people
f = fee per person
r = total revenue

Stem tells u:
fn = r

1) gives:
(f-.75)(n+100) = r

2) gives:
(f+1.50)(n-100) = r

This gives us 3 distinct equations, so 1) and 2) together are sufficient.
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5068
Location: Singapore
Followers: 23

Kudos [?]: 195 [0], given: 0

Assume initial is initial addmission fee is x and the number of people who attended is y.

(1) (x-0.75) (y+100) = xy. We do not know x and y, so this statement is not sufficient.

(2) (x+1.5) (y-100) = xy. Same argument as (1); this statement is not sufficient.

Using both, we can solve for x and y and so the answer is C.
Senior Manager
Joined: 14 Apr 2005
Posts: 418
Location: India, Chennai
Followers: 1

Kudos [?]: 6 [0], given: 0

Re: DS [#permalink]  20 Dec 2005, 02:55
From stmt 1 we get xy = (x+100)(y-.75)
Solving we get xy = xy + 100y - .75x - 75
or .75x - 100y = -75 ---> equn 1

From stmt 2 we get xy = (x-100)(y+1.5)
solving we get xy = xy + 1.5x - 100y - 150
1.5x - 100y = 150 ---> equn 2

Solving equn 1 and equn 2 we get
.75x = 225 ==> X = 300
y = 3

Hence C.
Re: DS   [#permalink] 20 Dec 2005, 02:55
Similar topics Replies Last post
Similar
Topics:
5 Each person attending a fund-raising party for a certain clu 13 23 Sep 2010, 11:15
Each person attending a fund raising party for a certain 2 10 Jul 2010, 00:25
1 Each person attending a fund-raising party for a certain 4 07 Mar 2008, 03:15
7 Each person attending a fund-raising party for a certain clu 8 11 Dec 2007, 14:48
Display posts from previous: Sort by