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GMAT Prep - Population

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Source: — Data Sufficiency |

Answer

by gmat_nov_2008 » Sun Sep 07, 2008 7:27 pm
From the question

Total Amount Received = nx, n - number of people, x - Admission Fee

From (1)
(x-0.75)(n+100) = nx

From (2)
(x+1.5)(n-100) = nx

Solving them both would give you n. Therefore C is the correct answer.
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by rosh26 » Mon Sep 08, 2008 7:59 am
Do you get n=100???
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by ramlakhavan » Mon Sep 08, 2008 9:38 am
i m getting n = 300
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by rosh26 » Mon Sep 08, 2008 4:03 pm
Can experts help??
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by sumithshah » Mon Sep 08, 2008 8:03 pm
Why do you care what N is - its a waste of time to find it
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by rosh26 » Tue Sep 09, 2008 6:25 am
I am trying to figure out if I set up my equation properly
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by canuckclint » Thu Sep 11, 2008 10:09 pm
From (1)
(x-0.75)(n+100) = nx

From (2)
(x+1.5)(n-100) = nx


When you multiply one out you get

1. nx + 100x - .75n + 100(.75) = nx
Subtract nx from both sides
3. 100x - .75n + 100(.75) = 0

Similarly for 2.
4. -100x + 1.5n - 100(1.5) = 0

Add resulting equations 3 & 4.


You get 0.75n + 100(.75 -1.5) = 0
.75n = .75 (100)
n = 100

Math Minor
Comp Sci Major
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