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A certain car rental agency rented 25 vehicles yesterday

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A certain car rental agency rented 25 vehicles yesterday [#permalink] New post 15 Sep 2012, 20:24
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

77% (01:43) correct 22% (00:52) wrong based on 22 sessions
A certain car rental agency rented 25 vehicles yesterday, each of which was either a compact car or a luxury car. How many compact cars did the agency rent yesterday?

(1) The daily rental rate for a luxury car was $15 higher than the rate for a compact car.
(2) The total rental rates for luxury cars was $105 higher than the total rental rates for compact cars yesterday



But shouldn't the answer be C?- the daily rental on luxury car is $15 more than compact and total rental for luxury cars was $105 more than compact. Therefore, luxury cars=7 and compact cars=18.
[Reveal] Spoiler: OA

Last edited by Bunuel on 17 Sep 2012, 07:09, edited 1 time in total.
Edited the question.
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Re: A certain car rental agency rented 25 vehicles yesterday [#permalink] New post 15 Sep 2012, 20:47
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Let C = Compact car nos & L = Luxury car nos
From Q stem : C+L = 25.
St 1: Insufficient: Let x be the rate/day for compact cars. So Cx + L (x+15) = ??
St 2: Insufficient: Let x & Y are rates. Ly = Cx + 105 (Dont know x & y)
St 1 + St 2: L(x+15) = Cx + 105....too many variables..for 2 equation.
Hence Answer E.
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Re: A certain car rental agency rented 25 vehicles yesterday [#permalink] New post 15 Apr 2014, 11:45
We have that C+L = 25, they are asking us to find C

Statement 1

C = R
L = R+15, when 'r' stands for rate

Clearly insufficient

Statement 2

C=T
L=T+15 , where 't' stands for total

Insufficient again

Both together we have that (25-c)(r+15) - cr = 105

We have two variables and only one equation, therefore clearly insufficient

E is the correct answer choice
Cheers!
J :)
Re: A certain car rental agency rented 25 vehicles yesterday   [#permalink] 15 Apr 2014, 11:45
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