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# A total of n trucks and cars are parked in a lot. If the

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Manager
Joined: 01 Nov 2007
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A total of n trucks and cars are parked in a lot. If the [#permalink]

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18 Feb 2008, 15:43
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A total of n trucks and cars are parked in a lot. If the number of cars is
1/4 the number oftrucks, and 2/3 of the trucks are pickups, how many pickups, in terms of n, are parked in
the lot?

A n/6
B 5n/12
C n/2
D 8n/15
E 11n/12

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Senior Manager
Joined: 15 Aug 2007
Posts: 252

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Schools: Chicago Booth
Re: PS- Trucks, Cars and pickups [#permalink]

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18 Feb 2008, 16:00
D

number of trucks in terms of n is 4n/5, and 2/3rds of it is 8n/15

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SVP
Joined: 28 Dec 2005
Posts: 1545

Kudos [?]: 179 [0], given: 2

Re: PS- Trucks, Cars and pickups [#permalink]

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18 Feb 2008, 17:45
D

t+c=n
c=t/4
2/3t=p

3/2p+(3/2p)/4=n

12/8p + 3/8p =n

n=8/15p

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SVP
Joined: 29 Aug 2007
Posts: 2472

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Re: PS- Trucks, Cars and pickups [#permalink]

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18 Feb 2008, 22:25
JCLEONES wrote:
A total of n trucks and cars are parked in a lot. If the number of cars is 1/4 the number of trucks, and 2/3 of the trucks are pickups, how many pickups, in terms of n, are parked in the lot?

A n/6
B 5n/12
C n/2
D 8n/15
E 11n/12

cars = c
trucks = t
total = c+t = n

c = t/4
n = t + t/4 = 5t/4
t = 4n/5

p = 2t/3 = (2/3) (4n/5) = 8n/15

so D.
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Kudos [?]: 843 [0], given: 19

Re: PS- Trucks, Cars and pickups   [#permalink] 18 Feb 2008, 22:25
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