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# A total of n trucks and cars

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Joined: 28 Aug 2010
Posts: 267
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Kudos [?]: 74 [1] , given: 11

A total of n trucks and cars [#permalink]  05 Jan 2011, 17:19
1
KUDOS
00:00

Difficulty:

5% (low)

Question Stats:

71% (02:10) correct 29% (00:33) wrong based on 21 sessions
A total of n trucks and cars are parked in a slot. 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 slot?

A. 1/6 n
B. 5/12 n
C. 1/2 n
D. 8/15 n
E. 11/12 n

[Reveal] Spoiler: OA

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Kudos [?]: 0 [0], given: 11

Re: A total of n trucks and cars [#permalink]  05 Jan 2011, 17:23
D.
x+x/4=n => x=4n/5 => 2x/3=8n/15
Retired Moderator
Joined: 02 Sep 2010
Posts: 807
Location: London
Followers: 77

Kudos [?]: 465 [0], given: 25

Re: A total of n trucks and cars [#permalink]  05 Jan 2011, 23:31
ajit257 wrote:
A total of n trucks and cars are parked in a slot. 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 slot?

A. 1/6 n
B. 5/12 n
C. 1/2 n
D. 8/15 n
E. 11/12 n

Let there be c cars and t trucks and p pickup trucks
n = t+c
t=4c
So n = 5c
(2/3)t = p
p = (2/3)t = (2/3)(4c) = (8/3)c = (8/3)(n/5) = (8/15)n

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Kudos [?]: 4771 [2] , given: 163

Re: A total of n trucks and cars [#permalink]  06 Jan 2011, 21:30
2
KUDOS
Expert's post
ajit257 wrote:
A total of n trucks and cars are parked in a slot. 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 slot?

A. 1/6 n
B. 5/12 n
C. 1/2 n
D. 8/15 n
E. 11/12 n

Try and use ratios where possible. They make your life very easy.

No of cars : No of trucks = 1:4 (Since for every 4 trucks, there is 1 car)
So total cars and trucks (n) in ratio terms = 1+4 = 5
Now out of 4 trucks, 2/3 are pickup (p) i.e. 4*2/3 = 8/3 are pick up.
So p/n = (8/3)/5 or p = 8/15 n
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Re: A total of n trucks and cars   [#permalink] 06 Jan 2011, 21:30
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