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

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Manager
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A total of n trucks and cars are parked in the lot. If the [#permalink] New post 20 Sep 2006, 15:05
A total of n trucks and cars are parked in the 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. 1/6n
B. 5/12n
C. 1/2n
D. 8/15n
E. 11/12n

Please show your work.

Last edited by positive soul on 21 Sep 2006, 15:06, edited 1 time in total.
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Re: Cars & Trucks [#permalink] New post 20 Sep 2006, 19:57
positive soul wrote:
A total of n trucks are parked in the 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. 1/6n
B. 5/12n
C. 1/2n
D. 8/15n
E. 11/12n

Please show your work.

Is the wording right? The way I see it, total no. of trucks = n. 2/3rds are pick ups, so no of pickups = 2n/3
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 [#permalink] New post 20 Sep 2006, 20:09
Yup , something wrong with the question here. Did you miss one of the answer options like "None of the above", :?
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Re: Cars & Trucks [#permalink] New post 20 Sep 2006, 20:16
positive soul wrote:
A total of n trucks are parked in the 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. 1/6n
B. 5/12n
C. 1/2n
D. 8/15n
E. 11/12n

Please show your work.


Do you mean 2/3 of the cars are pick-ups?
In that case, the answer is A =n/6

Else isnt the answer is 2n/3 ?
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 [#permalink] New post 21 Sep 2006, 03:31
A total of n trucks are parked in the 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?

IF the question is worded correctly (which I don't think is), answer has to be (2/3)N. Easiest Ps I every solved! LOL :-D
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 [#permalink] New post 21 Sep 2006, 15:07
You guys are right, I missed a very important piece of information. :oops:
I have just edited the post.
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 [#permalink] New post 21 Sep 2006, 15:21
Answer C n/2

Total N Cars and Trucks
Cars n/4
Trucks 3n/4

Pickups = 2/3* 3n/4= n/2
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 [#permalink] New post 21 Sep 2006, 15:26
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D: 8/15

T+C=n
C=(1/4)T
PU=(2/3)T

T(1+1/4)=(5/4)T=n --> T=(4/5)n

PU=(2/3)(4/5)n=(8/15)n
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 [#permalink] New post 21 Sep 2006, 16:17
A total of n trucks and cars are parked in the 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. 1/6n
B. 5/12n
C. 1/2n
D. 8/15n
E. 11/12n

T+C = N

C = T/4 THUS N = 5/4 T THUS T = 4/5N


2/3 T = PICK UPS IN TERMS OF N

2/3*4/5 = 8/15N MY ANSWER IS D
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 [#permalink] New post 21 Sep 2006, 16:27
My Mistake :wall

You are right , it should be 2/3*4/5 N = 8N/15
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 [#permalink] New post 21 Sep 2006, 17:34
D, as most of you have already deduced

t+c=n
t+1/4t=n
t=4/5n

p=2t/3
=2*4n/3*5
= 8n/15
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 [#permalink] New post 21 Sep 2006, 17:46
Good job guys.

The answer is D.
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 [#permalink] New post 22 Sep 2006, 00:45
D.

Attacked this one by plugging in numbers. Chose 60 for trucks, which yields 15 cars and 75 total cars & trucks (n), and 40 pickups. Divide 40/75, reduces to 8/15.
  [#permalink] 22 Sep 2006, 00:45
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