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Manager
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A total of n trucks and cars are parked in the lot. If the [#permalink]
 20 Sep 2006, 16:05
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, 16:06, edited 1 time in total.
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Director
Joined: 23 Jun 2005
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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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Senior Manager
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Yup , something wrong with the question here. Did you miss one of the answer options like "None of the above", 
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Manager
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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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VP
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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 
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Manager
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You guys are right, I missed a very important piece of information. 
I have just edited the post.
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Senior Manager
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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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Manager
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This post received
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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
_________________
Who is John Galt?
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SVP
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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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Senior Manager
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My Mistake 
You are right , it should be 2/3*4/5 N = 8N/15
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Director
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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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Manager
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Good job guys.
The answer is D.
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Manager
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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.
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