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

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Intern
Joined: 10 Oct 2008
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A total of n trucks and cars are parked in a lot. If the [#permalink]  10 Oct 2008, 11:44
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. 1/6 n
B. 5/12 n
C. 1/2 n
D. 8/15 n
E. 11/12 n
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Re: trucks and cars [#permalink]  10 Oct 2008, 13:19

n = total
t = truck
c = car
p = pickup

n = t + c

c= (1/4)t, so substibute c with (1/4)t above, n = t + (1/4)t = (5/4)t

(2/3)t = p, or t = (3/2)p, so substitute t with (3/2)p above, n = (5/4)(3/2)p

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

Pickup is (8/15)n
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Re: trucks and cars [#permalink]  10 Oct 2008, 13:23
D

Cars : Trucks
1 : 4
x : 4x

x+4x = n -> 5x = n -> x = n/5

Trucks = 4n/5
Pickups = 2/3*4n/5 = 8n/15
Re: trucks and cars   [#permalink] 10 Oct 2008, 13:23
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