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

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24 Oct 2009, 17:11

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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 of trucks, and 2/3 of the trucks are pickups, how many pickups, in terms of n, are parked in the lot?

I decided to use 100 for the total of trucks + cars. So n = 100. Number of cars = 1/4 # of trucks, then there are 25 cars and 75 trucks 2/3 of the trucks are pickups, so 2/3 of 75 is 50.

Therefore, the number of pickups (50) in terms of n would be (1/2)n, which equals 100 * 1/2 = 50, the number of pickups. = C

However, this is not the correct answer- the correct answer is D, 8/15. Can someone explain???

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 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

not sure about the ans.

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

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

not sure about the ans.

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
_________________

Can anyone help me in resolving this problem? I know it is simple. But I'm missing a small step somewhere.....

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) 1n/6 (B) 5n/12 (C) 1n/2 (D) 8n/15 (E) 11n/12

Can anyone help me in resolving this problem? I know it is simple. But I'm missing a small step somewhere.....

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) 1n/6 (B) 5n/12 (C) 1n/2 (D) 8n/15 (E) 11n/12

Lets consider the number of trucks = x Hence, total number of cars is = x/4 from the question we know, x+x/4 = n = > x = 4n/5 Number of trucks that are pickups = (2/3)4n/5 = 8n/15. D is the answer.

Cheers!
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Re: A total of n trucks and cars are parked in a lot. If the num [#permalink]

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28 May 2014, 06:43

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cronkey7 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?

I decided to use 100 for the total of trucks + cars. So n = 100. Number of cars = 1/4 # of trucks, then there are 25 cars and 75 trucks 2/3 of the trucks are pickups, so 2/3 of 75 is 50.

Therefore, the number of pickups (50) in terms of n would be (1/2)n, which equals 100 * 1/2 = 50, the number of pickups. = C

However, this is not the correct answer- the correct answer is D, 8/15. Can someone explain???

C = Cars, T = Trucks, and P = Pickups.

\(C + T = n\)

\(C = \frac{1}{4} T\) \(\frac{2}{3}T = P\)

We'd like to write everything in terms of Pickups, since that's what the question is asking us about. Thus,

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: A total of n trucks and cars are parked in a lot. If the num [#permalink]

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21 Dec 2015, 09:03

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This is all variables in answer choices question. So lets pick smart numbers. Let n=15 {why 15? Since cars=1/4*trucks, total trucks+cars should be divisible by 5 (1+4). Additionally since we have another fraction 2/3 to work with, the total should be divisible by 3} n=15 cars+trucks= 15 cars+4*cars = 15 -> cars=3 so trucks=12 pick-up trucks = 12*2/3 = 8 Now plug 15 in answer choices. Only D gives 8. Ans D
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