Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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

Show Tags

24 Oct 2009, 16:11

1

This post received KUDOS

8

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

25% (medium)

Question Stats:

76% (01:39) correct 24% (01:32) wrong based on 410 sessions

HideShow timer Statistics

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

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!
_________________

----------------------------------------------------------------------------------------- What you do TODAY is important because you're exchanging a day of your life for it! -----------------------------------------------------------------------------------------

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

Show Tags

28 May 2014, 05:43

1

This post received KUDOS

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,

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

Show Tags

21 Dec 2015, 08:03

1

This post received KUDOS

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
_________________

Please contact me for super inexpensive quality private tutoring

My journey V46 and 750 -> http://gmatclub.com/forum/my-journey-to-46-on-verbal-750overall-171722.html#p1367876

Concentration: General Management, Entrepreneurship

GPA: 3.8

WE: Engineering (Energy and Utilities)

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

Show Tags

18 Oct 2017, 10:43

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???

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

We can let the number of cars = c and number of trucks = t; thus:

c + t = n

and

c = (1/4)t

Thus:

(1/4)t + t = n

t + 4t = 4n

5t = 4n

t = 4n/5

Since 2/3 of the trucks are pickups, there are (2/3)(4n/5) = 8n/15 pickups in the parking lot.

Answer: D
_________________

Scott Woodbury-Stewart Founder and CEO

GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions