Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 24 Oct 2009
Posts: 6

A total of n trucks and cars are parked in a lot. If the num
[#permalink]
Show Tags
Updated on: 09 Oct 2013, 02:03
Question Stats:
75% (02:05) correct 25% (02:03) wrong based on 447 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? A. 1/6 n B. 5/12 n C. 1/2 n D. 8/15 n E. 11/12 n 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???
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by cronkey7 on 24 Oct 2009, 17:11.
Last edited by Bunuel on 09 Oct 2013, 02:03, edited 1 time in total.
Renamed the topic, edited the question and added the OA.




Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9780
Location: Pune, India

Re: A total of n trucks and cars
[#permalink]
Show Tags
06 Jan 2011, 22:30
ajit257 wrote: 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
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >




Director
Joined: 01 Apr 2008
Posts: 619
Name: Ronak Amin
Schools: IIM Lucknow (IPMX)  Class of 2014

Re: Picking numbers on algebra question Something is wrong!
[#permalink]
Show Tags
25 Oct 2009, 02:20
n = t+c. c=1/4 *t so the total number of vehicles in terms of t is n=5/4 *t Now, 2/3 * t are pickups
Q asks: 2/3 * t = n * F ( F is the required fraction ) 2/3 * t = 5/4 * F => F = 8/15.



Manager
Joined: 28 Aug 2010
Posts: 149

A total of n trucks and cars
[#permalink]
Show Tags
05 Jan 2011, 18:19
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.



Current Student
Joined: 23 May 2013
Posts: 183
Location: United States
Concentration: Technology, Healthcare
GPA: 3.5

Re: A total of n trucks and cars are parked in a lot. If the num
[#permalink]
Show Tags
28 May 2014, 06:43
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? A. 1/6 n B. 5/12 n C. 1/2 n D. 8/15 n E. 11/12 n 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, \(T = \frac{3}{2}P\), \(C = \frac{1}{4}T = \frac{1}{4} * \frac{3}{2} P = \frac{3}{8}P\) Therefore, \(n = C + T = \frac{3}{8} P + \frac{3}{2} P = \frac{30}{16}P = \frac{15}{8}P.\) Solving for P, we see that \(P = \frac{8}{15} n.\) Answer: D



Retired Moderator
Joined: 02 Sep 2010
Posts: 722
Location: London

Re: A total of n trucks and cars
[#permalink]
Show Tags
06 Jan 2011, 00:31
ajit257 wrote: 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 Answer is (d)
_________________



Senior Manager
Joined: 11 May 2011
Posts: 290

Re: Quants  FDP  Plz help on this
[#permalink]
Show Tags
17 Sep 2012, 20:57
SreeViji wrote: Hi, 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! 



Retired Moderator
Joined: 29 Oct 2013
Posts: 248
Concentration: Finance
GPA: 3.7
WE: Corporate Finance (Retail Banking)

Re: A total of n trucks and cars are parked in a lot. If the num
[#permalink]
Show Tags
21 Dec 2015, 09:03
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 pickup 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/myjourneyto46onverbal750overall171722.html#p1367876



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8375
Location: United States (CA)

Re: A total of n trucks and cars are parked in a lot. If the num
[#permalink]
Show Tags
22 Oct 2017, 16:54
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?
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
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button.



Intern
Status: Sophomore
Affiliations: President of Student Associoation
Joined: 09 Dec 2010
Posts: 32
Schools: HBS 2+2, IESE YTP

Re: A total of n trucks and cars
[#permalink]
Show Tags
05 Jan 2011, 18:23
D. x+x/4=n => x=4n/5 => 2x/3=8n/15



Manager
Joined: 26 Feb 2012
Posts: 88
Location: India
Concentration: General Management, Finance
WE: Engineering (Telecommunications)

Re: A total of n trucks and cars are parked in a lot. If the num
[#permalink]
Show Tags
21 Mar 2014, 07:36
Lets say Total truck is 12. So car is 3. Now pickups are =2/3rd of 12= 8 so total fraction is 8/15 ..ans



VP
Joined: 07 Dec 2014
Posts: 1222

A total of n trucks and cars are parked in a lot. If the num
[#permalink]
Show Tags
25 Mar 2016, 12:26
let t=number of trucks n=t+(t/4)=5t/4 let p=number of pickups t=3p/2 substituting, n=5(3p/2)/4 p=8/15 n



Manager
Joined: 30 Apr 2013
Posts: 75

Re: A total of n trucks and cars are parked in a lot. If the num
[#permalink]
Show Tags
18 Oct 2017, 09:17
Number of trucks = x Number of cars = 1/4x
Therefore, x +1/4x = n ( Total number of vehicles parked) X= 4n/5
We are given 2/3 of x are pick up trucks. So 2/3 *4n/5 = 8/15n



Director
Affiliations: IIT Dhanbad
Joined: 13 Mar 2017
Posts: 733
Location: India
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, 11:43
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? A. 1/6 n B. 5/12 n C. 1/2 n D. 8/15 n E. 11/12 n 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??? t+c = n c = t/4 t+t/4 = n t = 4/5 n c = 2/3 t = 2/3 * 4/5 = 8/15 n Answer D
_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler UPSC Aspirants : Get my app UPSC Important News Reader from Play store. MBA Social Network : WebMaggu
Appreciate by Clicking +1 Kudos ( Lets be more generous friends.) What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".



Intern
Joined: 20 Aug 2018
Posts: 1

Re: A total of n trucks and cars are parked in a lot. If the num
[#permalink]
Show Tags
20 Aug 2018, 04:30
Thanks for sharing



NonHuman User
Joined: 09 Sep 2013
Posts: 13585

Re: A total of n trucks and cars are parked in a lot. If the num
[#permalink]
Show Tags
25 Aug 2019, 07:13
Hello from the GMAT Club BumpBot! 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.
_________________




Re: A total of n trucks and cars are parked in a lot. If the num
[#permalink]
25 Aug 2019, 07:13






