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:
76% (02:05) correct 24% (02:01) wrong based on 453 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: 8391
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 >
GMAT selfstudy has never been more personalized or more fun. Try ORION Free!




Director
Joined: 01 Apr 2008
Posts: 791
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: 186

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.



Intern
Status: Sophomore
Affiliations: President of Student Associoation
Joined: 09 Dec 2010
Posts: 35
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



Retired Moderator
Joined: 02 Sep 2010
Posts: 769
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)
_________________
Math writeups 1) Algebra101 2) Sequences 3) Set combinatorics 4) 3D geometry
My GMAT story
GMAT Club Premium Membership  big benefits and savings



Senior Manager
Joined: 11 May 2011
Posts: 334

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! 



Manager
Joined: 26 Feb 2012
Posts: 102
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



Current Student
Joined: 23 May 2013
Posts: 188
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: 29 Oct 2013
Posts: 266
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



VP
Joined: 07 Dec 2014
Posts: 1104

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: 84

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
Joined: 13 Mar 2017
Posts: 622
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 99th percentiler : VA 97.27  DILR 96.84  QA 98.04  OA 98.95 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".



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3864
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
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



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




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






