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# A certain dealership has a total of 100 vehicles consisting

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Intern
Joined: 11 Aug 2013
Posts: 17
Location: India
Concentration: Accounting, Finance
GMAT Date: 10-15-2014
GPA: 3.3
A certain dealership has a total of 100 vehicles consisting  [#permalink]

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Updated on: 20 Jul 2014, 06:17
6
00:00

Difficulty:

15% (low)

Question Stats:

82% (02:17) correct 18% (02:39) wrong based on 118 sessions

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A certain dealership has a total of 100 vehicles consisting of cars and trucks. If 1/2 of the cars are used, and 1/3 of the trucks are used. If there are 42 used vehicles altogether, how many trucks are there?

A. 32
B. 36
C. 40
D. 45
E. 48

Originally posted by josh227 on 15 Jul 2014, 06:44.
Last edited by Bunuel on 20 Jul 2014, 06:17, edited 3 times in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
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Re: A certain dealership has a total of 100 vehicles consisting  [#permalink]

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15 Jul 2014, 06:58
josh227 wrote:
A certain dealership has a total of 100 vehicles consisting of cars and trucks.1/2 of the cars are used and 1/3 trucks are used.If there are 42 used vehicles altogether,how many trucks are there?

Attachment:

Untitled.png [ 15.38 KiB | Viewed 2148 times ]

 ! 1) Always post the question in appropriate forum.2) Always post the question along with options and OA3) Mention the source of the question.4) Search the forum before posting any new question

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Intern
Joined: 11 Aug 2013
Posts: 17
Location: India
Concentration: Accounting, Finance
GMAT Date: 10-15-2014
GPA: 3.3
Re: A certain dealership has a total of 100 vehicles consisting  [#permalink]

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15 Jul 2014, 07:02
Narenn wrote:
josh227 wrote:
A certain dealership has a total of 100 vehicles consisting of cars and trucks.1/2 of the cars are used and 1/3 trucks are used.If there are 42 used vehicles altogether,how many trucks are there?

Attachment:
Untitled.png

Let me know if it is still unclear.

Hope that helps!!

Thanks for the reply.this is the type of answer I am looking for.It's crystal clear.
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Re: A certain dealership has a total of 100 vehicles consisting  [#permalink]

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18 Jul 2014, 01:15
1
Let trucks = t

Creating table below:

Cars .............. Trucks ................. Total

100-t ................. t .......................... 100

$$\frac{1}{2}$$ cars & $$\frac{1}{3}$$ trucks are used; which sum up to 42

Setting up the equation

$$\frac{100-t}{2} + \frac{t}{3} = 42$$

t = 48

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Re: A certain dealership has a total of 100 vehicles consisting  [#permalink]

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18 Jul 2014, 23:59
2
josh227 wrote:
A certain dealership has a total of 100 vehicles consisting of cars and trucks. If 1/2 of the cars are used, and 1/3 of the trucks are used. If there are 42 used cars altogether, how many trucks are there?

A. 32
B. 36
C. 40
D. 45
E. 48

Poor wording.. It should have been vehicle and NOT cars.
Manager
Joined: 11 Feb 2014
Posts: 65
Re: A certain dealership has a total of 100 vehicles consisting  [#permalink]

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19 Jul 2014, 17:15
1
josh227 wrote:
A certain dealership has a total of 100 vehicles consisting of cars and trucks. If 1/2 of the cars are used, and 1/3 of the trucks are used. If there are 42 used cars altogether, how many trucks are there?

A. 32
B. 36
C. 40
D. 45
E. 48

Moderators: Can we please correct the wording on this question so that people can answer correctly?
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Joined: 02 Sep 2009
Posts: 49892
Re: A certain dealership has a total of 100 vehicles consisting  [#permalink]

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20 Jul 2014, 06:18
Game wrote:
josh227 wrote:
A certain dealership has a total of 100 vehicles consisting of cars and trucks. If 1/2 of the cars are used, and 1/3 of the trucks are used. If there are 42 used cars altogether, how many trucks are there?

A. 32
B. 36
C. 40
D. 45
E. 48

Moderators: Can we please correct the wording on this question so that people can answer correctly?

_______________
Done.
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Joined: 15 Dec 2012
Posts: 15
Re: A certain dealership has a total of 100 vehicles consisting  [#permalink]

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16 Jun 2018, 18:34
C+T=100
C/2+T/3=42
by solving equation 1 and 2
T=48
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Posts: 180
Re: A certain dealership has a total of 100 vehicles consisting  [#permalink]

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16 Jun 2018, 18:42
c + t = 100
1/2 c + 1/3 t = 42
c + 2/3 t = 84
1/3 t = 16
t = 48
Re: A certain dealership has a total of 100 vehicles consisting &nbs [#permalink] 16 Jun 2018, 18:42
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