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A certain dealership has a total of 100 vehicles consisting

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

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New post Updated on: 20 Jul 2014, 06:17
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E

Difficulty:

  15% (low)

Question Stats:

85% (02:08) correct 15% (02:36) wrong based on 98 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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New post 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
Untitled.png [ 15.38 KiB | Viewed 1905 times ]




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

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New post 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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New post 18 Jul 2014, 01:15
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

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

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

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

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

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

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New post 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
Answer E
Re: A certain dealership has a total of 100 vehicles consisting   [#permalink] 16 Jun 2018, 18:42
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