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The cost to rent a small bus for a trip is x dollars, which

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The cost to rent a small bus for a trip is x dollars, which [#permalink]

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New post 04 Jul 2006, 08:05
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The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 16, how many more dollars, in terms of x, will it cost per person?

(A) x/6
(B) x/16
(C) x/40
(D) 3x/40
(E) 3x/80
[Reveal] Spoiler: OA

Last edited by Bunuel on 10 Jan 2014, 05:50, edited 2 times in total.
Renamed the topic, edited the question and added the OA.

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Re: ps - bus [#permalink]

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New post 04 Jul 2006, 08:31
biggamejames wrote:
11. The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 16, how many more dollars, in terms of x, will it cost per person?
(A) 6x
(B) 10x
(C) 16x
(D) 403x
(E) 803x



I solved it by plugging in numbers. But I'd like to see some one do it without plugging.


= x/10 - x/16 = 3x/80

but ACs should be:

(A) x/6
(B) x/10
(C) x/16
(D) 3x/40
(E) 3x/80

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Re: ps - bus [#permalink]

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New post 04 Jul 2006, 08:49
MA wrote:
= x/10 - x/16 = 3x/80

but ACs should be:

(A) x/6
(B) x/10
(C) x/16
(D) 3x/40
(E) 3x/80


MA - I'm glad you pointed out that the answers were not correct, I could not figure out what I had done wrong!

I solved same way --> x/10-x/16 = answer = 3x/80

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Re: ps - bus [#permalink]

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New post 04 Jul 2006, 08:56
amartin6165 wrote:
MA wrote:
= x/10 - x/16 = 3x/80

but ACs should be:

(A) x/6
(B) x/10
(C) x/16
(D) 3x/40
(E) 3x/80


MA - I'm glad you pointed out that the answers were not correct, I could not figure out what I had done wrong!

I solved same way --> x/10-x/16 = answer = 3x/80


ACs as they are donot make any sense. therefore, i guess they should be like the ones i suggested.

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 [#permalink]

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New post 04 Jul 2006, 12:09
Thanks. I fixed my post above.

The OA is E.

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New post 04 Jul 2006, 23:35
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Cost per person( total persons is 16) = x/16
Cost per person( total persons is 10) = x/10

x/10 - x/16 = 3x/80

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Re: ps - bus [#permalink]

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New post 10 Jan 2014, 05:47
biggamejames wrote:
11. The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 16, how many more dollars, in terms of x, will it cost per person?
(A) x/6
(B) x/16
(C) x/40
(D) 3x/40
(E) 3x/80


I solved it by plugging in numbers. But I'd like to see some one do it without plugging.



Choose x as a multiple of 16, I chose 64:

So for 10 people, that's 6.4 each and for 16 people it's 4 USD each... Pick one of the options that gives you 6.4 - 4 = 2.4... The answer is E.

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Re: The cost to rent a small bus for a trip is x dollars, which [#permalink]

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Re: The cost to rent a small bus for a trip is x dollars, which [#permalink]

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New post 16 Jan 2016, 06:38
Just plugging in values

X= 160
Cost per person if we consider 10 = 16
Cost per person if we consider 16 = 10
Difference between costs is 6 dollars.
Plugging in the value of x into the answer choices, let's see which one yields a result of 6. And that is E.

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Re: The cost to rent a small bus for a trip is x dollars, which [#permalink]

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New post 12 Sep 2017, 11:38
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Top Contributor
biggamejames wrote:
The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 16, how many more dollars, in terms of x, will it cost per person?

(A) x/6
(B) x/16
(C) x/40
(D) 3x/40
(E) 3x/80


Cost per person = (TOTAL cost)/(number of people)

Cost per person with 16 people
Cost per person = x/16

Cost per person with 10 people
Cost per person = x/10

How many more dollars, in terms of x, will it cost per person?
difference = x/10 - x/16 ...check the answer choices - not there.
Looks like they want us to simplify x/10 - x/16

Find a common denominator of 80 to get: x/10 - x/16 = 8x/80 + 5x/80
= 13x/80

Answer:
[Reveal] Spoiler:
E


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Re: The cost to rent a small bus for a trip is x dollars, which [#permalink]

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New post 15 Sep 2017, 09:18
biggamejames wrote:
The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 16, how many more dollars, in terms of x, will it cost per person?

(A) x/6
(B) x/16
(C) x/40
(D) 3x/40
(E) 3x/80


It will cost x/10 dollars per person when 10 people split the cost and x/16 dollars when 16 people split the cost. Thus, it will cost x/10 - x/16 = 8x/80 - 5x/80= 3x/80 dollars more when 10 people split the cost versus when 16 people do.

Answer: E
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Re: The cost to rent a small bus for a trip is x dollars, which   [#permalink] 15 Sep 2017, 09:18
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