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

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Re: The cost to rent a small bus for a trip is x dollars, which is to be [#permalink]
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One more method, say x = 80

When 16 people were to go, it was 5 $per person 6 people dropped off (6*5) = 30 $$These 30$$ are to be shared with the remaining 10, so per person = 3$ additional burden
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Re: The cost to rent a small bus for a trip is x dollars, which is to be [#permalink]
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One more Method:

Initial Cost = x/16

New Cost Incurred = x/10

So the cost per person to be paid extra = New Cost- Old Cost

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

Option E
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Re: The cost to rent a small bus for a trip is x dollars, which is to be [#permalink]
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Let X be 80: 80/10=8 and 80/16=5 the difference is 8-5=3
Plugin 80 for X in the answer choices the result must equal to 3 you can quickly see that E is the right answer: (3*80)/80=3
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Re: The cost to rent a small bus for a trip is x dollars, which is to be [#permalink]
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BrainLab wrote:
Let X be 80: 80/10=8 and 80/16=5 the difference is 8-5=3
Plugin 80 for X in the answer choices the result must equal to 3 you can quickly see that E is the right answer: (3*80)/80=3

TAKE LCM OF 10 AND 16 IT WILL COME OUT TO 80 ...NOW TAKE X AS 80 ....
PUT VALUES IN THE ABOVE EQUATION .. I THINK THIS IS THE SIMPLEST APPROACH

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Re: The cost to rent a small bus for a trip is x dollars, which is to be [#permalink]
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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 is to be [#permalink]
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

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

The cost per person is x/10 if 10 people share the ride. Similarly, the cost per person is x/16 if 16 people share the ride. Thus, the difference is:

x/10 - x/16 = 8x/80 - 5x/80 = 3x/80

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

]

Originally posted by BrentGMATPrepNow on 12 Sep 2017, 12:38.
Last edited by BrentGMATPrepNow on 19 Jan 2020, 13:46, edited 1 time in total.
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Re: The cost to rent a small bus for a trip is x dollars, which is to be [#permalink]
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.

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Re: The cost to rent a small bus for a trip is x dollars, which is to be [#permalink]
something does not add up , the OG has classified this Q as a hard question and here its marked as Sub 500. where is the discrepancy can somebody explain please
-Thank you

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