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

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New post 03 Mar 2014, 01:28
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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

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Question: 124
Category: Algebra Applied problems
Page: 77
Difficulty: 600


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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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New post Updated on: 08 Aug 2014, 03:08
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Answer = (E) \(\frac{3x}{80}\)

When 16 people are decided to go, cost per person \(= \frac{x}{16}\) .............. (1)

However, after this, only 10 people go. So cost of 6 has to be shared between them.

From (1)..... cost for 6 people \(= 6 * \frac{x}{16}\)

\(\frac{6x}{16}\) has to be shared among the remaining 10, so \(\frac{6x}{(16*10)}\)

Answer \(= \frac{3x}{80}\)
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Originally posted by PareshGmat on 03 Mar 2014, 02:53.
Last edited by PareshGmat on 08 Aug 2014, 03:08, 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]

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New post 03 Mar 2014, 01:28
SOLUTION

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

For 16 people, the cost per person = x/16;
For 10 people, the cost per person = x/10;

The difference = x/10 - x/16 = 3x/80.

Answer: 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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New post 03 Mar 2014, 02:58
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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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New post 04 Mar 2014, 03:21
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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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New post 11 Jun 2014, 14:52
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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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New post 12 Sep 2015, 13:19
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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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New post 16 Jan 2016, 07:38
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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]

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New post 29 Aug 2017, 17:18
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

Answer: 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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New post 12 Sep 2017, 12:38
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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

Answer:

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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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New post 15 Sep 2017, 10:18
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 is to be  [#permalink]

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