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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

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by VJesus12 » Sat Jun 05, 2021 4:14 am
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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) \(\dfrac{x}6\)

(B) \(\dfrac{x}{10}\)

(C) \(\dfrac{x}{16}\)

(D) \(\dfrac{3x}{40}\)

(E) \(\dfrac{3x}{80}\)

Answer: E

Source: GMAT Paper Tests
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Re: The cost to rent a small bus for a trip is \(x\) dollars, which is to be shared equally among the people taking the

by Brent@GMATPrepNow » Sun Jun 06, 2021 5:30 am
VJesus12 wrote: ↑
Sat Jun 05, 2021 4:14 am
 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) \(\dfrac{x}6\)

(B) \(\dfrac{x}{10}\)

(C) \(\dfrac{x}{16}\)

(D) \(\dfrac{3x}{40}\)

(E) \(\dfrac{3x}{80}\)

Answer: E

Source: GMAT Paper Tests
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: E
Brent Hanneson - Creator of GMATPrepNow.com
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