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Cost per person?

by Vincen » Tue Sep 12, 2017 11:20 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) x/6
(B) x/10
(C) x/16
(D) 3x/40
(E) 3x/80

The OA is E.

How can I do the calculus here?
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Cost per person?

by Brent@GMATPrepNow » Tue Sep 12, 2017 11:37 am
Vincen 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/10
(C) x/16
(D) 3x/40
(E) 3x/80

The OA is E.
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
= 3x/80

Answer: E

Cheers,
Brent
Last edited by Brent@GMATPrepNow on Thu Sep 21, 2017 7:03 am, edited 1 time in total.
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hi

by Scott@TargetTestPrep » Wed Sep 20, 2017 2:44 pm
Vincen 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/10
(C) x/16
(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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by pannalal » Thu Sep 21, 2017 5:39 am
Brent@GMATPrepNow wrote:
Vincen 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/10
(C) x/16
(D) 3x/40
(E) 3x/80

The OA is E.
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

Cheers,
Brent
Please change the following lines:
Find a common denominator of 80 to get: x/10 - x/16 = 8x/80 + 5x/80
= 13x/80

to
Find a common denominator of 80 to get: x/10 - x/16 = 8x/80 - 5x/80
= 3x/80
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by Brent@GMATPrepNow » Thu Sep 21, 2017 7:04 am
pannalal wrote: Please change the following lines:
Find a common denominator of 80 to get: x/10 - x/16 = 8x/80 + 5x/80
= 13x/80

to
Find a common denominator of 80 to get: x/10 - x/16 = 8x/80 - 5x/80
= 3x/80
Good catch - thanks!!
I have edited my post.

Cheers,
Brent
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by Jeff@TargetTestPrep » Tue Jan 02, 2018 10:10 am
Vincen 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/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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