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Cost per person?

This topic has 4 expert replies and 1 member reply

Cost per person?

Post 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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Post 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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Jeffrey Miller Head of GMAT Instruction

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GMAT/MBA Expert

Post 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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Brent Hanneson – Founder of GMATPrepNow.com
Use our video course along with Beat The GMAT's free 60-Day Study Guide

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GMAT/MBA Expert

Post 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

_________________
Brent Hanneson – Founder of GMATPrepNow.com
Use our video course along with Beat The GMAT's free 60-Day Study Guide

Check out the online reviews of our course
Come see all of our free resources



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

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Post 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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Scott Woodbury-Stewart Founder and CEO

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pannalal Junior | Next Rank: 30 Posts Default Avatar
Joined
20 Sep 2017
Posted:
22 messages
Upvotes:
2
Post 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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  • Quote
  • Flag

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