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## Cost per person?

tagged by: Brent@GMATPrepNow

This topic has 3 expert replies and 1 member reply

### Top Member

Vincen Master | Next Rank: 500 Posts
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#### Cost per person?

Tue Sep 12, 2017 11:20 am
Elapsed Time: 00:00
• Lap #[LAPCOUNT] ([LAPTIME])
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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### GMAT/MBA Expert

Brent@GMATPrepNow GMAT Instructor
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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

Cheers,
Brent

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

Thanked by: Vincen
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### GMAT/MBA Expert

Scott@TargetTestPrep GMAT Instructor
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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.

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### Top Member

pannalal Junior | Next Rank: 30 Posts
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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

Cheers,
Brent
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

Thanked by: Brent@GMATPrepNow, Vincen

### GMAT/MBA Expert

Brent@GMATPrepNow GMAT Instructor
Joined
08 Dec 2008
Posted:
10761 messages
Followed by:
1212 members
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GMAT Score:
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Thu Sep 21, 2017 7:04 am
pannalal wrote:
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

_________________
Brent Hanneson – Founder of GMATPrepNow.com
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Check out the online reviews of our course
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