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## Cost per person?

tagged by: Brent@GMATPrepNow

This topic has 4 expert replies and 1 member reply

### Top Member

Vincen Legendary Member
Joined
07 Sep 2017
Posted:
550 messages
6

#### Cost per person?

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?

### GMAT/MBA Expert

Jeff@TargetTestPrep GMAT Instructor
Joined
09 Apr 2015
Posted:
753 messages
Followed by:
11 members
39
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

_________________
Jeffrey Miller Head of GMAT Instruction

### GMAT/MBA Expert

Brent@GMATPrepNow GMAT Instructor
Joined
08 Dec 2008
Posted:
11278 messages
Followed by:
1225 members
5254
GMAT Score:
770
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 â€“ Founder of GMATPrepNow.com
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### GMAT/MBA Expert

Brent@GMATPrepNow GMAT Instructor
Joined
08 Dec 2008
Posted:
11278 messages
Followed by:
1225 members
5254
GMAT Score:
770
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

_________________
Brent Hanneson â€“ Founder of GMATPrepNow.com
Use our video course along with

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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### GMAT/MBA Expert

Scott@TargetTestPrep GMAT Instructor
Joined
25 Apr 2015
Posted:
781 messages
Followed by:
3 members
43
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.

_________________
Scott Woodbury-Stewart Founder and CEO

pannalal Junior | Next Rank: 30 Posts
Joined
20 Sep 2017
Posted:
22 messages
2
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

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