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Cost per person = (TOTAL cost)/(number of people)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.
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.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
Please change the following lines:Brent@GMATPrepNow wrote:Cost per person = (TOTAL cost)/(number of people)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 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
Good catch - thanks!!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
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: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
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