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Cost per person?

This topic has 3 expert replies and 1 member reply

Cost per person?

Post 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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    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

    _________________
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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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    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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    pannalal Junior | Next Rank: 30 Posts Default Avatar
    Joined
    20 Sep 2017
    Posted:
    22 messages
    Thanked:
    2 times
    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

    Thanked by: Brent@GMATPrepNow, Vincen
    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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    GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!

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