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Math Help - Help me, i'm an idiot! Simple math problem.

  1. #1
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    Help me, i'm an idiot! Simple math problem.

    figure this problem out for me, it's driving me mental.

    A house cost 5646 for a week to rent. 10 guys are coming for 7 days, 10 guys are coming for 4 days. How much does each person have to pay??

    Cheers.
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  2. #2
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    If you let X = a week
    Then the guys coming for 4 days are coming for 4/7X weeks

    Then Total days the guys spend is

    10X + 10(4/7)X = 5646

    Solving for X we get X=359.3 which is cost per guy who is staying a week

    The guys who are staying for 4 days stay for 4/7X which is 4/7(359.29)= 205.3

    Checking answer.

    10 guys at 359.3 = 3593
    10 guys at 205.3 = 2053
    Add these together and you get the total cost to be 5646 as we had in the question.
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  3. #3
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    the guys staying for 7 days together spend a total ot 70 days
    the guys staying for 4 days together spend a total of 40 days

    Total days spent in house is 110

    Cost per day spent in house is 5646/110 = 51.33

    So guys who stay for 7 days costs 51.33 * 7 = 359.3
    and the guys who stay for 4 days 51.33*4 = 205.3

    As Above
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