Maths problem solving?

Five brothers, Abe, Brian, Cal, Doug, and Edwin, bought a car for $42,000. Abe paid one third of the sum of the amounts paid by the other brothers. Brian paid one quarter of the sum of the amounts paid by the other brothers. Cal paid one fifth of the sum of the amounts paid by the other brothers. Doug paid one sixth of the sum of the amounts paid by the other brothers. How much did Edwin pay?

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  • TomV
    Lv 7
    7 months ago
    Favorite Answer

    Given: A + B + C + D + E = 42000

    A = 42000 - (B+C+D+E)

    = 42000 - 3A

    4A = 42000

    A = 42000/4

    B = 42000 - (A+C+D+E)

    = 42000 - 4B

    5B = 42000

    B = 42000/5

    Similarly

    C = 42000/6

    D = 42000/7

    E = 42000(1 - 1/7 - 1/6 - 1/5 - 1/4)

    = 42000(840 - 120 - 140 - 168 - 210)/840

    = 42000(202/840)

    = 10100

    Ans: Edwin paid $10100

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