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5 July, 06:25

One month, Ruby worked 4 hours more than Isaac, and Svetlana worked 4 times as many hours as Ruby. Together they worked 104 hours. Find the number of hours each person worked.

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  1. 5 July, 07:21
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    Let Isaac = x

    Ruby = x + 4

    Svetlana = 4 (x + 4)

    Together they worked 104 hours, so ...

    x + x + 4 + 4 (x + 4) = 104

    x + x + 4 + 4x + 16 = 104

    6x + 20 = 104

    6x = 84

    x = 84/6 = 14

    Isaac worked x = 14 hours

    Ruby worked x + 4 = 18 hours

    Svetlana worked 4 (x + 4) = 4*18 = 72 hours

    Check your answers ...

    72 + 18 + 14 = 104

    104 = 104 it checks!
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