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5 December, 04:26

One month ruby worked 4 hours more than Isaac and svetlana worked 4 times as many hours as ruby. Together they worked 92 hours. Find the number of hours each person worked

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  1. 5 December, 07:36
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    Let us assume that the number of hours Issac worked = X hours

    Since Ruby worked 4 hours more than Issac, the number of hours Ruby worked = X+4 hours

    Now, Svetlana worked 4 times as much as ruby. So the number of hours Svetlana worked = 4 * (X+4)

    The total number of hours worked by all of them together is 92 hours.

    So, we frame the equation as follows:

    X + (X+4) + 4 * (X+4) = 92

    X + X + 4 + 4X + 16 = 92

    6X + 20 = 92

    6X = 72

    X = 72/6 = 12 hours

    So Issac worked for 12 hours

    Ruby worked for X+4 = 12+4 = 16 hours

    and Svetlana worked for 4 * (X+4) = 4 * (12+4) = 4*16 = 64 hours
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