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29 October, 00:27

One month ruby worked 8 hours more than Issac, and Shetland worked 4 times as many hours as ruby. Together they worked 136 hours. Find the number of hours each person worked.

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  1. 29 October, 01:50
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    R=number of hours ruby worked

    i=number of hours issac worked

    s=number of hours shetland worked

    ruby worked 8 more than issac

    r=8+i

    shetland worked 4 times as many as ruby

    s=4r

    total they worked 136

    r+i+s=136

    so

    we gots

    r=8+i

    s=4r

    for r=8+i

    solve for i

    minus 8 both sides

    r-8=i

    so

    r+i+s=136

    subsitute r-8 for i and 4r for s

    r+r-8+4r=136

    6r-8=136

    add 8 to both sides

    6r=144

    divide both sides by 6

    r=24

    sub back

    r-8=i

    24-8=i

    16=i

    s=4r

    s=4 (24)

    s=96

    ruby worked 24 hours

    issac worked 16 hours

    shetland worked 96 hours
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