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29 May, 13:42

Judy worked 8 hours and Ben worked 10 hours. Their combined pay was $80. When Judy worked 9 hours and Ben worked 5 hours, their combined pay was $65. Find the hourly rate of pay for each person

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  1. 29 May, 14:04
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    Judy = $5/hr

    Ben = $4/hr

    Step-by-step explanation:

    Judy's hours at work - x

    Ben's hours at work - y

    8x + 10y = 80

    9x + 5y = 65

    Given these two equations above, we get:

    10y = 80 - 8x, which means y = 8 - 0.8x.

    Substitute y in the second equation with 8 - 0.8x, so we have:

    9x + 5 (8 - 0.8x) = 65

    9x + 40 - 4x = 65

    5x = 25

    x = 5

    Come back to the first equation, substitute x:

    8*5 + 10y = 80

    10y = 80 - 40

    y = 4
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