math

If a building contractor hires 5 day laborers and 2 concrete finishers, his payroll for the day is $1200. If he hire 1 day laborer and 4 concrete finishers, his daily cost is $924. Find the daily wage for each type of worker.

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  1. set up system of equations:

    x = wage of laborers
    y = wage of concrete finishers

    5x+2y = 1200
    x+4y = 924

    Now solve the system of equations:
    from the second equation, isolating x we get:

    x = 924 - 4y

    now plug that into the first equation:
    5(924-4y)+2y=1200
    y = 190

    now plug y back into one of the equations to find x:

    x+4(190) = 924

    x = 164

    daily wage of laborer = 164
    daily wage of concrete finishers = 190

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  2. Thanks DonHo

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