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14 March, 20:51

Two mechanics worked on a car. The first mechanic charged $65 per hour, and the second mechanic charged $105 per hour. The mechanics worked for a combined total of 35 hours, and together they charged a total of $2875. How long did each mechanic work?

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  1. 14 March, 20:58
    0
    Devide 35 from 2875!
  2. 14 March, 20:59
    0
    X=number of hours mechanic one worked

    y=number of hours of mechanic 2

    so

    65x+105y=2875 and

    x+y=35

    solve, use elimination

    multiply 2nd equation by - 65 and add to first one

    -65x-65y=-2275

    65x+105y=2875 +

    0x+40y=600

    40y=600

    divide by 40 boht sides

    y=15

    sub back

    x+y=35

    x+15=35

    x=20

    the first one worked 20 hours

    2nd one worked 15 hours
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