Algebra (I think)

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Bruce earns 1.5 times his normal hourly rate for each hour he works after 40 hours in a week. He worked 53 hours this week and earned $833. What is his normal hourly rate?

  • Algebra (I think) -

    Let x = hourly rate and
    1.5x = overtime rate.
    --------------------
    40*x + 13*1.5x = 833
    Solve for x.

  • Algebra (I think) -

    40(x)+13(1.5x)=833
    =40x+20x=833
    =60x=833
    x needs to be isolated, so divide 60 from 833
    x=833/60
    x=14

    hourly rate =$14.00
    overtime rate=1.5(14)=$21.00

  • Algebra (I think) -

    Where did you guys get the 13 from?

  • Algebra (I think) -

    53-40 = 13

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