# 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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