SOLUTION: if Lucy earns $300 for her first 40 hours of work in a week and then is paid one-and-one-half times her regular rate for any additional hours, how many hours must she work to make

Question 626285: if Lucy earns $300 for her first 40 hours of work in a week and then is paid one-and-one-half times her regular rate for any additional hours, how many hours must she work to make $345 in a week?
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
300/40=7.50 is the hourly rate.
300+(1.5*7.50)x=345
300+(11.25)x=345
11.25x=345-300
11.25x=45
x=45/11.25
x=4 hours of overtime is needed to get the $345.
Proof:
300+11.25*4=345
300+45=345
345=345
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