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

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Question 536566: 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?
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) About Me  (Show Source):
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"If Lucy earns $300 for her first 40 hours of work", then she earns 300/40 = 7.50 dollars an hour.



Because she "is paid one-and-one-half times her regular rate for any additional hours", this means that her overtime pay per hour is 1.5*7.5 = 11.25 dollars an hour.

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Now let x = number of overtime hours worked


Since she has already earned $300, and wants to earn $345, this means we get the equation 300%2B11.25x=345

Now solve for x


300%2B11.25x=345


11.25x=345-300


11.25x=45


x=45%2F11.25


x=4


So the amount of overtime needed is 4 hours


This then means that she must work a total of 44 hours (40 regular hours + 4 overtime hours) to earn $345


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Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Divide 300 by 40 to get the normal hourly rate. Multiply the normal hourly rate by 1.5 to get the overtime rate. Divide the overtime pay (345 minus 300) to determine the number of overtime hours. Add the number of overtime hours to 40 to get the total number of hours.

John

My calculator said it, I believe it, that settles it
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