SOLUTION: Matt is paid $14.75 an hour. He gets paid time-and-a-half for each overtime hour he works over 40 hours a week. One week he makes $722.75 how many hours overtime did he work?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Matt is paid $14.75 an hour. He gets paid time-and-a-half for each overtime hour he works over 40 hours a week. One week he makes $722.75 how many hours overtime did he work?      Log On

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Question 1005092: Matt is paid $14.75 an hour. He gets paid time-and-a-half for each overtime hour he works over 40 hours a week. One week he makes $722.75 how many hours overtime did he work?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = total hours he worked that week
His overtimehours = +x+-+40+
His overtime pay = +1.5%2A14.75%2A%28+x+-+40+%29+
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+40%2A14.75+%2B+1.5+%2A14.75%2A%28+x-40+%29+=+722.75+
+590+%2B+22.125%2A%28+x-40+%29+=+722.75+
++22.125%2A%28+x-40+%29+=+132.75+
+x+-+40+=+6+
He worked 6 overtime hours
------------------------
check answer:
+x+-+40+=+6+
+x+=+46+
+40%2A14.75+%2B+1.5+%2A14.75%2A%28+x-40+%29+=+722.75+
+40%2A14.75+%2B+1.5+%2A14.75%2A%2846-40+%29+=+722.75+
+590+%2B+132.75+=+722.75+
+722.75+=+722.75+
OK