SOLUTION: A worker times 1 1/2 times the regular wage for overtime. In one week the workers total income was $625 for 35 hours of regular work plus 10 hours of overtime. What is the regular

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Question 1083535: A worker times 1 1/2 times the regular wage for overtime. In one week the workers total income was $625 for 35 hours of regular work plus 10 hours of overtime. What is the regular hourly wage? I have stated that x=regular hourly wage and also the following:
625=35x+10(3/2)x
625=35x+16x
625=51x
And then the answer I keep getting doesn't match the answer in my text book, which is $12.50
Please help asap. Thanks!

Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
Should be
625=35x+15x
625/50=x
x=$12.50

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

A worker times 1 1/2 times the regular wage for overtime. In one week the workers total income was $625 for 35 hours of regular work plus 10 hours of overtime. What is the regular hourly wage? I have stated that x=regular hourly wage and also the following:
625=35x+10(3/2)x
625=35x+16x
625=51x
And then the answer I keep getting doesn't match the answer in my text book, which is $12.50
Please help asap. Thanks!
625=35x+10(3/2)x  <======== You're correct up to this point
625=35x+16x This is WRONG! DOES NOT GIVE you 16x, but 15x, instead. This is your ERROR!
Obviously, everything else after this will BE INCORRECT.
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