Gregory grossed $750 one week by working 60 hours.

Gregory grossed $750 one week by working 60 hours. His manager pays him time-and-a-half for all hours worked in excess of 30 hours. What is Gregory's regular hourly wage?

Quiz

Answer/Solution

10

Steps/Work

Denote by x the regular hourly wage.
Then 1.5x is the hourly overtime wage.
For 30 hours, Andrew received a salary of 30x.
For 60-30=30 hours, he received 30(1.5x)=45x
Total salary: 30x+45x=75x which equals $750.
75x=750 implies x=10 (he receives $10 per hour)
Answer C 10.