Math word problem

Question

 

I need help finding out how to solve this problem.

 

Last year, Bob worked 2041.49 regular hours at $10 per-hour, and 52.38 overtime hours at $15 per-hour. Additionally, Bob earned a commission of $18,208.12. What was Bob’s regular rate-of-pay, and overtime rate last year? In other words, if Bob works the same amount of hours this year, but does't earn a commission, what would Bob's hourly rate need to be, in order to equal the same amount of pay he received last year? I need to know the math problem that will solve this.

Answer 1

2041.49(10) = 20414.90  regular

52.38(15)     =    785.70  overtime

                     +18208.12  commission

                    ----------------

Total earned:  $39408.72

 

We want to work the same hours and make the same

amount of money but without making a commission.

 

Note:  In overtime Bob makes 1.5 times as much as

he does for regular hours.

 

2041.49x + 52.38(1.5x) =  $39408.72

 

Solve this for x to find out the rate of pay for

regular hours.  Then the overtime rate is

1.5 times that rate.