Word problem involving billing
I am not sure how to set this problem up. Any help would be appreciated.
Sally received a bill for a total of 8 hours labor on the repair of her bulldozer. She paid $50 to the master mechanic and $90 to his apprentice. If the master mechanic gets $10 more per hour than his apprentice, then how many hours did each work on the bulldozer.
THIS IS WHAT I CAME UP WITH THUS FAR.
We write T for the number of hours the master mechanic
worked, T' for the number of hours the apprentice worked, P for the price
the master charges per hour, and P' for the price the apprentice charges
Four variables. We need four equations.
First Equation: Express the fact that the total number of hours worked is
8. (What does this have to do with T, T', P and P'? It involves only two of
Second Equation: Express the fact that the master mechanic earned $50.
Third Equation: Express the fact that the apprentice earned $90.
Fourth Equation: Express the fact that the master's pay rate exceeds the
apprentice's pay rate by $10 per hour.