Question

Cheap Car Shop charges $77 for parts and $31 per hour of labor for a repair job. Best Repair in Town charges a flat fee of $150 for the same job. Write a system of equations to represent the situation.

Answer 1

Let's call x the number of hours spent on the job.

Cheap car shop charges a total (we'll call it T) equal to 77+31x.

Best Repair in Town charges 150.

The sistem is:

T=77+31x

T=150

Solving it you can find the number of hours x that would take Cheap Car Shop to do the job and have a pay equal to the one of Best Repair in town. Under x, Cheap car shop is more convenient, over x, Best Repair in town is more convenient.