Question

Larissa is considering two summer jobs. A job at the mall pays $400 per week plus $15 for every hour of overtime. A job at the movie theater pays $360 per week plus $20 for every hour of overtime. How many hours of overtime would Larissa have to work in order for the job at the movie theater to pay a higher salary than the job at the mall?

Answer 1

Solve using system of equations!
Let y=total amount of money and x=hours of overtime.
mall: y=400+15x
movies: y=360+20x
Solve! Set the equations equal to each other to find x.
400+15x=360+20x
40=5x
x=8
After 8 hours of overtime the movies would pay her more.