Question

Matteo is working two jobs, making $15 per hour at the movie theater and $18 per hour washing cars. Last week Matteo worked a total of 30 hours and earned a total of $480. Determine the amount of hours Matteo worked at the movie theater and the cash wash.

Answer 1

movie theatre = 20 hours

car wash = 10 hours

Explanation:

this would be solved using simultaneous equation

let a = hours worked in theatre

b = hours spent wash cars

15a + 18b = 480 eqn 1

a + b = 30 eqn 2

multiply eqn 2 by 15

15a + 15b = 450 eqn 3

subtract 1 from 3

3b = 30

b = 10 hours

substitute for b in eqn 2

a + 10 = 30

a = 20 hours