Question

ramiro earns $20 per hour during the week and $30 per hour for overtime on the weekends. One week Ramiro earned a total of$50. He worked 5 times as many hours during teh week as he did on the weekend. Write and solve a system of equations to determine how many hours of overtime Ramiro worked on the weekend

Answer 1

Given:
weekday = 20 per hour
weekend = 30 per hour
total earning = 650
hours in the weekend = x 
hours in the weekdays = 5x

20(5x) + 30x = 650
100x + 30x = 650
130x = 650
130x/130 = 650/130
x = 5 hours.   *hours worked on weekends.

hours work on weekdays = 5x = 5*5 = 25hrs.

to check:
20(25) + 30(5) = 650
500 + 150 = 650
650 = 650