Math
posted by Max on .
How do I solve this question?
"Rory Gilmore earns $20 per hour during the week and $30 per hour for overtime on the weekends. One week Rory earned a total of $650. She worked 5 times as many hours during the week as she did on the weekend. Write and solve an equation or system of equations to determine how many hours of overtime Rory worked on the weekend."
So far I got 20X+30Y=650. I know that X=25 and Y=5 but I cant show my work to show how I got that answer. Anyone know how I can solve this algebraically to get my answer?

x = Overtime hrs
30x = Overtime wages
5x = Regular hrs
20(5x) = Regular wages
30x + 20(5x) = 650
30x + 100x = 650
130x = 650
x = 5 overtime hours
30 * 5 = $150 OT pay
20 * 25 = $500 Reg pay
Total 30 hrs = $650