Question

Sarah earns $20 per hour during the week and $30 per hour for overtime on the weekends. One week she earned a total of $650. She worked 5 times as many hours during the week as she did on the weekends. How many hours of overtime did she have?

Answer 1

Given:
20 per hour during the week
30 per hour overtime on the weekends
earned a total of 650.

20(5x) + 30x = 650
100x + 30x = 650
130x = 650
x = 650/130
x = 5 overtime

5x = 5(5) = 25 hours during the week.

20(25) + 30(5) = 650
500 + 150 = 650
650 = 650