math problem help

Question

JoAnn works in a publicity office at the state university. She is paid $11.00$11.00 an hour for the first 3535 hours she works each week and $16.50$16.50 an hour for every hour after that. If she makes $599.50$599.50 one week, how many hours did she work?

Answer 1

11 per hour

35 hours per week. 16.5 for more than 35 per week

599.5 = 11(35)+ 16.5x

16.5x = 599.5 - 385 = 214.5

x = 214.5/16.5 = 13 hours over time. She worked 35+13= 48 hours that week