Lisa is taking two classes at a local community college. She sets aside 21 hours for homework a week with these two classes. The two classes are 4 hours each twice a week on Tuesday and Thursday. She wants to get a part-time job and ensure 8 hours of sleep each night. There are 168 hours in one week. How many hours can she work at most each week? Write and solve an inequality to determine the maximum amount of time she can work each week.

1 answer

Lisa spends 4 * 2 = <<4*2=8>>8 hours in class a week.
She spends 8 + 8 = <<8+8=16>>16 hours on class and homework.
She spends 7 * 8 = <<7*8=56>>56 hours sleeping each week.
Thus, Lisa only has 168 - 16 - 56 = <<168-16-56=96>>96 hours of her free time left.
That means she can work at most 96 hours each week. Answer: \boxed{96}.