To determine the maximum amount of time Lisa can work each week, we need to subtract the time spent on homework, classes, and sleep from the total number of hours in one week.
The time spent on homework is 21 hours.
The time spent in class is 4 hours twice a week, so 4*2 = 8 hours.
The time spent sleeping is 8 hours per night, so 8*7 = 56 hours.
Therefore, the total time spent on homework, classes, and sleep is 21 + 8 + 56 = 85 hours.
To determine the maximum amount of time Lisa can work, we subtract 85 from the total number of hours in one week: 168 - 85 = <<168-85=83>>83 hours.
Therefore, Lisa can work a maximum of 83 hours each week.
The inequality representing this situation is:
Work hours ≤ Total hours - (Homework hours + Class hours + Sleep hours)
Let x be the number of work hours.
x ≤ 168 - (21 + 8 + 56)
x ≤ 168 - 85
x ≤ 83
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 once 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. Show your work
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