A manager schedules employees to cover evening shifts. There are 9 shifts on Monday, 11 on Tuesday, 13 on Wednesday, 13 on Thursday, 15 on Friday, 16 on Saturday, and 12 on Sunday. If each employee can work an average of 4.5 shifts, how many employees would the manager need to cover all evening shifts for the week?

16

20

17

To find the number of employees needed to cover all evening shifts for the week, we need to calculate the total number of shifts and divide it by the average number of shifts each employee can work.

Let's calculate the total number of shifts for the week:

Total number of shifts = Number of shifts on Monday + Number of shifts on Tuesday + Number of shifts on Wednesday + Number of shifts on Thursday + Number of shifts on Friday + Number of shifts on Saturday + Number of shifts on Sunday

Total number of shifts = 9 + 11 + 13 + 13 + 15 + 16 + 12
Total number of shifts = 89

Now, let's calculate the number of employees needed:

Number of employees = Total number of shifts / Average number of shifts each employee can work

Number of employees = 89 / 4.5
Number of employees ≈ 19.78

Since we cannot have a fractional number of employees, the manager would need to hire 20 employees to cover all evening shifts for the week.