Stephanie needs to work 28 hour a week, but can only work 5 days a week. She can work 5 6 7 or 8 hour days. How many combinations of five add up to 28?no

Question

Stephanie needs to work 28 hour a week, but can only work 5 days a week. She can work 5, 6, 7 or 8 hour shifts. How many combinations of five add up to 28?

Answer 1

I can only find one solution, involving 4 days:

1 day at 6 hrs

2 days at 7 hrs

1 day at 8 hrs

But I don't understand why you ask for a combination of 5. 5 whats?

Does she actually have to work 5 days?

Comments

It's happened again! The question was revised about an hour after first submission, so, to be fair, you should take another shot at it, now that it makes more sense!

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Yep. Just seen your answer. Much better.

Answer 2

5-day work patterns:

(5,5,5,5,8), (5,5,5,6,7), (5,5,5,7,6), (5,5,5,8,5), (5,5,6,5,7), (5,5,6,6,6), (5,5,6,7,5), (5,5,7,5,6),

(5,5,7,6,5), (5,5,8,5,5), (5,6,5,5,7), (5,6,5,6,6), (5,6,5,7,5), (5,6,6,5,6), (5,6,6,6,5), (5,7,5,5,6),

(5,7,5,6,5), (5,7,6,5,5), (5,8,5,5,5), (6,5,5,5,7), (6,5,5,6,6), (6,5,5,7,5), (6,5,6,5,6), (6,5,6,6,5),

(6,6,5,5,6), (6,6,5,6,5), (6,6,6,5,5), (6,7,5,5,5), (7,6,5,5,5), (7,5,5,5,6), (7,5,5,6,5), (7,5,6,5,5),

(7,6,5,5,5), (8,5,5,5,5).