Answer:
5 and she will have 4/5 remaining.
Explanation:
If you multiply the 5 slices per pizza by 4 pizza's you would be able to feed 20 students. Since her goal is to make sure EACH student gets 1/5 of a pizza she would need to order another one. So she needs to purchase 5 pizzas and would have 4 slices remaining.
(She could always eat those by herself or give them to me lol)
Hope that helps and have a great day!