Answer: 2 cakes.
Explanation:
There will be a total number of 6 people at Eli's cake party.
You want that each one of these 6 people to eat at least 1/5 of a cake.
Then you need to make, at least, 6 times 1/5 of a cake.
This is equal to:
6*(1/5) of a cake = 6/5 of a cake.
And we can rewrite this as:
(6/5) of a cake = (5 + 1)/5 of a cake = (5/5 + 1/5) of a cake = 1 cake + 1/5 of a cake.
But you can not bake only 1/5 of a cake, we need whole numbers.
Then we need to round up to the next whole number, which is 2.
This means that you need to bake at least 2 cakes.