Ethan had 7 of his friends over. He ordered cheese pizzas and mozzarella sticks for the 8 of them. In all, there were 64 pieces of food. If each person had 5 slices of pizza, find the number of mozzarella sticks each person ate.

Each person ate____mozzarella sticks

1 answer

We can find the total number of pizza slices by multiplying the number of friends by the number of slices each person had, so 7 friends * 5 slices/friend = <<7*5=35>>35 pizza slices.
The total number of mozzarella sticks eaten is the total number of pieces of food minus the number of pizza slices, so 64 pieces - 35 slices = <<64-35=29>>29 mozzarella sticks.
Since each person ate the same number of mozzarella sticks, each person ate 29 sticks / 8 people = <<29/8=3.625>>3.625 mozzarella sticks.
However, we can't have a fraction of a mozzarella stick, so each person ate 3 mozzarella sticks. Answer: \boxed{3}.