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

If each person had 5 slices of pizza, the total number of slices of pizza the eight ate is 5*8 = <<8*5=40>>40 slices.

The total number of mozzarella sticks is 64-40 = <<64-40=24>>24
If there were eight people, each had 24/8 = <<24/8=3>>3 mozzarella sticks. Answer: \boxed{3}.

To find the number of mozzarella sticks each person ate, we need to subtract the total number of pizza slices from the total number of pieces of food.

The total number of pizza slices can be found by multiplying the number of people (8) by the number of pizza slices each person had (5). So, 8 * 5 = 40.

To find the number of mozzarella sticks, we subtract the number of pizza slices from the total number of pieces of food. Therefore, 64 - 40 = 24.

Since there were 8 people, we divide the number of mozzarella sticks by the number of people to find out how many each person ate. So, 24 / 8 = 3.

Hence, each person ate 3 mozzarella sticks.