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
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}.
To find the number of mozzarella sticks each person ate, we first need to determine the total number of pizza slices eaten.
Since each person had 5 slices of pizza, Ethan and his 7 friends together ate 8 x 5 = 40 slices of pizza.
Now, to find the remaining number of food pieces that are mozzarella sticks, we subtract the number of pizza slices from the total number of food pieces: 64 - 40 = 24.
Since there were 8 people in total, we divide the remaining 24 mozzarella sticks equally among them: 24 / 8 = 3.
Therefore, each person ate 3 mozzarella sticks.
To find the number of mozzarella sticks each person ate, we need to first find the total number of pizzas eaten. Since there were 8 people and each person had 5 slices of pizza, the total number of pizza slices consumed is 8 * 5 = 40 slices.
Since there were 64 pieces of food in total and 40 of them were pizza slices, we can calculate the number of mozzarella sticks. The remaining pieces of food would be 64 - 40 = 24 mozzarella sticks.
Since there were 8 people, we can divide the total number of mozzarella sticks by 8 to find out the number of mozzarella sticks each person ate: 24 / 8 = 3.
Therefore, each person ate 3 mozzarella sticks.