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.(1 point)
Each person ate __ mozzarella sticks.
Since each person had 5 slices of pizza, and there were 8 people, there were a total of 5*8 = <<5*8=40>>40 slices of pizza eaten.
If there were 64 pieces of food in all, and 40 slices were of pizza, then there were 64-40 = 24 mozzarella sticks eaten.
Therefore, each person ate 24/8 = <<24/8=3>>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 consumed.
Ethan had 7 friends over, making a total of 8 people including himself. Each person had 5 slices of pizza, so the total number of pizza slices is found by multiplying the number of people by the number of pizza slices per person: 8 x 5 = 40 slices.
Since there were a total of 64 pieces of food and 40 pizza slices, we can subtract the pizza slices from the total to find the number of mozzarella sticks eaten: 64 - 40 = 24.
Therefore, the number of mozzarella sticks each person ate is obtained by dividing the total number of mozzarella sticks by the number of people: 24 / 8 = 3.
Each person ate 3 mozzarella sticks.