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)
To find the number of mozzarella sticks each person ate, we need to first determine the total number of slices of pizza consumed.
We know that there were 8 people in total and each person had 5 slices of pizza. Therefore, the total number of pizza slices consumed is 8 x 5 = 40.
Since we know that there were 64 pieces of food in total, and we have accounted for 40 slices of pizza, the remaining pieces of food must be the mozzarella sticks.
To find the number of mozzarella sticks, we subtract the number of pizza slices from the total number of pieces of food: 64 - 40 = 24.
As there were 8 people, we can calculate the number of mozzarella sticks each person ate by dividing the total number of mozzarella sticks by the number of people: 24 / 8 = 3.
Therefore, each person ate 3 mozzarella sticks.
Each person ate a total of 5*8 = <<5*8=40>>40 pieces of pizza.
With 64 pieces of food in all, the friends ate 64-40 =<<64-40=24>>24 mozzarella sticks.
Each person ate 24/8 = <<24/8=3>>3 mozzarella sticks. Answer: \boxed{3}.