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 has 5 slices of pizza, Find the number of mozzarella sticks each person ate.

Question

Each person ate _ mozzarella sticks.

Answer 1

Let's break down the problem step by step.

1. Total number of people: Ethan and his 7 friends make a total of \( 8 \) people.

2. Total pieces of food: There are \( 64 \) pieces of food in total.

3. Pizza slices eaten: Each person eats \( 5 \) slices of pizza, so for \( 8 \) people, the total number of slices consumed is: \[ 8 \text{ people} \times 5 \text{ slices/person} = 40 \text{ slices} \]

4. Total pieces of food remaining for mozzarella sticks: Since there are \( 64 \) pieces of food in total and \( 40 \) of those are pizza slices, we can find the number of mozzarella sticks: \[ 64 \text{ total pieces} - 40 \text{ pizza slices} = 24 \text{ mozzarella sticks} \]

5. Mozzarella sticks eaten per person: To find out how many mozzarella sticks each person ate, we divide the total number of mozzarella sticks by the number of people: \[ \frac{24 \text{ mozzarella sticks}}{8 \text{ people}} = 3 \text{ mozzarella sticks/person} \]

Thus, each person ate 3 mozzarella sticks.