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 pizzas find the number of mozzarella sticks each person ate

Answer 1

Let's break down the problem step by step.

1. Total People: Ethan and his 7 friends make 8 people in total.
2. Food Pieces: There are 64 pieces of food in total (this includes both pizza slices and mozzarella sticks).
3. Pizza Consumption: Each person had 5 slices of pizza.

First, we calculate the total number of pizza slices consumed by all 8 people:

\[ Total\ number\ of\ pizza\ slices = 8\ people \times 5\ slices\ per\ person = 40\ slices \]

Next, we can find the number of mozzarella sticks:

\[ Number\ of\ mozzarella\ sticks = Total\ pieces\ of\ food - Total\ number\ of\ pizza\ slices \] \[ Number\ of\ mozzarella\ sticks = 64\ pieces - 40\ slices = 24\ mozzarella\ sticks \]

Now, to find out how many mozzarella sticks each person ate:

\[ Number\ of\ mozzarella\ sticks\ per\ person = \frac{Total\ number\ of\ mozzarella\ sticks}{Total\ number\ of\ people} \] \[ Number\ of\ mozzarella\ sticks\ per\ person = \frac{24\ mozzarella\ sticks}{8\ people} = 3\ mozzarella\ sticks\ per\ person \]

Thus, each person ate 3 mozzarella sticks.