Question

than 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.

Answer 1

Let's denote the number of pizzas ordered as \( p \) and the number of mozzarella sticks as \( m \).

First, let's figure out how many slices of pizza there are:

Each pizza has 8 slices. Therefore, the total number of pizza slices from \( p \) pizzas is:
\[
8p
\]

The total pieces of food (pizza slices + mozzarella sticks) is given as 64:
\[
8p + m = 64
\]

Now, since there are 8 people and each ate 5 slices of pizza, the total number of pizza slices consumed is:
\[
8 \times 5 = 40
\]

Since 40 slices were eaten, we can write:
\[
8p = 40
\]
From this, we can solve for \( p \):
\[
p = \frac{40}{8} = 5
\]

Now that we know there were 5 pizzas, we can find the number of mozzarella sticks \( m \) using the first equation:
\[
8p + m = 64
\]
Substituting \( p = 5 \):
\[
8(5) + m = 64
\]
\[
40 + m = 64
\]

Now, solve for \( m \):
\[
m = 64 - 40 = 24
\]

Now, we need to find out how many mozzarella sticks each person had. There were 8 people in total, so each person had:
\[
\frac{m}{8} = \frac{24}{8} = 3
\]

Thus, each person ate **3 mozzarella sticks**.