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)

Question

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.