Let's break down the problem step-by-step.
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Total number of people: Ethan and his 7 friends mean there are 8 people total.
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Total pieces of food: There are 64 pieces of food.
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Slices of pizza each person had: Each person had 5 slices of pizza. So, for 8 people: \[ \text{Total slices of pizza} = 8 \times 5 = 40 \text{ slices} \]
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Finding the number of mozzarella sticks: Since there are a total of 64 pieces of food and 40 of those pieces are slices of pizza, we can find the number of mozzarella sticks by subtracting the amount of pizza from the total amount of food: \[ \text{Number of mozzarella sticks} = 64 - 40 = 24 \text{ sticks} \]
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Finding the number of mozzarella sticks each person ate: To find out how many mozzarella sticks each person ate: \[ \text{Number of mozzarella sticks per person} = \frac{24}{8} = 3 \text{ sticks per person} \]
Thus, each person ate 3 mozzarella sticks.