Question

Elijah's Pizza sells cheese pizzas cut into 8 slices each and pepperoni pizzas cut into 4 slices each. If Elijah's Pizza sold the same number of slices of each type of pizza yesterday, what is the smallest number of slices of each type that the restaurant must have sold?

Answer 1

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Explanation:

If Elijah's Pizza sold the same number of slices of cheese and pepperoni pizzas yesterday, then the number of cheese pizza slices must be a multiple of 8, and the number of pepperoni pizza slices must be a multiple of 4.

Since 8 and 4 are both even numbers, the smallest possible multiple of 8 that is also a multiple of 4 is 16. Therefore, Elijah's Pizza must have sold at least 16 slices of cheese pizza and 16 slices of pepperoni pizza.

If Elijah's Pizza sold more than 16 slices of each type of pizza, then the number of slices would still be a multiple of 8 and a multiple of 4, but it would not be the smallest possible number of slices that meets these conditions.

I hope this helps! Let me know if you have any other questions.