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Hana decides to host a tea party. She has 60 tea sandwiches and 48 scones to serve. What is the greatest number of people she can host, such that there will be no leftovers and each person will receive the same number of sandwiches and scones, respectively?

Answer :

Answer:

12

Step-by-step explanation:

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Rewritten by : Jeany

She can host the greatest amount of people will be 12, such that there are no leftovers and each person will receive the same number of sandwiches and scones, respectively.

What is the Factorization?

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original.

Given that She has 60 tea sandwiches and 48 scones to serve

We have to determine the Greatest Common Factor (GCF) between 60 and 48

We need to write 60 and 48 as the product of their prime factors,

⇒ 2 × 2 × 3 × 5.

⇒ 3 ×2 × 2 × 2 × 2.

Here the Greatest Common Factor (GCF) is 12.

Thus, she can host the greatest amount of people will be 12, such that there are no leftovers and each person will receive the same number of sandwiches and scones, respectively.

Learn more about the Factorization here:

brainly.com/question/4184435

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