Question

Toni has 36 mints and 96 jelly beans. She would like to give these candies away to as many friends as possible, but she wants each friend to receive the same number of mints and the same number of jelly beans. ​Select the numbers that correctly complete the sentence. ​The most friends that Toni can give candy to is HELP

Answer 1

12 friends

Explanation:

To find the maximum number of friends Toni can give candy to, we need to find the greatest common factor (GCF) of 36 and 96.

GCF is the largest number that divides all the given numbers exactly.

The prime factorization of 36 is
`\sf 2^2 * 3^2`, and the prime factorization of 96 is
`\sf 2^5 * 3`.

The common factors are 2² and 3.

To find the GCF, take the smallest power of each common factor:

`\sf \text{GCF}(36, 96) = 2^2 * 3 = 12`

So, The most friends that Toni can give candy to is 12 friends.