Question

Casey has 48 peppers and 16 yellow peppers . If he wants to put the peppers into baskets so that each basket has the same number of red and yellow peppers will be in each basket

Answer 1

3 red peppers and 1 yellow pepper in each basket.

Explanation:

We have been given that Casey has 48 peppers and 16 yellow peppers. He wants to put the peppers into baskets so that each basket has the same number of red and yellow peppers. We are asked to find the number of red and yellow papers in each basket.

To solve our given problem, we need to find greatest common factor of 48 and 16.

Prime factorization of 48 is
`2* 2* 2* 2* 3`.

Prime factorization of 16 is
`2* 2* 2* 2`.

Greatest common factor of 48 and 16 would be
`2* 2* 2* 2=16`.

Therefore, Casey can make 16 baskets with same number of red and yellow peppers.

Now we will divide 48 and 16 by 16 to find number of red peppers and yellow peppers in each basket respectively.

`\text{Red peppers in each baseket}=(48)/(16)=3`

`\text{Red peppers in each baseket}=(16)/(16)=1`

Therefore, there will be 3 red peppers and 1 yellow pepper in each basket.