Question

josh is inviting his friends to a party. he has 42 granola bars and 56 fruit drinks, and he wants to give the same number of each item to each friend.

Answer 1

The number of maximum guests is the greatest common factor (GCF) of 42 and 56.The number is 7.Each guest gets 6 bars and 8 drinks.

Answer 2

Number of granola bars that Josh gave to each of his friend =3

Number of fruit drinks that Josh gave to each of his friend =4

Explanation:

Number of granola bars with Josh = 42

Number of fruit drinks with Josh = 56

He wants to give the same number of granola bars and fruit drinks to each friend.

To find : Number of granola bars and fruit drinks Josh give to each friend.

First, find HCF of 42 and 56 .

`42=2* 3* 7\,,\,56=2^3* 7`

Therefore, HCF ( 42, 56 ) = Highest common factor of 42 and 56 = 14

Number of granola bars that Josh gave to each of his friend = Number of granola bars with Josh / HCF ( 42, 56 )

= 42/14 = 3

Number of fruit drinks that Josh gave to each of his friend = Number of fruit drinks with Josh / HCF ( 42, 56 )

= 56/14 = 4