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.

What is the correct statement for the number of granola bars and fruit drinks each friend can have at his party?

Answer 1

He can invite at most 14 friends.

If he invites 14 friends, each friend gets 3 granola bars and 4 fruit drinks.

Explanation:

We need the greatest common factor of 42 and 56.

42 = 2 × 3 × 7

56 = 2³ × 7

GCF = 2 × 7 = 14

The greatest common factor of 42 and 56 is 14.

He can invite at most 14 friends.

42/14 = 3

56/14 = 4