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?

Answers: At most, Josh can invite 7 friends to the party. If he invites that many friends, each will receive 6 granola bars and 8 fruit drinks.

At most, Josh can invite 42 friends to the party. If he invites that many friends, each will receive 1 granola bars and 2 fruit drinks.

At most, Josh can invite 28 friends to the party. If he invites that many friends, each will receive 1 granola bars and 3 fruit drinks.

At most, Josh can invite 14 friends to the party. If he invites that many friends, each will receive 3 granola bars and 4 fruit drinks.

Answer 1

At most, Josh can invite 14 friends to the party. If he invites that many friends, each will receive 3 granola bars and 4 fruit drinks.

Explanation:

The GCF is 42 and 56 is:

42 = 2 × 3 × 7

56 = 2³ × 7

GCF = 2 × 7 = 14

42/14 = 3

56/14 = 4

Answer:

At most, Josh can invite 14 friends to the party. If he invites that many friends, each will receive 3 granola bars and 4 fruit drinks.