Question

A health club has 42 granola bars and 96 bottles of water that it can give as gifts to its members. The health club wants to give each member the same amount of each item and have nothing left over. What is the greatest number of members who can get a gift?

Answer 1

6 members

7 granolas each

16 bottles of water each

Explanation:

Granola bars = 42

Bottles of water = 96

What is the greatest number of members who can get a gift?

Find the highest common factor of 42 and 96

42: 1, 2, 3, 6, 7, 14, 21, 42.

96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.

The highest common factor of 42 and 96 is 6

Therefore,

the greatest number of members who can get a gift is 6

Granola bars = 42 / 6 = 7

Bottles of water = 96 / 6 = 16

Each of the 6 members will get 7 granolas each and 16 bottles of water each