Question

5. Bill is making candy bags for his nieces and nephews that are visiting. He has 45 M & Ms and 75 Reese's Pieces. If he wants to put the same number of M&Ms in each bag and the same number of Reese's Pieces in each bag, what is the greatest number of candy bags that Bill can make?

Answer 1

We have to take the GCF (Greatest Common Factor) of 45 and 75 to get our answer.

We prime factorize the numbers. Shown below:

45 = 3 * 3 * 5

and

75 = 3 * 5 * 5

The greatest number of time 3 is common is 1 time

The greatest number o time 5 is common is 1 time

So,

GCF(45, 75) = 3 x 5 = 15 bags