Question

Martha's mom is making party bags for all of her guests. She has 24 green gum balls, and 33 blue gum balls. She wants to split them evenly between all the bags, without any leftovers, how many bags can she make?

Answer 1

She can make 3 bags

Explanation:

To know the number of bags you can make, we have to know which divider is in common between 24 and 33

To do this we have to express the number in a factored form and see the factors in common between 24 and 33

24 = 12 * 2 = 6 * 2 * 2 = 3 * 2 * 2 * 2 = 3 * 2³

33 = 3 * 11

3 * 2³

3 * 11

As we can see the common factor is 3, this means that Marta's mother can make 3 bags and distribute her rubber balls in equal parts

24/3 = 8

33/3 = 11

In each bag we will have 8 green gum balls and 11 blue gum balls