Question

aron lei is making identical balloon arrangements for a party. He has 32 maroon balloons and 24 white balloons, he wants each arrangements to have the same number of each color. what is tha greatest number of arrangements that he can make if every balloon is used?​

Answer 1

The greatest number of arrangements that he can make if every balloon is used is 8.

Explanation:

The greatest number of arrangements will be the greatest common factor between 24 and 32.

GCF of 24 and 32:

We keep factoring both numbers by prime factors, while they can both be divided by the same number. So

24 - 32|2

12 - 16|2

6 - 8|2

3 - 4

There is no factor for which we can divide both 3 and 4. So the GCF is 2*2*2 = 8.

This means that the greatest number of arrangements that he can make if every balloon is used is 8.