Question

The school colors are blue and white. Elizabeth had 84 blue balloons and 96 white balloons. How many balloons bouquets can she make if she wants the same number of each color in each bouquet and use all of her balloons

If she wants the same number of each color in each bouquet and use all of her balloons, she can make 12 balloon bouquets.

With 7 blue balloons per bouquet and 8 white balloons per bouquet.

Step-by-step explanation:

The school colors are blue and white. Elizabeth had 84 blue balloons and 96 white balloons.

We solve this using GCF Method

The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Then the greatest common factor is 12.

Therefore, If she wants the same number of each color in each bouquet and use all of her balloons, she can make 12 balloon bouquets.

The number of blue balloons in each bouquet =

84/12

= 7 blue balloons per bouquet

The number of white balloons in each bouquet =

96/12

= 8 white balloons per bouquet