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

any options?

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is