Melanie gave her mother a bouquet of 24 flowers. The bouquet was made up of roses, carnations, and daisies. There were twice as many daisies as roses. There were three times as many carnations as roses. How many of each kind of flower was in the bouquet?

Roses = x = 4

Carnations = y = 12

Daisies = z = 8

Step-by-step explanation:

The bouquet was made up of roses, carnations, and daisies.

Let us represent:

Roses = x

Carnations = y

Daisies = z

Melanie gave her mother a bouquet of 24 flowers.

Hence,

x + y + z = 24 Equation 1

There were twice as many daisies as roses.

z = 2x

There were three times as many carnations as roses.

y = 3x

Therefore, we substitute 2x and 3x for z and y respectively in Equation 1

x + y + z = 24 Equation 1

x + 3x + 2x = 24

6x = 24

x = 24/6

x = 4 roses

Solving for y

y = 3x

y = 3 × 4

y = 12 Carnations

Solving for z

z = 2x

z = 2 × 4

z = 8 Daisies

How many of each kind of flower was in the bouquet?

Therefore,

Roses = x = 4

Carnations = y = 12

Daisies = z = 8

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

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step-by-step explanation:

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