Respuesta :
Answer:
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
Melanie gave her mother a bouquet of 24 flowers which has three kinds of flowers
The number of roses in the bouquet = 4
The number of carnations in the bouquet = 12
The number of daises in the bouquet = 8
Melanie gave her mother a bouquet of 24 flowers.
The bouquet was made up of roses, carnations, and daisies.
Let there be x roses
Let there be y carnations
Let there be z daises in the bouquet
So the total number of flowers in the bouquet is given by equation (1)
[tex]\rm x +y + z = 24........(1)[/tex]
There were twice as many daisies as roses.
So
[tex]\rm z =2x ....(2)[/tex]
Also , There were three times as many carnations as roses
[tex]\rm y = 3x ........(3)[/tex]
From equations (1) , (2) (3) we get
[tex]\rm z \; and \; y \; from \; (2)\; and \; (3)\; in\; (1) \; we\; get \\x + 2x +3x = 24\\6x = 24\\x= 24/6\\x = 4[/tex]
So
The number of roses in the bouquet = 4
The number of carnations in the bouquet = 12
The number of daises in the bouquet = 8
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https://brainly.com/question/13911928
