Juan is buying flowers for his mother. He has $18 to spend and sees that roses are $3 each and camations are $1.50 each. He wants to buy 3 times as many camations as roses and spend all of his money on Towers. Write a Ssystem of equations that models this situation. Is there a viable solution that meets Juan's conditions? Explain. 14 points)

 System of equations to model the situation is there a viable solution that means Joannes condition explain

System of Equations

3x + 1.5y = 18 Equation 1

x = 3y ... Equation 2

This is not viable

Step-by-step explanation:

Let us represent

Number of roses = x

Number of camations = y

Juan is buying flowers for his mother. He has $18 to spend and sees that roses are $3 each and camations are $1.50 each.

$3 × x + $1.50 × y = $18

3x + 1.5y = 18 Equation 1

He wants to buy 3 times as many camations as roses

y = 3x Equation 2

Therefore:

System of Equations

3x + 1.5y = 18 Equation 1

x = 3y ... Equation 2

This is not viable

i need the options

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have