Question

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

Answer 1

System of Equations

3x + 1.5y = 18..... Equation 1

x = 3y ... Equation 2

This is not viable

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