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The florist charges $31.75 for eight roses and five carnations. For one rose and three carnations, it cost $5.75. What is the cost for a carnation?

Respuesta :

absor201

Cost for a carnation is $0.75

Step-by-step explanation:

Let,

Rose = x

Carnation = y

According to given statement;

8x+5y=31.75   Eqn 1

x+3y=5.75   Eqn 2

[tex]Multiplying\ Eqn\ 2\ by\ 8\\8(x+3y=5.75)\\8x+24y=46 \ \ \ Eqn\ 3\\Subtracting\ Eqn\ 1\ from\ Eqn\ 3\\(8x+24y)-(8x+5y)=46-31.75\\8x+24y-8x-5y=14.25\\19y=14.25\\Dividing\ both\ sides\ by\ 19\\\frac{19y}{19}=\frac{14.25}{19}\\y=0.75[/tex]

Cost for a carnation is $0.75

Keywords: Linear equations, Addition

Learn more about linear equations at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

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