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Carla volunteered to make pies for a bake sale. She bought two pounds of apples and six pounds of peaches and spent $19. After baking the pies, she decided they looked so good she would make more. She went back to the store and bought another pound of apples and five more pounds of peaches and spent $15. What are the costs per pound of apples and peaches?

Respuesta :

absor201

Per pound cost of apples is $1.25 and peaches is $2.75

Step-by-step explanation:

Let,

Apples = x

Peaches = y

According to given statement;

2x+6y=19    Eqn 1

x+5y=15      Eqn 2

[tex]Multiplying\ Eqn\ 2\ by\ 2\\2(x+5y=15)\\2x+10y=30 \ \ \ Eqn\ 3\\Subtracting\ Eqn\ 1\ from\ Eqn\ 3\\(2x+10y)-(2x+6y)=30-19\\2x+10y-2x-6y=11\\4y=11\\Dividing\ both\ sides\ by\ 4\\\frac{4y}{4}=\frac{11}{4}\\y=2.75\\Putting\ value\ of\ y\ in\ Eqn\ 1\\2x+6(2.75)=19\\2x+16.5=19\\2x=19-16.5\\2x=2.5\\Dividing\ both\ sides\ by\ 2\\\frac{2x}{2}=\frac{2.5}{2}\\x=1.25[/tex]

Per pound cost of apples is $1.25 and peaches is $2.75

Keywords: Linear equations, Subtraction

Learn more about linear equations at:

  • brainly.com/question/4354581
  • brainly.com/question/4361464

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