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Darryl and Kayla sold pies for a school fundraiser. Darryl made $38 from 2 chocolate pies and 4 apple pies. Kayla made $138 from 14 chocolate pies and 12 apple pies. How much was a chocolate pie?

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opudodennis

Answer:

$3

Step-by-step explanation:

let the cost of apple pie be [tex]x[/tex] and the cost of chocolate pie be [tex]y[/tex].

We then express the situation as:

[tex]2y+4x=38\ \ \ \ \ \ ...eqtn1\\\\14y+12x=138\ \ \ \....eqtn2[/tex]

#Make y the subject of the formula in equation 1 then substitute in 2:

[tex]2y=38-4x\\y=19-2x\\\\\therefore 14(19-2x)+12x=138\\\ \ 266-28x+12x=138\\\ \ 128=16x\\x=8\\\\y=19-2\times8=3[/tex]

Hence, the cost of a chocolate pie is $3

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