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miss Akunina [59]
3 years ago
9

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?
Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0

Answer:

$3

Step-by-step explanation:

let the cost of apple pie be x and the cost of chocolate pie be y.

We then express the situation as:

2y+4x=38\ \ \ \ \ \ ...eqtn1\\\\14y+12x=138\ \ \  \....eqtn2

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

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

Hence, the cost of a chocolate pie is $3

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