Question

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?

Answer 1

Answer:

$3

Step-by-step explanation:

Let chocolate pie be x and apple pie be y

Darryl made $38 from 2 chocolate pies and 4 apple pies

That’s

2x + 4y = $38

Kayla made $138 from 14 chocolate pies and 12 apple pies

That’s

14x + 12y = $138

We now have two equations

Equation 1 : 2x + 4y = 38

Equation 2: 14x + 12y = 138

Multiply equation one by 12 and equation 2 by 4 to eliminate apple pie y

We have

12 x 2x + 12 x 4y = 12 x 38

4 x 14x + 4 x 12y = 4 x 138

24x + 48y = 456

56x + 48y = 552

Subtract equation equation two from one

-32x = -96

Divide both sides by -32

x = -96/-32

x = 3

A chocolate pie cost $3