Question

14) Amanda and James are selling pies for a school fundraiser. Customers can buy blueberry pies

and lemon meringue pies. Amanda sold 13 blueberry pies (x) and 12 lemon meringue pies (Y) for
a total of $285. James sold 3 blueberry pies and 12 lemon meringue pies for a total of $195.
What is the cost each of one blueberry pie and one lemon meringue pie?

Answer 1

Explanation:

Let,

Cost of blueberry pie = x

Cost of lemon meringue = y

13x + 12y = 285 (1)

3x + 12y = 195 (2)

=> 13x + 12y - (3x + 12y) = 285 - 195

=> 13x + 12y - 3x - 12y = 90

=> 10x = 90

=> x = 90/10

=> x = $ 9

From 2

3(9) + 12y = 195

=> 27 + 12y = 195

=> 12y = 195 - 27

=> 12y = 168

=> y = 168/12

=> y = $ 14

Answer 2

• Blueberry pie costs $9, lemon meringue cost $14

Explanation:

Set equations:

• 13x + 12y = 285
• 3x + 12y = 195

Solve by elimination. Subtract the second equation from the first:

• 13x + 12y - 3x - 12y = 285 - 195
• 10x = 90
• x = 9

Find the value of y:

• 3*9 + 12y = 195
• 12y = 195 - 27
• 12y = 168
• y = 168/12
• y = 14