emmaheeh
Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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?

Sagot :

mhanifa

Answer:

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

Step-by-step 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

Step-by-step 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

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.