Question

Elisa and Pranav are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Elisa sold 2 apple pies and 12 lemon meringue pies for a total of $260. Pranav sold 12 apple pies and 5 lemon meringue pies for a total of $220. Find the cost each of one apple pie and one lemon meringue pie.

Answer 1

Step-by-step explanation:

First, identify the variables to be used. Let A = the price of an apple pie. Next, we can let L = the price of a lemon meringue pie. Using the info in the problem, we can form two equations:

6A + 4L = 80

6A + 5L = 94

We can use the Elimination Method to solve this system of equations. If we multiply the bottom equation by -1 and then add the two equations together, we get:

6A + 4L = 80

-6A - 5L = -94

____________

-L = -14

L = 14

The cost of a lemon meringue pie is $14. To find the cost of an apple pie, simply substitute L = 14 into either of our original two equations. I will choose the first equation.

6A + 4(14) = 80

6A + 56 = 80

6A = 24

A = 4

The cost of an apple pie is $4.