Question

James and Elisa are selling pies for a school fundraiser.

Customers can buy cherry pies and pumpkin pies. James sold 13 cherry pies and 12 pumpkin pies for a total of $208. Elisa sold 12 cherry pies and 12 pumpkin pies for a total of $204. Find the cost each of one cherry pie and one pumpkin pie. Identify your variables.

Answer 1

The cost of one cherry pie is $4, and the cost of one pumpkin pie is $13. We determined this by setting up a system of equations and solving for the variables representing the cost of each type of pie.

Step-by-step explanation:

To find the cost of one cherry pie and one pumpkin pie, we can set up a system of equations based on the information given:

1. Let c represent the cost of one cherry pie.
2. Let p represent the cost of one pumpkin pie.

According to the problem, James sold 13 cherry pies and 12 pumpkin pies for a total of $208, which gives us the equation:

13c + 12p = 208 ... (1)

Elisa sold 12 cherry pies and 12 pumpkin pies for a total of $204, which gives us the equation:

12c + 12p = 204 ... (2)

To solve for c and p, we can use the method of elimination or substitution. If we subtract equation (2) from equation (1), we get:

c = 4 ... (3)

Substituting the value of c from equation (3) into equation (2), we get:

12(4) + 12p = 204

48 + 12p = 204

12p = 156

p = 13

Therefore, the cost of one cherry pie is $4 and the cost of one pumpkin pie is $13.