Can you show the work

Question

kristen and jasmine are selling pies for a school fundraiser. customers can buy cherry pies and pumpkin pies. kristen sold 2 cherry pies and 12 pumpkin pies for 144 dollars. jasmine sold 5 cherry pies and 3 pumpkin pies for a toral of 63$. find the cost of each one cherry pie and one pumkin pie

Answer 1

1. Set up two equations: one for Kristen and one for Jasmine. Use the variable "c" for the cost of one cherry pie and "p" for the cost of one pumpkin pie.
2. Kristen sold 2 cherry pies and 12 pumpkin pies for $144. This can be represented by the equation: 2c + 12p = 144.
3. Jasmine sold 5 cherry pies and 3 pumpkin pies for $63. This can be represented by the equation: 5c + 3p = 63.
4. Isolate one variable so you can combine the equations. Let's use the first equation. Subtract 12p from both sides, then divide by 2 to get c = 72 - 6p.
5. Plug this in to the second equation to get: 5 ( 72 - 6p ) + 3p = 63.
6. Solve for p; p = $11.
7. Plug this value for p back into one of the original equations. Let's use the second equation: 5c + 3 (11) = 63.
8. Solve for c; c = $6.
9. Thus, the cost of a cherry pie is $6, and the cost of a pumpkin pie is $11.