What is the cost each of one apple pie and one pumpkin pie?

Question

Mark and Ming are selling pies for a school fundraiser. Customers can buy apple pies and pumpkin pies. Mark sold 5 apple pies and 12 pumpkin pies for a total of $205. Ming sold 2 apple pies and 1 pumpkin pie for a total of $25. What is the cost each of one apple pie and one pumpkin pie?

We need to find out what x and y represents and the system of equations.

Answer 1

5a+12p=205 [1]

2a+1p=25 [2]

Multiply [2] by -12 to get -24a-12p=-300

5a+12p=205

-24a-12p=-300

Add together

-19a=-95

Divide by -19 to get a=5

Substitute back into [2]

2(5)+p=25

10+p=25

p=15

Check in [1]

5(5)+12(15) = 205

25 + 180 = 205

Apple pies are $5 and pumpkin pies are $15 ■

Answer 2

Final answer is: Each apple pie costs $5 and each pumpkin pie costs $15.