Gabby sold 6 apple pies and 4 key lime pies for a total of $80. Sydney sold 6 apple pies and 5 key lime pies for a total of $94. What is the cost of each apple pie and key lime pie?

Answer 1

Let a=cost of apple pie; k=cost of key lime pie

6a+4k=80 (money equation)

6a+5k=94 (money equation)

Solve the system of equations by multiplying the 2nd equation by -1. Then add both equations to get k=14. Then plug in k=14 to one of the money equations to get a=4.

So, the cost of apple pie is $4 (a=4) and the cost of key lime pie is $14 (k=14)