Question

Jennifer and Micaela are selling pies for a school fundraiser. Customers can buy apple pies and pumpkin pies. Jennifer sold 4 apple pies and 5 pumpkin pies for a total of $86. Micaela sold 8 apple pies and 2 pumpkin pies for a total of $92. Find the cost each of one apple pie and one pumpkin pie.

Answer 1

9514 1404 393

Answer:

• apple $9
• pumpkin $10

Explanation:

Let 'a' and 'p' stand for the prices of apple and pumpkin pies, respectively. Then the two sales are described by ...

4a +5p = 86

8a +2p = 92

Subtract half the second equation from the first to eliminate the 'a' variable.

(4a +5p) -(1/2)(8a +2p) = (86) -(1/2)(92)

4p = 40 . . . . . simplify

p = 10 . . . . . . . divide by 4

Substitute into the first equation:

4a + 5(10) = 86

4a = 36 . . . . . subtract 50

a = 9 . . . . . . . divide by 4

One apple pie costs $9; one pumpkin pie costs $10.