Question

Perry and Jack are selling pies for a school fundraiser. Customers can buy apple pies and black berry pies. Perry sold 9 pies and 12 blackberry pies for a total of $165. Jack sold 8 apple pies and 3 blackberry pies for a total of $70. Find the cost each of one apple pie and one black berry pie.

Answer 1

Answer: apple pie=5

blackberry pie=10

Explanation:

apple pies=a

blackberry pies=b

Perry sold:

9a+12b=165

Jack sold:

8a+3b=70

we have a system of equations

9a+12b=165

9a=165-12b

a=(165-12b)/9

replace in the second

8(165-12b)/9 +3b=70

after we do the multiplication we will get

1320-96b+27b=630

69b=690

b=10 dollars

a=(165-120)/9=45/9=5 dollars