Need Help With Homework Math

Question

Amy and Jill are selling pies for a school fundraiser. Customers can buy apple pies and blackberry pies. Amy sold 2 apple pies and 6 blackberry pies for a total of $138. Jill sold 6 apple pies and 7 blackberry pies for a total of $194. What is the cost each of one apple pie and one blackberry pie?

Answer 1

2A + 6B = 138

6A + 7B = 194

6A + 18B = 414

6A + 7B = 194

11B = 220

B= $20 for a blueberry pie

A + 3B = 69

A = 69-3B = 69-3(20) = 69-60 = $9 for an apple pie

2(9) + 6(20) = 18+120 = 138

6(9)+7(20) = 54+140= 194