SOLUTION: Sarah and James are selling popcorn and cotton candy at the state fair. Sarah sold 3 bags of popcorn and 9 sticks of cotton candy for a total of $75. James sold 8 bags of popcorn a

Algebra ->  Equations -> SOLUTION: Sarah and James are selling popcorn and cotton candy at the state fair. Sarah sold 3 bags of popcorn and 9 sticks of cotton candy for a total of $75. James sold 8 bags of popcorn a      Log On


   



Question 1069774: Sarah and James are selling popcorn and cotton candy at the state fair. Sarah sold 3 bags of popcorn and 9 sticks of cotton candy for a total of $75. James sold 8 bags of popcorn and 5 sticks of cotton candy for a total of $67. What is the cost of a bag of popcorn and a stick of cotton candy? Show your work and solve
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3P%2B9C=75
8P%2B5C=67
Multiply the first equation by 8 and the second by 3 and subtraction the second from the first to eliminate P,
24P%2B72C-24P-15C=600-201
57C=399
C=7
Now use either equation to solve for P.