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.

Question

james sold 8 bags of popcorn and 5 sticks of cotton candy for a total of $67. what is the cost of the popcorn and stick of cotton candy?

Answer 1

Let x be the cost of a bag of popcorn, and y be the cost of a stick of cotton candy. Then

Sarah: 3x+9y=75 (This is what Sarah sold)

James: 8x+5y=67 (This is what James sold).

Now  you have to solve the system

3x+9y=75

8x+5y=67

 

  x+3y=25

8x+5y=67

x=4

y=7