SOLUTION: To collect funds, the organization is holding a football match between teachers and varsity players. Each ticket costs 2x + 3y for students and 3x

SOLUTION: To collect funds, the organization is holding a football match between teachers and varsity players. Each ticket costs 2x + 3y for students and 3x - 5y for non-students. What is th

Question 625325: To collect funds, the organization is holding a football match between teachers and varsity players. Each ticket costs 2x + 3y for students and 3x - 5y for non-students. What is the total earning if 2x - 3y students and 3x + 5y non-students would attend?
Answer by jsmallt9(3759) (Show Source): You can put this solution on YOUR website!
Could you figure this out if you knew how many students bought tickets, how many non-students bought tickets and if you knew what the ticket prices were?
For example if 100 students and 120 non-students bought tickets and the studnet tickets cost $5 and the non-student tickets cost $8 could you figure out the total amount of money earned from selling these tickets? I think you probably could. You would probably do something like
(number of students)*(price of a student ticket) + (number of non-students) * (price of a non-student ticket)

Guess what! You will solve this problem exactly the same way!! Just because you have "weird" numbers like 2x+3y, 3x-5y, 2x-3y and 3x+5y, the logic does not change! We will still do the calculations described above:

(number of students)*(price of a student ticket) + (number of non-students) * (price of a non-student ticket)
      (2x-3y)       *        (2x+3y)             +        (3x+5y)           *       (3x-5y)

Using FOIL to multiply:

Adding like terms:

This expression (or ) represents the total earnings from ticket sales.