Problema Solution
The school that Jack goes to is selling tickets to a fall musical. on the first day of ticket sales the school sold 2 adult tickets and 2 student tickets for a total of $44. the school took $88 on the second day by selling 2 adult tickets and 6 student tickets. find the price of an adult ticket and the price of a student ticket.
Answer provided by our tutors
Adult ticket price will be x
Student ticket price will be y
First Equation:
2x + 2y = 44
Second Equation
2x + 6y = 88
Make both equations equal to 0
2x + 2y - 44 = 0
2x + 6y - 88 = 0
and make them equal to each other
2x + 2y - 44 = 2x + 6y -88
move around the variables
2x-2x + 2y - 6y - 44 + 88 = 0
-4y + 44 = 0
4y = 44
y = 11
plug it in to an equation
2x + 2y = 44
2x + 2(11) = 44
2x + 22 = 44
2x = 44 - 22
2x = 22
x = 11
hence x = 11 and y = 11