Adult tickets cost $10 each and student tickets cost $6 each.
Given:
Kyle's family bought 4 adult tickets and 2 student tickets for $52
Maria's family bought 3 adult tickets and 5 student tickets for 60.
Let us assign x as the adult tickets and y as the students tickets
Kyle's family: 4x + 2y = 52
Maria's family: 3x + 5y = 60
Let us find the value of x using Kyle's equation:
4x + 2y = 52
4x = 52 - 2y
x = (52 - 2y)/4
x = 13 - y/2
Substitute the value of x in Maria's equation to find y.
3x + 5y = 60
3(13 - y/2) + 5y = 60
39 - 3y/2 + 5y = 60
- 3y/2 + 5y = 60 - 39
- 3y/2 + 5y = 21
2(-3y/2 + 5y) = 2(21)
-3y + 10y = 42
7y = 42
7y/7 = 42/7
y = 6
x = 13 - y/2
x = 13 - 6/2
x = 13 - 3
x = 10
To check:
Kyle's Family Maria's Family
4x + 2y = 52 3x + 5y = 60
4(10) + 2(6) = 52 3(10) + 5(6) = 60
40 + 12 = 52 30 + 30 = 60
52 = 52 60 = 60
