Question 1007826
Let price of senior citizen tickets be x
Let price of student tickets be y

10x + 3y = 57
5x + 11y = 114
Multiply second equation by 2:
10x + 3y = 57
10x + 22y = 228
Subtract equations to eliminate x:
-19y = -171
y = 9

Substitute y to get x:
10x + 3y = 57
10x + 3(9) = 57
10x + 27 = 57
10x = 30
x = 3

Final Answer:
Senior Citizen Ticket = $3
Student Ticket = $9