Let
x -----> the price of a senior citizen ticket
y -----> the price of a student ticket
we have that
First day
6x+14y=136 -------> equation A
Second day
5x+2y=36 ------> equation B
Solve the system of equations
I will solve the system by graphing
Remember that when solving a system by graphing, the solution is the intersection point both lines
so
using a graphing tool
see the attached figure
Please wait a minute
the solution is the point (4,8)
that means
the price of a senior citizen ticket is $4
the price of a student ticket is $8