Answer:
Cost of Senior Citizen Ticket: $15
Cost of Student Ticket: $3
Step-by-step explanation:
Let the price of a senior citizen ticket be s.
Let the price of a student ticket be t.
Day 1:
s + 12t = 51
Day 2:
5s + 6t = 93
The system of equations is:
s + 12t = 51
5s + 6t = 93
Let's use the substitution method to solve it. Solve the first equation for s.
s = 51 - 12t
Now substitute s in the second equation with 51 - 12t.
5s + 6t = 93
5(51 - 12t) + 6t = 93
255 - 60t + 6t = 93
Subtract 255 from both sides. Combine -60t and 6t.
-54t = -162
Divide both sides by -54.
t = 3
Now substitute 3 for t in the equation
s = 51 - 12t
s = 51 - 12(3)
s = 51 - 36
s = 15
Answer:
Cost of Senior Citizen Ticket: $15
Cost of Student Ticket: $3
