Answer:
A senior citizen ticket costs $11, and a child ticket costs $9.
Step-by-step explanation:
Let s = price of 1 senior citizen ticket, and let c = price of 1 child ticket.
First day:
8s + c = 97
Second day:
6s + 4c = 102
We have a system of 2 equations in 2 unknowns.
8s + c = 97
6s + 4c = 102
We will use the addition method to solve the system.
Multiply both sides of the first equation by -4. Write the second equation below it and add the equations.
-32s - 4c = -388
(+) 6s + 4c = 102
----------------------------
-26s = -286
Divide both sides by -26.
s = 11
Now substitute s with 11 in the first original equation and solve for c.
8s + c = 97
8(11) + c = 97
88 + c = 97
Subtract 88 from both sides.
c = 9
Answer: A senior citizen ticket costs $11, and a child ticket costs $9.
