Answer:
The cost of one adult ticket is $13, and the price of one student ticket is $4.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the cost of an adult ticket
y is the cost of a student ticket.
6 adult tickets and 1 student ticket for a total of $82
This means that
[tex]6x + y = 82[/tex]
[tex]y = 82 - 6x[/tex]
The school took in $51 on the second day by selling 3 adult tickets and 3 student tickets.
This means that
[tex]3x + 3y = 51[/tex]
Simplifying by 3
[tex]x + y = 17[/tex]
Since [tex]y = 82 - 6x[/tex]
[tex]x + 82 - 6x = 17[/tex]
[tex]-5x = -65[/tex]
[tex]5x = 65[/tex]
[tex]x = \frac{65}{5} = 13[/tex]
[tex]y = 82 - 6x = 82 - 6*13 = 82-78 = 4[/tex]
The cost of one adult ticket is $13, and the price of one student ticket is $4.
