Let's start by using the information given in the problem to set up two equations.
First, we know that the cost of 5 tickets plus the cost of concessions is equal to $76.75:
5t + 28.75 = 76.75
Next, we know that the cost of the tickets alone is equal to 5 times the cost of one ticket:
5t = (cost of 5 tickets)
We can then substitute the expression for the cost of 5 tickets into the first equation:
5t + 28.75 = 76.75
5t = 76.75 - 28.75
5t = 48
Finally, we can solve for the cost of one ticket, t:
t = 48/5
t = 9.6
Therefore, the equation that shows the cost of each ticket is t = 9.6.