Atheater company has raised $870.75 by selling 25 floor seat tickets. each ticket costs the same. part a: write an equation with a variable that can be solved to correctly find the price of each ticket. explain how you created this equation. part b: solve your equation in part a to find the price of each floor seat ticket. how do you know your solution is correct?

Part A:

 The first thing we must do for this case is to define a variable.
 We have then:
 x: cost for each ticket.
 We now write the equation that models the problem.
 y = 25x

 Part B:

 We have the following equation:
 y = 25x
 For y = 870.75 we have:
 870.75 = 25x
 From here, we clear the value of x:
 x = 870.75 / 25
 x = 34.83 $
 We check the solution:
 y = 25 * (34.83)
 y = 870.75
 Therefore, the solution is correct.