A theater 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.