A theater company has raised $810.75 by selling 15 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?

A: 15x = 810.75

"15 tickets times the price of each ticket (which we don't know) equals $810.75"

B: Each ticket cost $54.05

"It is correct because if I multiply $54.05 (the price of the ticket) by 15 (the number of tickets, I get $810.75, the amount the theater raised."

Step-by-step explanation:

15x = 810.75

divide both sides by 15 to isolate the variable:

x = 54.05

Each ticket cost $54.05

Okay so for Part A, we first need to come up with a variable. Lets have t=cost of 1 ticket. So you know that the company gained $810.75 by selling 15 tickets each costing $t. So if one ticket costs $t, then 15 tickets cost $15t, which is equal to $810.75. SO now you can form an equation: 15t=810.75. Part B: Therefore, p = 810.75 / 15

p is the variable for price and to find the value for each ticket take the total value divided by the number of tickets.

p = $54.05

answer: give more info

step-by-step explanation: