You are given the following:     Profit (P) = $1,125

                                             Cost (C) on advertising = $75

                                             # of tickets sold = 120 tickets

                                             Price per ticket = $? ==>

    Note:   the price per ticket multiplied by the # of tickets sold yields the total revenue.

Profit, cost, and revenue are related by the following formula: 

      Profit = Revenue - Cost

Let x represent the price per ticket, then....

....   Revenue = (# of tickets sold) * (price per ticket) = (120) * (x) = 120x

So,

      Profit = Revenue - Cost 

      1,125 = 120x - 75

Now solve for x:

      1,125 + 75 = 120x - 75 + 75 

       1,200 = 120x

      (1,200) / 120 = (120x) / 120 

          10 = x

Thus, each ticket cost $10.

Profit = Revenue - Cost

We have the following information

Profit : 1125, Cost = 75, We need to find Revenue ?

Revenue = Total number of tickets sold X Price per ticket (P).

Revenue = 120 X P = 120P

Now lets plug all the information we have in our original equation

Profit = Revenue - Cost

1125 = 120P - 75

Change the sides changes the sign

1125+75 = 120P

1200 = 120 P

Divide each side by 120

10 = P

Therefore the price  (P) of each ticket is $10.

This story problem requires a simple equation for profit.  The equation can be written:

Profit = Cost per ticket X Number of tickets - Fixed cost

For this problem, the variables (Profit, Cost per ticket, Number of tickets, and Fixed cost) are defined as follows:

Profit = $1,125

Cost per ticket = x (variable being sought)

Number of tickets = 120

Fixed cost = $75

Substituting in the variables produces the equation (without dollar signs)

1,125 = 120x - 75

Add 75 to each side

1200 = 120x

Divide both sides by 120

x = 10

Each ticket cost $10.

Profit = revenue - cost

1,125 = 120x - 75, where x is the cost of each ticket.

Solve for x,

x = $10 <==Answer