Question

8. There are 800 seats in the Varsity Theater. During regular performances, all seats cost $12 each. It costs the owner $275 to pay his performers for each show. a. Write an expression that could predict the owners profit if n people buy tickets for a performance. b. If the profit is $1,213, how many people attended

Answer 1

a) Profit = 12n - 275

b) 124 people

Step-by-step explanation

There are 800 seats in the Theater.

Each seat costs $12.

The owners have to pay the performers $275.

a) We want to predict the owners profit for n people that buy tickets.

We know that the owner already loses $275 for paying the performers and he gains $12 for each seat.

If there are n people in a performance, the amount generated from tickets will be:

12 * n = $12n

We also know that Profit is given as:

Profit = Sales - Cost

In this case, the sales is the amount gotten from tickets and the cost is the amount spent on performers.

Therefore:

Profit = 12n - 275

b) The profit is given to be $1213 and we want to find the number of people that attended, that is:

1213 = 12n - 275

=> 1213 + 275 = 12n

=> 12n = 1488

n = 1488 / 12

n = 124 people

124 people attended.