Question

The tickets for a concert are sold in two different categories. The cost of a ticket in the standing area in the front of the stage costs $210 while the cost of a ticket for a seat costs $130. The area in front of the stage can hold 350 people and there are y seats in the arena available. Write an expression for the total amount of tickets sales if the concert is sold out.

Answer 1

The expression for the total amount of ticket sales is 73,500 + 130y.

Step-by-step explanation:

To find the total amount of ticket sales if the concert is sold out, we need to calculate the total cost of tickets for both the standing area and the seats. Let's assume the number of seats in the arena is y.

The total cost of tickets for the standing area can be calculated by multiplying the cost of a ticket ($210) by the capacity of the standing area (350 people). So, the total cost for the standing area tickets is 210 * 350 = $73,500.

The total cost of tickets for the seats can be calculated by multiplying the cost of a ticket ($130) by the number of seats (y). So, the total cost for the seat tickets is 130 * y.

The expression for the total amount of ticket sales is therefore 73,500 + 130y.