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.

Respuesta :

Answer:

The expression for the total amount of tickets sales can be give in dollars as :

⇒ [tex]130y+73,500[/tex]

Step-by-step explanation:

Given:

Cost of a ticket in standing arena = $210

Cost of a ticket for a seat = $130

Total people that can accommodate in standing arena = 350

Total number of seats in the concert = [tex]y[/tex]

To  write the expression for the total amount of tickets sales if the concert is sold out.

Solution:

The concert is sold out. This means 350 tickets for standing arena and [tex]y[/tex] tickets for seats are sol out.

Using unitary method to find the total cost.

If a ticket in front stage arena costs =  $210

Then, 350 such tickets will cost = [tex]350\times \$ 210=\$ 73,500[/tex]

If a ticket for a seat costs = $130

Then, y such tickets will cost = [tex]y\times \$ 130=\$ 130y[/tex]

Total amount of ticket sales can be given as:

[tex]\textrm{Total cost of seat tickets in dollars sold + Total cost of front stage tickets in dollars sold}[/tex]

⇒ [tex]130y+73,500[/tex]