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

Answer:

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

⇒ $130y+73,500$

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 = $y$

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 $y$ 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 = $350\times \ 210=\ 73,500$

If a ticket for a seat costs = $130

Then, y such tickets will cost = $y\times \ 130=\ 130y$

Total amount of ticket sales can be given as:

$\textrm{Total cost of seat tickets in dollars sold + Total cost of front stage tickets in dollars sold}$

⇒ $130y+73,500$