A certain concert venue has a total of 500 seats, some of which are premium seats near the stage, with the rest of the seats being standard seats further away from the stage. Premium seats at this venue cost $30, while standard seats at this venue cost $21.
At the last concert, a total of $11,616 were collected in seat revenue.
Assuming all 500 seats were filled, how many of each type of seat was purchased?

1) Determine the number of Standard Seats.

2) Determine the number of Premium Seats.

steve should create a type of business report called a business plan. the correct option among the options that are already given in the question is the last or the fourth option. this business report created by steve will actually influence the investors about investing their money in steve's business. this business report will have all the details about the business, the amount of investment required and the amount of expected profit.

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal