Part B.

Question

Each auditorium has both floor seats and balcony seats.
Auditorium A has 250 floor seats and 310 balcony seats and Auditorium B has 195 floor seats and 410 balcony seats. Let f represent the cost of a floor seat and b represent the cost of a balcony seat. If you let R equal total Revenue:

1)Write an equation representing the total possible revenue for Auditorium A.

2)Write an equation representing the total possible revenue for Auditorium B.

3)If both venues sold out for a concert, write an equation representing the total revenue for both venues.

4)If the cost of a floor ticket is $25.90 and the cost of a balcony seat is $12.75, determine the total revenue collected based on your equation from question 3. Show how you arrived at your answer.

5)An event was held using Auditorium A and they only sold floor seats. A total of $5,024.60 was collected. How many floor seats did they sell? Write an equation that models this situation. Show how you arrived at your answer.

Answer 1

We will be glad to critique your work. To learn the subject, it is important that you attempt this type of problem yourself.

If you do not understand the problems, explain what parts are confusing to you

Answer 2

DID DO IT BUT ALL WRONG. HAVE TO DO AGAIN FOR 1/2 CREDIT

Answer 3

1) "Total possible" means maximum revenue. That is what you would get by selling all seats.

For stadium A, that is

R = 250 f + 310 b
Use similar reasoning for the other questions. In some cases you will have to substitute ticket prices for f and b