Solve the problem.
-A basketball fieldhouse seats 15,000. Courtside seats sell for $9, end zone for $6, and balcony for $5. Total for a sell-out is $89,000. If half the courtside and balcony and all end zone seats are sold, ticket sales total $50,500.
How many of each type of seat are there?
A) 3000 courtside2000 end zone10,000 balcony
B) 3000 courtside2000 end zone8000 balcony
C) 4000 courtside3000 end zone8000 balcony
D) 3200 courtside1800 end zone10,000 balcony

Question

Quizplus · Accepted Answer

Let x be the number of courtside seats, y be the number of end zone seats, and z be the number of balcony seats.We have the following system of equations:x + y + z = 150009x + 6y + 5z = 890004.5x + 3y + 2.5z = 50500Solving this system of equations, we get:x = 3000y = 2000z = 10000Therefore, there are 3000 courtside seats, 2000 end zone seats, and 10000 balcony seats.

Solve the Problem. -A Basketball Fieldhouse Seats 15,000. Courtside Seats Sell for $9