Solve the Problem by Writing and Solving a Suitable System $\$ 10$

Multiple Choice

Solve the problem by writing and solving a suitable system of equations.
-A basketball fieldhouse seats 15,000 . Courtside seats sell for $\$ 10$ , endzone for $\$ 6$ , and balcony for $\$ 4$ . Total revenue for a sell-out is $\$ 82,000$ . If half the courtside and balcony and all endzone seats are sold, the total revenue is $\$ 47,000$ . How many of each type are there?

A) 4000 courtside
B) 3200 courtside
C) 3000 courtside 3000 endzone 1800 endzone 2000 endzone 8000 balcony 10,000 balcony 10,000 balcony