A basketball fieldhouse seats 15,000 . Courtside seats sell for $\$ 8$, endzone for $\$ 6$, and balcony for $\$ 4$. The total revenue from a sell-out is $\$ 76,000$. If half the courtside and balcony seats and all the endzone seats are sold, the total revenue is $\$ 44,000$. How many of each type are there?
A) 3000 courtside; 3000 endzone; 8,000 balcony
B) 4000 courtside; 3000 endzone; 8000 balcony
C) 3200 courtside; 1800 endzone; 10,000 balcony
D) 3000 courtside; 2000 endzone; 10,000 balcony

Question

Quizplus · Accepted Answer

The equations based on the problem are: $8c + 6e + 4b = 76,000$ and $4c + 6e + 2b = 44,000$. Solving these with $c + e + b = 15,000$ gives 3000 courtside, 2000 endzone, and 10,000 balcony.

A Basketball Fieldhouse Seats 15,000 $8\$ 8$8 , Endzone For $6\$ 6$6

A Basketball Fieldhouse Seats 15,000 $\$ 8$ , Endzone For $\$ 6$