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

Question

Quizplus · Accepted Answer

Let x, y, z be the number of courtside, endzone, and balcony seats respectively. The equations are:  1) x + y + z = 15000  2) 10x + 6y + 4z = 82000  3) 5x + 6y + 2z = 47000  Solving these gives x = 3000, y = 3000, z = 9000.

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

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