A basketball fieldhouse seats 15,000. Courtside seats sell for $8, endzone for $7, and balcony for $5. A full house earns $88,000 in ticket revenue. If half the courtside and balcony seats and all the endzone seats are sold, the
Total ticket revenue is $51,000. How many of each type of seat are there?
A) 4000 courtside, 3000 endzone, 8000 balcony
B) 4000 courtside, 1500 endzone, 9500 balcony
C) 3200 courtside, 1800 endzone, 10,000 balcony
D) 3000 courtside, 2000 endzone, 10,000 balcony

Question

Quizplus · Accepted Answer

The total number of seats is 15,000, and the total revenue when the house is full is $88,000. When half the courtside and balcony seats are sold along with all the endzone seats, the revenue is $51,000. By setting up equations based on the prices of the tickets and the total revenue, and solving these equations, we find that the distribution that meets these conditions is 3000 courtside, 2000 endzone, and 10,000 balcony seats.

A Basketball Fieldhouse Seats 15,000