Baseball Seating Capacity
Author: Baseball Bob
In the Joliet Jackhammers baseball stadium, there are three types of seats available. Box seats are $9?
reserved seats are $7, and lawn seats are $5. The stadium capacity is 4100. If all the seats are sold, the total revenue to the club is $28,400. If 1/2 of the box seats are sold, 1/2 of the reserved seats are sold, and all the lawn seats are sold, the total revenue is $18,300. How many are there of each kind of seat?
In the Joliet Jackhammers baseball stadium, there are three types of seats available.
Box seats are $9, reserved seats are $7, and lawn seats are $5.
The stadium capacity is 4100.
B + R + L = 4100
If all the seats are sold, the total revenue to the club is $28,400.
9B + 7R + 5L = 28,400
If 1/2 of the box seats are sold, 1/2 of the reserved seats are sold, and all the lawn seats are sold, the total revenue is $18,300.
4.5B + 3.5R + 5L = 18,300
9B + 7R + 10L = 36,600
5L = 8,200
L = 1,640
9B + 7R = 20,200
B + R = 2,460
9B + 9R = 22,140
2R = 1,940
R = 970
B = 1,490
How many are there of each kind of seat?
There are 1,490 box seats, 970 reserved seats
and 1,640 lawn seats in the stadium.
Los Angeles Dodgers