Question 1159415: In a baseball stadium, there are three types of seats available. Box seats are $9, reserved seats are $6, and lawn seats are $4. The stadium capacity is 4000. If all the seats are sold, the total revenue to the club is $25,240.If one half of the box seats sold, one half of the reserved seats are sold, and all the lawn seats are sold, the total revenue is $15,760. How many of each kind of seat are there?
Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! B+R+L=4000
9B+6R+4L=25240
4.5B+3R+4L=15760, since half the seats of one type is half the money, even if the number is unknown.
multiply the last by -2 and add to the second
-9B-6R-8L=-31520
-4L=-6280
L=1570 lawn seats or $6280 revenue
B+R=2430
9B+6R+6280=25240 or
9B+6R=18960, multiply the B+R equation by -6 and add
-6B-6R=-14580
3B=4380
B=1460 box seats or $13140 if all sold
R=2430-1460=970 reserved seats or $5820 if all sold
(B, R, L)=(1460, 970, 1570)
Answer by josgarithmetic(39620)  (Show Source):
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