# SOLUTION: The total number of seats in a basketball sports arena is 12,000. The arena is divided into three sections, court sides, end zone and balcony, and there are twice as many balcony s

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 Question 447845: The total number of seats in a basketball sports arena is 12,000. The arena is divided into three sections, court sides, end zone and balcony, and there are twice as many balcony seats as court side seats. For the conference championship game, ticket price were \$10.00 for court side, \$8.00 for balcony and \$7.00 for end-zone. If the arena was sold out for the game and the total receipts were \$99,000 how many seats were court-side???.... thank you ^^Found 2 solutions by mananth, stanbon:Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!Courtside seats ----------x \$10 balcony seats ------------2x\$8 end zone seats ------------y \$7 capacity 12000 Receipts =\$99,000 .. x+2x+y = 12000 3x+y=12000 10x+8*2x+7y=99000 26x+7y= 99000 3x+y=12000 .............1 26x+7y= 99000 .............2 Eliminate y multiply (1)by -7 Multiply (2) by 1 -21x-7y= -84000 26x+7y= 99000 Add the two equations 5x=15000 /5 x= 3,000 plug value of x in (1) 3x+y= 12000 9000+y=12000 y=12000 -9000 y=3000 Courtside seats ----------x ----3000 balcony seats ------------2x----6000 end zone seats ------------y----3000 CHECK 3 x + 1 y = 12000 9000 3000 = 12000 Answer by stanbon(57342)   (Show Source): You can put this solution on YOUR website!The total number of seats in a basketball sports arena is 12,000. The arena is divided into three sections, court sides, end zone and balcony, and there are twice as many balcony seats as court side seats. For the conference championship game, ticket price were \$10.00 for court side, \$8.00 for balcony and \$7.00 for end-zone. If the arena was sold out for the game and the total receipts were \$99,000 how many seats were court-side???.... ---- Seat Equation: c + e + b = 12000 Seat Equation:-2c+ 0 + b = 0 Value Equation:10c+7e+8b = 99,000 ======================================== I used a matrix function on a TI-84 to get: court = 3000 seats end zone = 3000 seats balcony = 6000 seats =========================== Cheers, Stan H. =============