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A stadium has 54,000 seats. Seats sell for $25 in Section A, $20 in Section B, and $15 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,151,000 from each sold-out event. How many seats does each section hold?

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Answer:

A: 27000 seats, B: 14200 seats, C: 12800 seats

Step-by-step explanation:

A + B + C = 54000

B + C = A

=> 2A = 54000 => A = 27000

=> B + C = 27000 => C = 27000 - B

25A + 20B + 15C = 1151000

25x27000 + 20B + 15(27000 - B) = 1151000

=> B = 14200

=> C = 27000 - 14200 = 12800

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