document.write( "Question 1189692: A stadium has 48000 seats. Seats sell for $35 in Section A, $30 in Section B, and $25 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 $1510500 from each sold-out event. How many seats does each section hold \n" ); document.write( "

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\n" ); document.write( "A stadium has 48000 seats. Seats sell for $35 in Section A, $30 in Section B, and $25 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 $1510500 from each sold-out event. How many seats does each section hold
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With a 48,000-seat capacity, and with Section A's total capacity being that of both B and C, it's clear that \r\n" );
document.write( "Section A's capacity, as well as Sections B and C, combined, is:\r\n" );
document.write( "Section A's capacity is 24,000, and with each seat selling for $35, proceeds from Section A = 35(24,000) = $840,000\r\n" );
document.write( "As proceeds from Section A totals $840,000, proceeds from Sections B and C, combined = $670,500 ($1,510,500 - $840,000)\r\n" );
document.write( "\r\n" );
document.write( "Let seating capacity in Section B, be B\r\n" );
document.write( "As both Sections B and C have a capacity of 24,000, seating capacity in Section C = 24,000 - B\r\n" );
document.write( "We then get: 30B + 25(24,000 - B) = 670,500\r\n" );
document.write( "6B + 5(24,000 - B) = 134,100 ------ Factoring out GCF, 5\r\n" );
document.write( "6B + 5(24,000) - 5B = 134,100\r\n" );
document.write( "6B - 5B = 134,100 - 5(24,000)\r\n" );
document.write( "Seating capacity in Section B, or B = 134,100 - 120,000 = 14,100\r\n" );
document.write( "Seating capacity in Section C: 24,000 - 14,100 = 9,900

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