document.write( "Question 997155: One summer evening 1600 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost $25 for covered pavilion seats and $15 for lawn seats. Total receipts were $34,000; ow many lawn and pavilion seats were sold? \n" ); document.write( "
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\n" ); document.write( "One summer evening 1600 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost $25 for covered pavilion seats and $15 for lawn seats. Total receipts were $34,000. How many lawn and pavilion seats were sold?
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\n" ); document.write( "\n" ); document.write( "Let  x  be the number of tickets sold for covered pavilion.\r
\n" ); document.write( "\n" ); document.write( "Then the number of tickets sold for lawn seats is  1600-x.\r
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\n" ); document.write( "\n" ); document.write( "The balance equation is \r
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\n" ); document.write( "\n" ); document.write( "25x + 15*(1600-x) = 34000.\r
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\n" ); document.write( "\n" ); document.write( "Simplify and solve:\r
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\n" ); document.write( "\n" ); document.write( "25x + 24000 - 15x = 34000,\r
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\n" ); document.write( "\n" ); document.write( "10x = 34000 - 24000,\r
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\n" ); document.write( "\n" ); document.write( "10x = 10000,\r
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\n" ); document.write( "\n" ); document.write( "x = \"10000%2F10\" = 1000.\r
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\n" ); document.write( "\n" ); document.write( "Answer.  1000  tickets for pavilion and  1600-1000 = 600  tickets for lawn seats were sold.\r
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