document.write( "Question 1135486: A ballet company sells 540 tickets for its upcoming performance of Swan Lake. Tickets for the orchestra center and front balcony seats are $56. Tickets for the left and right orchestra and balcony seats are $38. The company has sold $24,120 in tickets. How many $56 and $38 seats were sold? \n" ); document.write( "

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A ballet company sells 540 tickets for its upcoming performance of Swan Lake. Tickets for the orchestra center and front balcony seats are $56. Tickets for the left and right orchestra and balcony seats are $38. The company has sold $24,120 in tickets. How many $56 and $38 seats were sold?
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PLUGGABLE SOLVER is usually one of the MOST INEFFICIENT \"tools\" to solve a system of equations. It also makes the simplest problem very COMPLEX, and so I would NEVER recommend using it.
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document.write( "Plus, look at the other person's response using this \"TOOL.\" Can you really learn anything from it? I think NOT!!\r
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document.write( "Let the number of $56 tickets sold be F, and the number of $38 tickets, T
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document.write( "We then get: F + T = 540 ------- eq (i)
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document.write( "Also, 56F + 38T = 24,120 ------- eq (ii)
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document.write( "- 38F - 38T = - 20,520 --------- Multiplying eq (i) by - 38 ------ eq (iii)
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document.write( "18F = 3,600 ------ Adding eqs (iii) & (ii)
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document.write( "F, or number of $56 tickets sold = 
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document.write( "Substitute 200 for F in eq (i) to get the value of T, the number of $38 tickets sold. \n" );
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