document.write( "Question 55636: tickets for homecoming dance cost $20 for a single ticket or $35 for a couple. ticket sales totaled $2280, and 128 people attende. how many tickets of each type were sold? \n" ); document.write( "
Algebra.Com's Answer #37748 by Edwin McCravy(20060)\"\" \"About 
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tickets for homecoming dance cost $20 for a single \r\n" );
document.write( "ticket or $35 for a couple. ticket sales totaled \r\n" );
document.write( "$2280, and 128 people attende. how many tickets of \r\n" );
document.write( "each type were sold?\r\n" );
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document.write( "Let x = the number of singles who attended\r\n" );
document.write( "Let y = the number of couples who attended\r\n" );
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document.write( "Therefore the number of people who attended = \r\n" );
document.write( "The number of singles + twice the number of couples \r\n" );
document.write( "or\r\n" );
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document.write( "x + 2y people\r\n" );
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document.write( ">>...128 people attende...<<\r\n" );
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document.write( "So \r\n" );
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document.write( "x + 2y = 128\r\n" );
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document.write( ">>...$20 for a single ticket...<<\r\n" );
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document.write( "So the money taken in from the x single tickets at\r\n" );
document.write( "$20 a ticket was \r\n" );
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document.write( "20x dollars.\r\n" );
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document.write( ">>...$35 for a couple...<<\r\n" );
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document.write( "So the money taken in from the y couple tickets at\r\n" );
document.write( "$35 a ticket was\r\n" );
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document.write( "35y dollars.\r\n" );
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document.write( ">>...ticket sales totaled $2280...<<\r\n" );
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document.write( "So 20x dollars + 35y dollars = 2280 dollars or\r\n" );
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document.write( "   20x + 35y = 2280\r\n" );
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document.write( "So now you have this system of two equations in\r\n" );
document.write( "two unknowns:\r\n" );
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document.write( "   20x + 35y = 2280\r\n" );
document.write( "     x +  2y = 128\r\n" );
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document.write( "Can you solve that system?  If not post again\r\n" );
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document.write( "Answer x = 16, y = 56\r\n" );
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document.write( "16 singles and 56 couples\r\n" );
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document.write( "Edwin
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