document.write( "Question 721481: Now, there are a different number of ordinary bicycles, tandem bikes, and tricycles in the shop. there are 135 seats,118 front handlebars, and 269 wheels. how many regular bikes, tandem bikes, and tricycles are there? \n" ); document.write( "
Algebra.Com's Answer #442405 by AnlytcPhil(1806)\"\" \"About 
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document.write( "We could also do it using algebra:\r\n" );
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document.write( "Let x = the number of ordinary bicycles, \r\n" );
document.write( "Let y = the number of tandem bikes, and \r\n" );
document.write( "Let z = the number of tricycles\r\n" );
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document.write( "there are 135 seats,\r\n" );
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document.write( "There are x seats on the ordinary bicycles, 2y seats on the tandem bikes,\r\n" );
document.write( "and z seats on the tricycles.  So that gives us the equation:\r\n" );
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document.write( "x + 2y + z = 135\r\n" );
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document.write( "118 front handlebars, \r\n" );
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document.write( "There are x front handlebars on the ordinary bicycles, y front handlebars on the tandem bikes, and z front handlebars on the tricycles.  So that gives us the equation:\r\n" );
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document.write( "x + y + z = 118\r\n" );
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document.write( "and 269 wheels. \r\n" );
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document.write( "There are 2x wheels on the ordinary bicycles, 2y wheels on the tandem bikes,\r\n" );
document.write( "and 3z seats on the tricycles.  So that gives us the equation:\r\n" );
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document.write( "2x + 2y + 3z = 269\r\n" );
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document.write( "So the system of equations is\r\n" );
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document.write( " x + 2y +  z = 135\r\n" );
document.write( " x +  y +  z = 118\r\n" );
document.write( "2x + 2y + 3z = 269\r\n" );
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document.write( "Solve that and get x=68 regular bikes, y=17 tandem bikes, and z=33 tricycles.\r\n" );
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document.write( "Edwin
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