document.write( "Question 24800: Please help me on this proportion.
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Algebra.Com's Answer #13294 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
Please help me on this proportion.\r\n" );
document.write( "A 60 meter steel pole is cut into two parts in the ratio of 11:4. \r\n" );
document.write( "How much longer is the longer part than the shorter?\r\n" );
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document.write( "Let x meters = the length of the longer piece.\r\n" );
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document.write( "Then the length of the shorter piece is \r\n" );
document.write( "60 meters - x meters or \r\n" );
document.write( "60 - x meters\r\n" );
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document.write( "  longer piece     11\r\n" );
document.write( "——————————————— = ————\r\n" );
document.write( " shorter piece      4\r\n" );
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document.write( "    x       11\r\n" );
document.write( "———————— = ————\r\n" );
document.write( " 60 - x      4\r\n" );
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document.write( "Cross multiply:\r\n" );
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document.write( "(LEFT NUMERATOR)×(RIGHT DENOMINATOR) =\r\n" );
document.write( "              (RIGHT NUMERATOR)×(LEFT DENOMINATOR)\r\n" );
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document.write( "(x)(4) = (11)(60 - x)\r\n" );
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document.write( "    4x = 11(60 - x)\r\n" );
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document.write( "    4x = 660 - 11x\r\n" );
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document.write( "   15x = 660\r\n" );
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document.write( "     x = 660/15\r\n" );
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document.write( "     x = 44 = length of longer piece\r\n" );
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document.write( "length of shorter piece = 60 - x = 60 - 44 =\r\n" );
document.write( "16 meters\r\n" );
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document.write( "To find how much longer 44 is than 16, we subtract\r\n" );
document.write( "44 - 16 and get 28 meters.\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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