document.write( "Question 1065626: 5 men and 4 women can shovel as much snow in 6 days as 4 men and 6 women can shovel in 5 days. Who are the better workers, the men or women and by how much? \n" ); document.write( "
Algebra.Com's Answer #680786 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
R*T=W for rate, time, amount of work. The description does not specifically give the unit of work or the amount of snow.\r
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\n" ); document.write( "\n" ); document.write( "If x is rate for 1 woman and y is rate for 1 man, then for the given described equal amount of work, \"1 work\" or \"1 job\",
\n" ); document.write( "\"system%28%285y%2B4x%29%2A6=1%2C%284y%2B6x%29%2A5=1%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%2824x%2B30y=1%2C30x%2B20y=1%29\"
\n" ); document.write( "Multiply the first of these by 2, and the second of these by 3, to eliminate y and find x, first.\r
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\n" ); document.write( "\n" ); document.write( "\"system%2848x%2B60y=2%2C90x%2B60y=3%29\"
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\n" ); document.write( "\"%2890x%2B60y%29-%2848x%2B60y%29=3-2\"
\n" ); document.write( "\"42x=1\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight_green%28x=1%2F42%29\"------in whatever units of work per day.\r
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\n" ); document.write( "\n" ); document.write( "\"30%281%2F42%29%2B20y=1\"\r
\n" ); document.write( "\n" ); document.write( "\"20y=1-30%2F42\"\r
\n" ); document.write( "\n" ); document.write( "\"20y=1-5%2F7\"\r
\n" ); document.write( "\n" ); document.write( "\"20y=2%2F7\"\r
\n" ); document.write( "\n" ); document.write( "\"y=2%2F%28140%29\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight_green%28y=1%2F70%29\"------the rate for one man.\r
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\n" ); document.write( "\n" ); document.write( "\"system%281%2F42%3E1%2F70%2Cx%3Ey%29\"
\n" ); document.write( "The women are the better workers.
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