document.write( "Question 955988: A particular work can be completed by 6 men and 6 women in 24 days. Whereas the same work can be completed by 8 men and 12 women in 15 days. Find the amount of work done, one men is equivalent to how many Women. \n" ); document.write( "
Algebra.Com's Answer #584009 by josgarithmetic(39617)\"\" \"About 
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Rates are as JOB per DAY, or \"1%2F%28howManyDays%29\".\r
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\n" ); document.write( "\n" ); document.write( "R rate for 1 man
\n" ); document.write( "r rate for 1 woman
\n" ); document.write( "1, the amount of work for the expected 1 job.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "particular work can be completed by 6 men and 6 women in 24 days.
\n" ); document.write( "\"%286R%2B6r%29%2A24=1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the same work can be completed by 8 men and 12 women in 15 days.
\n" ); document.write( "\"%288R%2B12r%29%2A15=1\"\r
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\n" ); document.write( "\n" ); document.write( "Simplify the two equations.
\n" ); document.write( "-
\n" ); document.write( "\"6%2A24R%2B6%2A24r=1\"
\n" ); document.write( "\"144R%2B144r=1\"
\n" ); document.write( "-
\n" ); document.write( "\"8%2A15R%2B12%2A15r=1\"
\n" ); document.write( "\"120R%2B180r=1\"\r
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\n" ); document.write( "\n" ); document.write( "System to solve:
\n" ); document.write( "\"system%28144R%2B144r=1%2C120R%2B180r=1%29\"\r
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\n" ); document.write( "\n" ); document.write( "Substitution would be an easier method than elimination . Maybe.\r
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\n" ); document.write( "\n" ); document.write( "\"180r=1-120R\"
\n" ); document.write( "\"highlight_green%28r=%281-120R%29%2F180%29\"
\n" ); document.write( "-
\n" ); document.write( "\"144R%2B144%281-120R%29%2F180=1\"
\n" ); document.write( "\"144%2A180%2AR%2B144%281-120R%29=180\"
\n" ); document.write( "\"144%2A180R%2B144-120%2A144R=180\"
\n" ); document.write( "\"144%2A180R-120%2A144R=180-144\"
\n" ); document.write( "\"144R%28180-120%29=36\"
\n" ); document.write( "\"144%2A60R=36\"
\n" ); document.write( "\"24%2A10R=1\"
\n" ); document.write( "\"highlight%28R=1%2F240%29\"------One man does one job in 240 days.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"r=%281-120R%29%2F180\"
\n" ); document.write( "\"r=%281-120%281%2F240%29%29%2F180\"
\n" ); document.write( "\"r=%281%2F2%29%2F180\"
\n" ); document.write( "\"highlight%28r=1%2F360%29\"------One WOMAN does one job in 360 days.\r
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\n" ); document.write( "\n" ); document.write( "If n is the number of women to make the rate of work for 1 man, then
\n" ); document.write( "\"n%281%2F360%29=1%2F240\"
\n" ); document.write( "\"n=360%2F240\"
\n" ); document.write( "\"n=36%2F24\"
\n" ); document.write( "\"n=6%2F4\"
\n" ); document.write( "\"highlight%28n=3%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "--------One man is equivalent to \"highlight%281%261%2F2%29\" women.
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