document.write( "Question 498793: 40% of the population of a town are men and 39% are women. If the number of children is 1260. Find the number of men. (Ans.2400) \n" ); document.write( "
Algebra.Com's Answer #337170 by josmiceli(19441)\"\" \"About 
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There can only be men, women, or children, so
\n" ); document.write( "Let \"m\" = number of men
\n" ); document.write( "Let \"w\" = number of women
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+m+%2B+w+%2B+1260+\" = population
\n" ); document.write( "(2) \"+m+=+.4%2A%28+m+%2B+w+%2B+1260+%29+\"
\n" ); document.write( "(3) \"+w+=+.39%2A%28+m+%2B+w+%2B+1260+%29+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "(2) \"+m+=+.4m+%2B+.4w+%2B+504+\"
\n" ); document.write( "(2) \"+.6m+-+.4w+=+504+\"
\n" ); document.write( "(2) \"+60m+-+40w+=+50400+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+w+=+.39m+%2B+.39w+%2B+491.4+\"
\n" ); document.write( "(1) \"-.39m+%2B+.61w++=++491.4+\"
\n" ); document.write( "(1) \"+-39m+%2B+61w+=+49140+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "Add the equations
\n" ); document.write( "(2) \"+60m+-+40w+=+50400+\"
\n" ); document.write( "(1) \"+-39m+%2B+61w+=+49140+\"
\n" ); document.write( "\"+21m+%2B+21w+=+99540+\"
\n" ); document.write( "\"+21%2A%28+m+%2B+w+%29+=+99540+\"
\n" ); document.write( "\"+m+%2B+w+=+4740+\"
\n" ); document.write( "and, since
\n" ); document.write( "\"+m+%2B+w+%2B+1260+\" = population
\n" ); document.write( "\"+4740+%2B+1260+=+6000+\" = population
\n" ); document.write( "Going back to (2)
\n" ); document.write( "(2) \"+m+=+.4%2A%28+m+%2B+w+%2B+1260+%29+\"
\n" ); document.write( "(2) \"+m+=+.4%2A6000+\"
\n" ); document.write( "(2) \"+m+=+2400+\"
\n" ); document.write( "There are 2400 men
\n" ); document.write( "check the answer:
\n" ); document.write( "(3) \"+w+=+.39%2A%28+m+%2B+w+%2B+1260+%29+\"
\n" ); document.write( "(3) \"+w+=+.39%2A6000+\"
\n" ); document.write( "(3) \"+w+=+2340+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+m+%2B+w+%2B+1260+\" = 6000
\n" ); document.write( "(1) \"+2400+%2B+2340+%2B+1260+=+6000+\"
\n" ); document.write( "(1) \"+6000+=+6000+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );