document.write( "Question 1037204: 25% of men in a population are married and 30% of females are married. What percentage of the population is married? \n" ); document.write( "

Algebra.Com's Answer #651916 by Edwin McCravy(20060) $\"\"$ $\"About$

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document.write( "It's just a matter of averaging the two percentages.  But that\r\n" );
document.write( "doesn't explain why.\r\n" );
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document.write( "Assume that there are N men and N women in the population.\r\n" );
document.write( "That means there are 2N men and women total in the population.\r\n" );
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document.write( "Then 25% of N or 0.25N and married men and 30% of N or 0.3N\r\n" );
document.write( "are married women.  That's a total of 0.25N+0.3N or 0.55N \r\n" );
document.write( "married people.\r\n" );
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document.write( "Now the question is :\r\n" );
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document.write( "0.55N is what percent of 2N?\r\n" );
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document.write( "IS/OF = 0.55N/2N = 0.275 = 27.5%\r\n" );
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document.write( "That's the same as averaging the two percentages: \r\n" );
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document.write( "Edwin

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