document.write( "Question 230879: In a group of 138 persons, composed of men, women, and children, there are 3 times as many children as men, and twice as many women as men. How many are there of each?\r
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Algebra.Com's Answer #171038 by unlockmath(1688)![]() ![]() You can put this solution on YOUR website! Hello, \n" ); document.write( "Let's represent x for the number of men. Therefore we can let 3x represent kids and 2x represent women. There's a total of 138 people so we can write an equation.\r \n" ); document.write( "\n" ); document.write( " x + 3x + 2x = 138\r \n" ); document.write( "\n" ); document.write( "Combine like terms: \r \n" ); document.write( "\n" ); document.write( " 6x = 138\r \n" ); document.write( "\n" ); document.write( "Divide both sides by 6:\r \n" ); document.write( "\n" ); document.write( " x = 23\r \n" ); document.write( "\n" ); document.write( "Therefore there are 23 Men \n" ); document.write( " 69 kids \n" ); document.write( " 46 women\r \n" ); document.write( "\n" ); document.write( "This adds up to 138 people. :-)\r \n" ); document.write( "\n" ); document.write( "RJ Toftness \n" ); document.write( "Author of \"Unlock the Mystery to Math\" \n" ); document.write( "www.math-unlock.com \n" ); document.write( " |