document.write( "Question 2042: In a team of 12 persons, 1/3 are women and 2/3 are men. To obtain a
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document.write( "team with 20% women how many men should be hired?
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Algebra.Com's Answer #452577 by melzaren(3)![]() ![]() ![]() You can put this solution on YOUR website! A few other ways to solve this:\r \n" ); document.write( "\n" ); document.write( "The quickest way, if you know a value, and the percent of the whole it represents, you can do the following:\r \n" ); document.write( "\n" ); document.write( "# of women: 12 * 1/3 = 4 women\r \n" ); document.write( "\n" ); document.write( "We know that in the end, when the team has all it's members, 4 women will equal 20% of the team. \r \n" ); document.write( "\n" ); document.write( "You can divide 4 by .20 to determine the total number of members on the team. This comes from knowing that having a portion of a whole, and knowing what percent it represents of the whole, you can divide through to get the total number.\r \n" ); document.write( "\n" ); document.write( "4 / .20 = 20\r \n" ); document.write( "\n" ); document.write( "20 total team mates - 4 women, minus the 8 original men from (12 * 2/3 = 8) = \r \n" ); document.write( "\n" ); document.write( "20 - 4 - 8 = 8 men (final answer)\r \n" ); document.write( "\n" ); document.write( "You can verify this by seeing that 20 (the total number of players) * .20 (the percent of the team that is women) = 4.\r \n" ); document.write( "\n" ); document.write( "Another way to do this is:\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This comes from knowing that in the end, if the women are 20% of the team, then the men are 80%, so we know that\r \n" ); document.write( "\n" ); document.write( "(number of men) / (entire team) = .80\r \n" ); document.write( "\n" ); document.write( "number of men = 8 + x \n" ); document.write( "total team = 12 + x\r \n" ); document.write( "\n" ); document.write( "(8 + x) / (12 + x) = .80\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |