document.write( "Question 433042: the children in a family comprise both boys and girls. Each boy has as many brother as sisters, but each girl has half as many sisters as brothers. how many boys and how many girls are in the family \n" ); document.write( "
Algebra.Com's Answer #300173 by Edwin McCravy(20055)\"\" \"About 
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The children in a family comprise both boys and girls. Each boy has as many
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document.write( "Let b = the number of boys.\r\n" );
document.write( "Let g = the number of girls.\r\n" );
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document.write( "Each boy has one less brother than the number of boys, since he is not his \r\n" );
document.write( "own brother, so\r\n" );
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document.write( "b-1 = the number of brothers each boy has.\r\n" );
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document.write( "However\r\n" );
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document.write( "b = the number of brothers each girl has.\r\n" );
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document.write( "Each girl has one less sister than the number of girls, since she is not \r\n" );
document.write( "her own sister, so\r\n" );
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document.write( "g-1 = the number of sisters each girl has.\r\n" );
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document.write( "However\r\n" );
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document.write( "g = the number of sisters each boy has.\r\n" );
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document.write( ">>...Each boy has as many brother as sisters...<<\r\n" );
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document.write( "            b-1 = g\r\n" );
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document.write( ">>...each girl has half as many sisters as brothers...<<\r\n" );
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document.write( "           g-1 = ½b\r\n" );
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document.write( "Clear that equation of fractions by multiplying through by 2\r\n" );
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document.write( "          2g-2 = b\r\n" );
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document.write( "Substitute b-1 for g\r\n" );
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document.write( "      2(b-1)-2 = b\r\n" );
document.write( "        2b-2-2 = b  \r\n" );
document.write( "          2b-4 = b\r\n" );
document.write( "            2b = b+4\r\n" );
document.write( "             b = 4\r\n" );
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document.write( "Substitute 4 for b in\r\n" );
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document.write( "            b-1 = g\r\n" );
document.write( "            4-1 = g\r\n" );
document.write( "              3 = g\r\n" );
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document.write( "So there are 4 boys and 3 girls in the family.  Each boy has \r\n" );
document.write( "3 brothers and 3 sisters.  Each girl has 2 sisters and \r\n" );
document.write( "4 brothers.\r\n" );
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document.write( "Edwin
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