document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1111858>Question 1111858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Amongst the children in a family, each boy has as many sisters as brothers, but each girl has only half as many sisters as brothers. Find the number of children in the family. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #726891 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52787)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=726891\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "<U>Answer</U>.  &nbsp;&nbsp;4&nbsp; boys and &nbsp;3&nbsp; girls. &nbsp;&nbsp;7 children, &nbsp;in all.\r<BR>\n" );
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document.write( "<U>Solution</U>\r<BR>\n" );
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document.write( "Let b be the number of boys and g be the number of girls.\r\n" );
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document.write( "Then\r\n" );
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document.write( "b - 1 = g       (1)   (\"each boy has as many sisters as brothers\")\r\n" );
document.write( "2*(g-1) = b     (2)   (\"each girl has only half as many sisters as brothers\")\r\n" );
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document.write( "First equation says \"each boy has b-1 brothers, and this number is equal to the number of sisters\".\r\n" );
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document.write( "Second equation says \"each girl has g-1 sisters, and .. . and so on . . . \")\r\n" );
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document.write( "From (1), substitute \"b\" into (2) and get the answer.\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "Thanks for this entertainment problem posted.\r<BR>\n" );
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document.write( "It was a pleasure to solve it.\r<BR>\n" );
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document.write( "<U>Comment from student</U>: I didn't understand the wording, but I'm glad that you enjoyed it. Thanks for answering.<BR>\n" );
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document.write( "<U>My responce</U>:  &nbsp;I &nbsp;Emailed &nbsp;this problem today late in the evening to two my grandsons.  \r<BR>\n" );
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document.write( "One of them is &nbsp;12-th grade; &nbsp;the other is &nbsp;11-th grade.\r<BR>\n" );
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document.write( "To my great satisfaction, &nbsp;both returned me their correct solutions less than in half an hour.\r<BR>\n" );
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document.write( "I was  very happy !\r<BR>\n" );
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document.write( " </SPAN>\n" );
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