document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018586>Question 1018586</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a family gathering there are 100 people.  There are 4 less than twice as many women as men and 6 more children as both combined.  How many children are at the gathering? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634670 by </B><A HREF=/tutors/aboutme.mpl?userid=JulietG><B>JulietG(1812)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JulietG><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=JulietG><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=634670\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let W = women, M = men, C = children<BR>\n" );
document.write( "W + M + C = 100<BR>\n" );
document.write( "W = 2M - 4 (the wording is odd???)<BR>\n" );
document.write( "C = 2(W + M) + 6<BR>\n" );
document.write( "Therefore, C = 2W + 2M + 6<BR>\n" );
document.write( "Go back to the top equation<BR>\n" );
document.write( "W + M + (2W + 2M + 6) = 100<BR>\n" );
document.write( "3W + 3M + 6 = 100<BR>\n" );
document.write( "3W + 3M = 94<BR>\n" );
document.write( "Substitute the known value of W<BR>\n" );
document.write( "3(2M-4) + 3M = 94<BR>\n" );
document.write( "6M - 12 + 3M = 94<BR>\n" );
document.write( "9M -12 = 94<BR>\n" );
document.write( "9M = 106<BR>\n" );
document.write( "M = 11.77<BR>\n" );
document.write( "Hmmmm...can't have part of a man<BR>\n" );
document.write( "Can you check the wording to the problem and type is exactly as written?  This sentence is odd: There are 4 less than twice as many women as men and 6 more children as both combined.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );