document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=990773>Question 990773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a group of 40 people the ratio of men to women is 3:1.how many women must join the group so that the ratio of men to women becomes 5:4?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #610788 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=610788\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a group of 40 people the ratio of men to women is 3:1.how many women must join the group so that the ratio of men to women becomes 5:4<BR>\n" );
document.write( "Let m=numberof men in the original group of 40 people<BR>\n" );
document.write( "(40-m)=numberof women in the original group of 40 people<BR>\n" );
document.write( "m/(40-m)=3/1<BR>\n" );
document.write( "120-3m=m<BR>\n" );
document.write( "4m=120<BR>\n" );
document.write( "m=30<BR>\n" );
document.write( "40-m=w=10<BR>\n" );
document.write( "let w=number of women to add to make to make the men/women ratio 5:4<BR>\n" );
document.write( "numberof men in the original group of 40 people=30m<BR>\n" );
document.write( "numberof women in the original group of 40 people=10w<BR>\n" );
document.write( "30/(10+w)=5/4<BR>\n" );
document.write( "50+5w=120<BR>\n" );
document.write( "5w=70<BR>\n" );
document.write( "w=14<BR>\n" );
document.write( "how many women must join the group so that the ratio of men to women becomes 5:4?  14<BR>\n" );
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