document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=974290>Question 974290</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please explain in detail the previous question as the previous tutor replied only with the answer. Thanks much\r<BR>\n" );
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document.write( "In a group of 40 people the ration 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?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #596244 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=596244\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ratio 3 to 1 is total parts 4.  Cut 40 into four parts, and each part is 10.\r<BR>\n" );
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document.write( "At start, the fraction as men is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The desired amount or fraction as men is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%285%2B4%29=5%2F9 ALIGN=MIDDLE  ALT=\"5%2F%285%2B4%29=5%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "This becomes a two-part mixture problem.  Adding women will not change the quantity of men; it will only make their concentration smaller.\r<BR>\n" );
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document.write( "Let w be how many women to add.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2840%2A%283%2F4%29%29%2F%2840%2Bw%29=5%2F9 ALIGN=MIDDLE  ALT=\"%2840%2A%283%2F4%29%29%2F%2840%2Bw%29=5%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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