document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207641>Question 1207641</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "The number of men is more than the number of women. 20% of men and 25% of women are unmarried. The number of unmarried men and unmarried women are equal. A total of 230 employees are unmarried. What is the percentage of women . My son tried to solve it but the number of employees was in fractions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845619 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845619\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this is what i get.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "let x = number of men<BR>\n" );
document.write( "let y = number of women\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you are given that 20% of men and 25% of women are unmarried.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the equation for that is .2x + .25y = number of unmarried employees.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a total of 230 employees are unmarried.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the equation for that is .2x + .25y = 230\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the number of unmarried men and unmarried women are equal.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that gets you .2x = .25y\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if .2x + .25y = 230, and .2x = .25y, then replace .2x with .25y to get:<BR>\n" );
document.write( ".25y + .25y = 230<BR>\n" );
document.write( "combine like terms to get .5y = 230<BR>\n" );
document.write( "solve for y to get y = 230 / .5 = 460.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "likewise replace .25y with .2x to get:<BR>\n" );
document.write( ".2x + .2x = 230<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( ".4x = 230<BR>\n" );
document.write( "solve for x to get x = 230 / .4 = 575.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you have 575 men and 460 women for a total of 1035 employees.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the percentage of women is 460 / 1035 * 100 = 44.4444444.....%.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the percent is a fraction, but the number of employees is not.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "working from the beginning, you have:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "575 men and 460 women.<BR>\n" );
document.write( "20% of the men and 25% of the women are unmarried.<BR>\n" );
document.write( "that makes .20 * 575 + .25 * 460 unmarried employees = 115 men and 115 women that are unmarried.<BR>\n" );
document.write( "that makes a total of 230 employees that are unmarried, with the number of unmarried men being equal to the number of unmarried women.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "let me know if this helps.<BR>\n" );
document.write( "theo </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );