document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=916510>Question 916510</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of male to female employees in an office is 3:7. When 8 additional female employees are hired the ratio becomes 3:9. How many male employees does the office have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556092 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=556092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> m/f = 3/7<BR>\n" );
document.write( "m/(f+8) = 3/9\r<BR>\n" );
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document.write( "cross m/f = 3/7 to get:<BR>\n" );
document.write( "7m = 3f<BR>\n" );
document.write( "divide both sides of this equation by 3 to get:<BR>\n" );
document.write( "7m/3 = f which is the same as f = 7m/3\r<BR>\n" );
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document.write( "cross multiply m/(f+8) = 3/9 to get:<BR>\n" );
document.write( "3*(f+8) = 9m<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "3f+24 = 9m\r<BR>\n" );
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document.write( "replace f with 7m/3 in 3f+24 = 9m to get:<BR>\n" );
document.write( "3(7m/3) + 24 = 9m<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "7m + 24 = 9m<BR>\n" );
document.write( "subtract 7m from both sides of the equation to get:<BR>\n" );
document.write( "24 = 2m<BR>\n" );
document.write( "divide both sides of the equation by 2 to get:<BR>\n" );
document.write( "12 = m which is the same as m = 12\r<BR>\n" );
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document.write( "in the equation m/f = 3/7, replace m with 12 to get:<BR>\n" );
document.write( "12/f = 3/7<BR>\n" );
document.write( "cross multiply to get 84 = 3f<BR>\n" );
document.write( "divide both sides of the equation by 3 to get:<BR>\n" );
document.write( "28=f which is the same as f = 28\r<BR>\n" );
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document.write( "you have m = 12 and f = 28<BR>\n" );
document.write( "m/f = 3/7 becomes 12/28 = 3/7 which becomes 3/7 = 3/7 which confirms m = 12 and f = 28 is a good solution.\r<BR>\n" );
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document.write( "m/(f+8) = 3/9 becomes 12/(28+8) = 3/9 which becomes 12/36 = 3/9 which becomes 3/9 = 3/9 which also confirms m = 12 and f = 28 is a good solution.\r<BR>\n" );
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document.write( "your solution is m = 12 and f = 28.\r<BR>\n" );
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