document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=923933>Question 923933</A>: <I><SPAN STYLE=\"word-break: break-all;\">   A supply officer distributes 80 business envelops among 13 employees, giving half the number to the female employees and the other half to the male employees. Each female employee received 3 more than each male. How many male employees are there? ( answer is 8 - show your solution ) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560494 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=560494\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A supply officer distributes 80 business envelops among 13 employees, giving half the number to the female employees and the other half to the male employees. Each female employee received 3 more than each male. How many male employees are there? ( answer is 8 - show your solution )<BR>\n" );
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document.write( "Let the number of males be \"x\"; the number of females be \"13-x\"::<BR>\n" );
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document.write( "# each male receives = 40/x<BR>\n" );
document.write( "# each female receives = 40/(13-x)<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "40/(13-x) - 40/x = 3<BR>\n" );
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document.write( "40x - 40(13-x) = 3x(13-x)<BR>\n" );
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document.write( "80x - 40*13 = 39x - 3x^2<BR>\n" );
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document.write( "3x^2 + 41x - 40*13 = 0<BR>\n" );
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document.write( "(x-8)(3x+65) = 0<BR>\n" );
document.write( "Positive solution::<BR>\n" );
document.write( "# of males = x = 8<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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