document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65040>Question 65040</A>: <I><SPAN STYLE=\"word-break: break-all;\"> American Products plans to lay off 10% of it's employees in its aerospace division and 15% of its employees in its agricultural division.  If altogehter 12%of the 3000 employess in thes two divisions will be laid off, then how many employees are in each division?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45562 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=45562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x=number of employees in aerospace division<BR>\n" );
document.write( "Then 3000-x=number of employees in agricultural division\r<BR>\n" );
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document.write( "Now we know that the number of employees laid off in aerospace (.10)x plus the number of employees laid off in agricultural (.15)(3000-x) must equal the total number of employees laid off (.12)(3000) so our equation to solve is:\r<BR>\n" );
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document.write( ".10x+.15(3000-x)=.12(3000)  simplifying we have:\r<BR>\n" );
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document.write( ".10x-.15x+450=360  collecting like terms:<BR>\n" );
document.write( "-.05x=360-450<BR>\n" );
document.write( "-.05x=-90<BR>\n" );
document.write( "x=1800 number of employees in aerospace div\r<BR>\n" );
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document.write( "3000-x=3000-1800=1200 in agricultural div\r<BR>\n" );
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document.write( ".1(1800)+.15(1200)=.12(3000)<BR>\n" );
document.write( "180+180=360<BR>\n" );
document.write( "360=360\r<BR>\n" );
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document.write( "Hope this helps.  Happy holidays----ptaylor </SPAN>\n" );
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