document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84467>Question 84467</A>: <I><SPAN STYLE=\"word-break: break-all;\"> American Products plans to lay off 10% of its employees in its aerospace division and 15% of its employees in its agricultural division. If altogether 12% of the 3000 employees in these 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 #60916 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=60916\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number of employees in the ag div<BR>\n" );
document.write( "Then 3000-x=number of employees in the aero div\r<BR>\n" );
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document.write( "Now we know that the number of employees laid off in the ag div (0.15x) plus the number of employees laid off in the aero div (0.10)(3000-x) must equal the number of employees laid off altogether (0.12)(3000).  So our equation to solve is:\r<BR>\n" );
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document.write( "0.15x+0.10(3000-x)=0.12(3000) get rid of parens\r<BR>\n" );
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document.write( "0.15x+300-0.10x=360  subtract 300 from both sides\r<BR>\n" );
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document.write( "0.15x-0.10x+300-300=360-300  collect like terms\r<BR>\n" );
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document.write( "0.05x=60  divide both sides by 0.05\r<BR>\n" );
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document.write( "x=1200-----------------------------number of employees in the ag div\r<BR>\n" );
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document.write( "3000-x=3000-1200=1800---------------number of employees in the aero div\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "0.15(1200)+0.10(1800)=0.12(3000)\r<BR>\n" );
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document.write( "180+180=360<BR>\n" );
document.write( "360=360\r<BR>\n" );
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document.write( "Hope this helps--------ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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