document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42233>Question 42233</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lay Offs Looming.  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 divisions will be laid off.  Then how many employees are in each division?\r<BR>\n" );
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document.write( "(A friend had this problem handwritten so I'm not sure if it came from a specific book or not, but I couldn't help her.)\r<BR>\n" );
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document.write( "12% of 3000 = 12/100 x 3000/1 = 360 (people)<BR>\n" );
document.write( "10x + 15y = 360 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27377 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27377\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well you're almost there...first the 10 and 15 need to be written as decimals...and what you need to figure in is that x + y = 3000...so that y = 3000 - x and<BR>\n" );
document.write( ".10x + .15y = 360 becomes<BR>\n" );
document.write( ".10x + .15(3000 - x) = 360<BR>\n" );
document.write( ".10x + 450 - .15x = 360<BR>\n" );
document.write( "-.05x = -90<BR>\n" );
document.write( "x = 90 / .05 = 1800<BR>\n" );
document.write( "thus<BR>\n" );
document.write( "1800 people laid off in aerospace and<BR>\n" );
document.write( "1200 laid of in agriculture </SPAN>\n" );
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