document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=918239>Question 918239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man has $215,000 invested in three properties. One earns 12%, one 10% and one 8%. His annual income from the properties is $20,600 and the amount invested at 8% is twice that invested at 12%. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556976 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=556976\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> total invested 215000<BR>\n" );
document.write( "total yield 20600<BR>\n" );
document.write( "interest rates 8,10,12<BR>\n" );
document.write( "2 times amount at 12% invested at 8%\r<BR>\n" );
document.write( "\n" );
document.write( "x+y+z=215000<BR>\n" );
document.write( "0.08*x+0.1*y+0.12*z=20600<BR>\n" );
document.write( "x=2z\r<BR>\n" );
document.write( "\n" );
document.write( "3 equations 3 unknowns<BR>\n" );
document.write( "x+y+z=215000,<BR>\n" );
document.write( "2z+y+1z=215000,<BR>\n" );
document.write( "3z+y=215000<BR>\n" );
document.write( "y=215000-3z<BR>\n" );
document.write( "0.08*x+0.1*y+0.12*z=20600<BR>\n" );
document.write( "0.08*2z+0.1*y+0.12*z=20600<BR>\n" );
document.write( "0.16*z+0.1*y+0.12*z=20600<BR>\n" );
document.write( "0.16*z+0.12z+0.1*y=20600<BR>\n" );
document.write( "0.28*z+0.1*y=20600<BR>\n" );
document.write( "2.8*z+1*y=206000<BR>\n" );
document.write( "1*y=206000-2.8*z<BR>\n" );
document.write( "3z+y=215000<BR>\n" );
document.write( "1*y=206000-2.8*z<BR>\n" );
document.write( "1*y=215000-3z<BR>\n" );
document.write( "0=-9000--0.2*z<BR>\n" );
document.write( "-9000=-0.2*z<BR>\n" );
document.write( "-9000/-0.2=z<BR>\n" );
document.write( "45000=z<BR>\n" );
document.write( "z=45000<BR>\n" );
document.write( "1*y=215000-3z<BR>\n" );
document.write( "1*y=215000-3*45000<BR>\n" );
document.write( "1*y=215000-135000<BR>\n" );
document.write( "1*y=80000<BR>\n" );
document.write( "x+y+z=215000<BR>\n" );
document.write( "x+80000+45000=215000<BR>\n" );
document.write( "x=215000-y-z<BR>\n" );
document.write( "x=90000<BR>\n" );
document.write( "x=90000 y=80000 z=45000<BR>\n" );
document.write( "check<BR>\n" );
document.write( "0.08*90000+0.1*80000+0.12*45000= 20600<BR>\n" );
document.write( "7200+8000+5400= 20600<BR>\n" );
document.write( "ok<BR>\n" );
document.write( "codeint3r\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );