document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203745>Question 1203745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man has $250,000 invested in three properties. One earns 12%, one 10% and one 8%. His annual income from the properties is $23,900 and the amount invested at 8% is twice that invested at 12%.<BR>\n" );
document.write( "(a) How much is invested in each property?<BR>\n" );
document.write( "12%property			$ <BR>\n" );
document.write( "10%property			$ <BR>\n" );
document.write( "8%property			$ \r<BR>\n" );
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document.write( "(b) What is the annual income from each property?<BR>\n" );
document.write( "12%property			$ <BR>\n" );
document.write( "10%property			$ <BR>\n" );
document.write( "8%property			$ <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839552 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=839552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man has $250,000 invested in three properties. \r<BR>\n" );
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document.write( "One earns 12%,  Let investment in this one be $ x\r<BR>\n" );
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document.write( "second at  10% Let investment in this one be $y\r<BR>\n" );
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document.write( "and the amount invested at 8% is twice that invested at 12%.\r<BR>\n" );
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document.write( "Third one 8%.  So amount invested in this one is $ 2x<BR>\n" );
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document.write( " $250,000 invested in three properties. <BR>\n" );
document.write( "x+y+2x =250000<BR>\n" );
document.write( "3x+y = 250 000--------------------------------(1)\r<BR>\n" );
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document.write( "His annual income from the properties is $23,900<BR>\n" );
document.write( "Interest equation\r<BR>\n" );
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document.write( "12%x +10%y + 8%(2x)= 23 900<BR>\n" );
document.write( "0.12x+0.10y +0.16x =23900<BR>\n" );
document.write( "0.28x + 0.10y - 23900----------------------------(2)\r<BR>\n" );
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document.write( "Divide (1) by 10<BR>\n" );
document.write( "0.30x+0.1y =25000<BR>\n" );
document.write( "0.28x + 0.10y - 23900    (from (2)  Subtract\r<BR>\n" );
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document.write( "0.02x =1100<BR>\n" );
document.write( "x = 1100/0.02<BR>\n" );
document.write( "x =55 000\r<BR>\n" );
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document.write( "2x = 110 000\r<BR>\n" );
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document.write( "3x+y =250 000<BR>\n" );
document.write( "3*55000+y = 250 000\r<BR>\n" );
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document.write( "165 000 +y =250 000<BR>\n" );
document.write( "y =85000\r<BR>\n" );
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document.write( "12%property $ 55 000<BR>\n" );
document.write( "10%property $     85 000<BR>\n" );
document.write( "8%property $ 110 000\r<BR>\n" );
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document.write( "Check  \r<BR>\n" );
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document.write( "12%*55000+10%*85000+8%*110000 =23,900\r<BR>\n" );
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document.write( "you can now calculate  the annual income from each property?<BR>\n" );
document.write( "12%property $ <BR>\n" );
document.write( "10%property $<BR>\n" );
document.write( "8%property $\r<BR>\n" );
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