document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=53480>Question 53480</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a person invested $10,000 .the greater part is invested at 6% and the remainer at 5%  . the annual income from the greater part is $160 more than the annual income from the smaller part. what is the smaller part of this investment?  i got $4,000 is this right </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #35715 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=35715\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A person invested $10,000 .the greater part is invested at 6% and the remainer at 5% . the annual income from the greater part is $160 more than the annual income from the smaller part. what is the smaller part of this investment?<BR>\n" );
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document.write( "6% investment DATA:<BR>\n" );
document.write( "Let amount invested be \"x\" ; Interest on this money is 0.06x<BR>\n" );
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document.write( "5% investment DATA:<BR>\n" );
document.write( "Amount invested at 5% is \"10000-x\" ; interest on this money is <BR>\n" );
document.write( "0.05(10000-x) = 500-0.05x<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "Assuming that \"x\" yields the smaller amount you get the follows:<BR>\n" );
document.write( "500-0.05x=0.06x+160<BR>\n" );
document.write( "0.11x=340<BR>\n" );
document.write( "x=$3090.91 (amount invested at 6%)<BR>\n" );
document.write( "10000-x = $6909.09 (amount invested at 5%)<BR>\n" );
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document.write( "ANOTHER EQUATION:<BR>\n" );
document.write( "If you assume 10000-x is the<BR>\n" );
document.write( "Assuming that \"10000-x\" yields the smaller amount you get:<BR>\n" );
document.write( "0.06x=500-0.05x+160<BR>\n" );
document.write( "0.11x=660<BR>\n" );
document.write( "x=$6000<BR>\n" );
document.write( "10000-x= $4000\r<BR>\n" );
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document.write( "Since the greater part is invested at 6% the 2nd equation<BR>\n" );
document.write( "is the applicable equation.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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