document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029771>Question 1029771</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lilian has part of $9000 invested at 4% and the remainder at 6%. His annual return on each investment is the same. At what rate would she have to invest all her money to get the same interest?\r<BR>\n" );
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document.write( "PLEASE USE SYSTEMS OF EQUATIONS AND SHOW YOUR WORK !!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644717 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=644717\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the amount invested at 4%<BR>\n" );
document.write( "0.04x+0.06(9,000-x) = annual return<BR>\n" );
document.write( "0.04x+54-0.06x = annual return<BR>\n" );
document.write( "-0.02x = -54<BR>\n" );
document.write( "x = 2,700 This is the amount invested at 4%<BR>\n" );
document.write( "9,000-2,700 = 6,300 is the amount invested at 6%<BR>\n" );
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document.write( "2700/9000 = 30% is invested at 4%<BR>\n" );
document.write( "100-30 = 70% is invested at 6%<BR>\n" );
document.write( "0.30*0.04 = 0.012<BR>\n" );
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document.write( "0.70*0.06 = 0.042<BR>\n" );
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document.write( "Blended interest: 0.054<BR>\n" );
document.write( "To get the same interest she'd have to invest all her money at 5.4%<BR>\n" );
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