document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1056836>Question 1056836</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An investor deposited some money at 1.5% annual interest and two equal but larger amounts a time 2.2% and 2.4%. The total amount invested was $25000 and the total annual interest earned was $535. How much was invested at each rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #672038 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=672038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the amount at 1.5% be x. Then:<BR>\n" );
document.write( "0.015x+0.022((25000-x)/2)+0.024((25000-x)/2) = 535<BR>\n" );
document.write( "0.022+0.024 = 0.046/2 = 0.023 Now we got rid of the two divisions. Rewrite the equation:<BR>\n" );
document.write( "0.015x+0.023(25000-x) = 535<BR>\n" );
document.write( "0.015x+575-0.023x = 535<BR>\n" );
document.write( "-0.008x = -40 Divide both sides by -0.008 and remember -/- = +<BR>\n" );
document.write( "x = 5000 This is how much was invested at 1.5% The rest, the problem says, was invested in equal amounts:<BR>\n" );
document.write( "25000-5000 = 20000; 20000/2 = 10000 So, 10000 was invested each at 2.2% and 2.4%<BR>\n" );
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document.write( "Happy learning,<BR>\n" );
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document.write( " </SPAN>\n" );
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