document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=840759>Question 840759</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mr. Morton invested $1400, part at 5% and the rest at 8%. His total annual income from these investments was $100. Find the amount he<BR>\n" );
document.write( "invested at each rate.<BR>\n" );
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document.write( "Please help me solve this. I know this much:\r<BR>\n" );
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document.write( "X=amount at 5%<BR>\n" );
document.write( "Y=amount at 8%<BR>\n" );
document.write( "X+Y=100<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #506445 by </B><A HREF=/tutors/aboutme.mpl?userid=hamsanash1981@gmail.com><B>hamsanash1981@gmail.com(151)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=hamsanash1981@gmail.com><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=506445\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  <BR>\n" );
document.write( "x = amount at 5%<BR>\n" );
document.write( "y = amount at 8%\r<BR>\n" );
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document.write( "then X + Y = 1400  ---1<BR>\n" );
document.write( "Let the number of years be 1.<BR>\n" );
document.write( "simple interest of X = (X*1*5)/100 => 5x/100<BR>\n" );
document.write( "Simple interest of Y = (Y*1*8)/100 => 8y/100<BR>\n" );
document.write( "Given that his total annual returns from these investment was 100 then,\r<BR>\n" );
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document.write( "5x/100 + 8y/100 = 100  ---2\r<BR>\n" );
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document.write( "Multiplying equation 2 by 100\r<BR>\n" );
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document.write( "5x + 8y = 10000  ---3\r<BR>\n" );
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document.write( "Solving equ 1 and 3\r<BR>\n" );
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document.write( "  8x + 8y = 11200<BR>\n" );
document.write( "  5x + 8y = 10000<BR>\n" );
document.write( "      ----------------<BR>\n" );
document.write( "      3x      = 1200<BR>\n" );
document.write( "            x = 400<BR>\n" );
document.write( "then Y = 1400 - 400<BR>\n" );
document.write( "Y = 1000\r<BR>\n" );
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document.write( "therefore 400 invested at 5% and 1000 invested at 8%.<BR>\n" );
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