document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=319985>Question 319985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You invested money in two funds.  Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received 1047$.  This year the first fund paid a 10% dividend and the second only 1% and you received a total of 846$.  How much money did you invest in each fund?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #229198 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=229198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let $x be invested in first fund<BR>\n" );
document.write( "let $y be invested in second fund\r<BR>\n" );
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document.write( "first fund  9% <BR>\n" );
document.write( "the second  3%, <BR>\n" );
document.write( "received 1047$. <BR>\n" );
document.write( "Last year interest equation <BR>\n" );
document.write( "0.09x+0.03y=1047<BR>\n" );
document.write( "multiply by 100<BR>\n" );
document.write( "9x+3y=104700 ...... equation 1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "This year first fund  10% <BR>\n" );
document.write( "second  1% <BR>\n" );
document.write( "received  846$.  <BR>\n" );
document.write( "This year interest equation<BR>\n" );
document.write( "0.10x+0.01y=846<BR>\n" );
document.write( "multiply by 100<BR>\n" );
document.write( "10x+y=84600 ......... equation 2\r<BR>\n" );
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document.write( "multiply equation 2 by 3 and subtract1 from it<BR>\n" );
document.write( "30x+3y-9x-3y=253800-104700<BR>\n" );
document.write( "21x=149100<BR>\n" );
document.write( "x= $ 7100 investment in first fund\r<BR>\n" );
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document.write( ".. <BR>\n" );
document.write( "10x+y=84600 substitute the value of x<BR>\n" );
document.write( "10*7100+y=84600<BR>\n" );
document.write( "y=84600-71000<BR>\n" );
document.write( "y= $ 13600 investment in second fund. </SPAN>\n" );
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