document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166704>Question 166704</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sarah borrowed $6000, part at 15.5% and the rest at 14.25%. At the end of 3 years and 6 months, he had paid $3150 in simple interest. How much did he borrow 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 #122896 by </B><A HREF=/tutors/aboutme.mpl?userid=aswathytony><B>aswathytony(47)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=aswathytony><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=122896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Amount borrowed  = $6000\r<BR>\n" );
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document.write( "if she borrowed 'x' at 15.5% , rest is 6000 - x and borrowed at 14.25%\r<BR>\n" );
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document.write( "simple interest = p*n*r / 100     n = 3yrs + 6m = 3+ 1/2 yrs = 7/2 yrs\r<BR>\n" );
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document.write( "    3150  = x * 7/2 * 15.5 /100 + (6000 - x ) * 7/2 * 14.25 /100 <BR>\n" );
document.write( "         = 0.5425 x + (6000 -x) *0.4988<BR>\n" );
document.write( "         = 0.5425x + 6000 *0.4988 -0.4988x<BR>\n" );
document.write( "         =  0.0437 x + 2992.8<BR>\n" );
document.write( "3150 -2992.8 =  0.0437 x<BR>\n" );
document.write( " 157.2 =0.0437x<BR>\n" );
document.write( "  x  = 157.2/0.0437  = 3597.25\r<BR>\n" );
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document.write( "Amount she borrowed at 15.5% = $ 3597.25 \r<BR>\n" );
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document.write( "Amount she borrowed at 14.25 % =  6000 - 3597.25 <BR>\n" );
document.write( "                               =  $ 2402.75   </SPAN>\n" );
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