document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62082>Question 62082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Partners in a business agreed to take out 2 loans totaling $35000.  The yearly interest rates were 12% and 15% and the total yearly interest was $4650. Find the amount of each loan.<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 #42933 by </B><A HREF=/tutors/aboutme.mpl?userid=303795><B>303795(602)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=303795><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=42933\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Partners in a business agreed to take out 2 loans totaling $35000.  The yearly interest rates were 12% and 15% and the total yearly interest was $4650. Find the amount of each loan.\r<BR>\n" );
document.write( "\n" );
document.write( "Let the amount of the loan taken out by the first person be x. The amount taken out by the second person is the rest of the 35000 ie 35000 - x.\r<BR>\n" );
document.write( "\n" );
document.write( "The interest paid by the first person must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2F100%29+%2A+x ALIGN=MIDDLE  ALT=\"%2812%2F100%29+%2A+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The interest paid by the second person must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815%2F100%29+%2A+%2835000+-+x%29 ALIGN=MIDDLE  ALT=\"%2815%2F100%29+%2A+%2835000+-+x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "The total interest paid will be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2F100%29+%2A+x+%2B+%2815%2F100%29+%2A+%2835000+-+x%29+=+4650 ALIGN=MIDDLE  ALT=\"%2812%2F100%29+%2A+x+%2B+%2815%2F100%29+%2A+%2835000+-+x%29+=+4650\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides of the equation by 100<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12+%2A+x+%2B+15+%2A+%2835000+-+x%29+=+4650+%2A+100 ALIGN=MIDDLE  ALT=\"12+%2A+x+%2B+15+%2A+%2835000+-+x%29+=+4650+%2A+100\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply out the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15+%2A+%2835000+-+x%29 ALIGN=MIDDLE  ALT=\"15+%2A+%2835000+-+x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x+%2B+525000+-+15x+=+465000 ALIGN=MIDDLE  ALT=\"12x+%2B+525000+-+15x+=+465000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Collate like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x+%2B+525000+=+465000 ALIGN=MIDDLE  ALT=\"-3x+%2B+525000+=+465000\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Subtract 525000 from each side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x+%2B+525000+-+525000+=+465000+-+525000 ALIGN=MIDDLE  ALT=\"-3x+%2B+525000+-+525000+=+465000+-+525000\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x++=+-+60000 ALIGN=MIDDLE  ALT=\"-3x++=+-+60000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide each side by -3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3x%29%2F-3++++=+++%28-+60000%29+%2F+-3 ALIGN=MIDDLE  ALT=\"%28-3x%29%2F-3++++=+++%28-+60000%29+%2F+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x= $20 000 The rest of the $35 000 loan is held by the second person ie $15 000.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the first person has a loan of $20 000 and the second person has a loan of $15 000. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );