document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1126786>Question 1126786</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jacques borrows a total of $13,500. Part of the money is borrowed from a bank that charges 12% simple interest per year. Jacques borrows the remaining part of the money from his sister and promises to pay her 5% simple interest per year. If Jacques' total interest for the year is $1165, find the amount he borrowed from each source.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #743106 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=743106\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> total 13,500<BR>\n" );
document.write( "one part at 12%, let it be x<BR>\n" );
document.write( "the other, at 5%, will be 13,500 - x<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<BR>\n" );
document.write( "0.12x + 0.05(13,500 - x) = 1,165<BR>\n" );
document.write( "0.12x + 675 - 0.05x = 1,165<BR>\n" );
document.write( "0.07x = 490<BR>\n" );
document.write( "x = 490/0.07<BR>\n" );
document.write( "x = 7,000 he borrowed 7,000 from the bank<BR>\n" );
document.write( "and 13,500 - 7,000 = 6,500 from his sister<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "0.12(7000) + 0.05(6,500) = 1,165<BR>\n" );
document.write( "840 + 325= 1,165 Correct<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );