document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=393387>Question 393387</A>: <I><SPAN STYLE=\"word-break: break-all;\"> loan= $500,000<BR>\n" );
document.write( "part A = 6% each year<BR>\n" );
document.write( "part B = 11% each year\r<BR>\n" );
document.write( "\n" );
document.write( "if the bank recieves $43,750 in interest each year, how much was loaned at 6%? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #279193 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=279193\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> loan= $500,000<BR>\n" );
document.write( "part A = 6% each year<BR>\n" );
document.write( "part B = 11% each year <BR>\n" );
document.write( "if the bank recieves $43,750 in interest each year, how much was loaned at 6%?<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "Quantity Eq::: x + y = 500,000<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Interest Eq::0.11x + 0.06y = 43,750<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Multiply thru the 1st by 11.<BR>\n" );
document.write( "Multiply thru the 2nd by 100.<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "11x + 11y = 11*500,000<BR>\n" );
document.write( "11x +  6y = 4375000<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Subtract the 2nd from the 1st and solve for \"y\":<BR>\n" );
document.write( "5y = 1,125,000<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = $225,000 (amt. invested at 6%)<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "500,000- 225,000 = 275,000 (amt. invested at 11%<BR>\n" );
document.write( "===============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );