document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=498038>Question 498038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble setting up the following problem.  I am not sure if the $43,750 is important in this question. \r<BR>\n" );
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document.write( "A bank has loaned out $500,000, part of it at 6% per annum and the rest of it at 11% per annum.  If the bank receives $43,750 in interest each year, how much was loaned at 6%?\r<BR>\n" );
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document.write( "Thank you.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336908 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=336908\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bank has loaned out $500,000, part of it at 6% per annum and the rest of it at 11% per annum. <BR>\n" );
document.write( "If the bank receives $43,750 in interest each year, how much was loaned at 6%?<BR>\n" );
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document.write( "Let x = amt loan out at 6%<BR>\n" );
document.write( "The total was given as $500000, therefore<BR>\n" );
document.write( "(500000-x) = amt loaned out at 11%<BR>\n" );
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document.write( "Write these as decimals<BR>\n" );
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document.write( "6% interest + 11% interest = total interest<BR>\n" );
document.write( ".06x + .11(500000-x) = 43750<BR>\n" );
document.write( ".06x + 55000 - .11x = 43750<BR>\n" );
document.write( ".06x - .11x = 43750 - 55000<BR>\n" );
document.write( "-.05x = -11250<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-11250%29%2F%28-.05%29 ALIGN=MIDDLE  ALT=\"%28-11250%29%2F%28-.05%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = $225,000 loaned out 6%<BR>\n" );
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document.write( "You can confirm this by finding the amt loaned 11% (subtract 225000 from 500000)<BR>\n" );
document.write( "then finding the interest earned on the this, add to the above interest and confirm it total 43750 </SPAN>\n" );
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