document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1017329>Question 1017329</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bank loans out $ 240,000, part of it at the rate of 7% annual mortgage interest rate and the rest at the rate of 16% annual credit card rate. The interest received on both loans totals $21,750. How much was loaned at 7% interest?\r<BR>\n" );
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document.write( "would please?<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 #633636 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=633636\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be the amount lent at 7% and y be the amount lent at 16%, then<BR>\n" );
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document.write( "1) x + y = 240000<BR>\n" );
document.write( "2) 0.07x + 0.16y = 21750<BR>\n" );
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document.write( "solve equation 1 for y<BR>\n" );
document.write( "y = 240000 - x<BR>\n" );
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document.write( "substitute for y in equation 2<BR>\n" );
document.write( "0.07x + 0.16(240000 - x) = 21750<BR>\n" );
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document.write( "solve for x<BR>\n" );
document.write( "0.07x + 38400 - 0.16x = 21750<BR>\n" );
document.write( "-0.09x = -16650<BR>\n" );
document.write( "x = 185000<BR>\n" );
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document.write( "The amount lent at 7% is $185000<BR>\n" );
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document.write( "now check the answer<BR>\n" );
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document.write( "y = 240000 - 185000 = 55000<BR>\n" );
document.write( "now substitute for x and y in equation 2<BR>\n" );
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document.write( "0.07(185000) + 0.16(55000) = 21750<BR>\n" );
document.write( "12950 + 8800 = 21750<BR>\n" );
document.write( "21750 = 21750<BR>\n" );
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document.write( "our answer checks<BR>\n" );
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