document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119394>Question 1119394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bank loaned out &#8203;$20,000<BR>\n" );
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document.write( "part of it at the rate of 6 %<BR>\n" );
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document.write( "per year and the rest at 14 %<BR>\n" );
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document.write( "per year. If the interest received in one year totaled &#8203;$2000<BR>\n" );
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document.write( "how much was loaned at 6 % question mark  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734930 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = amount loaned at 6%.<BR>\n" );
document.write( "y = amount loaned at 14%.\r<BR>\n" );
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document.write( "x + y = 20,000\r<BR>\n" );
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document.write( ".06 * x + .14 * y = 2000\r<BR>\n" );
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document.write( "these 2 equations need to be solved simultaneously.\r<BR>\n" );
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document.write( "multiply both sides of the first equation by .06 and leave the second equation as is to get:\r<BR>\n" );
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document.write( ".06x + .06y = 1200<BR>\n" );
document.write( ".06x + .14y = 2000\r<BR>\n" );
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document.write( "subtract the first equation from the second to get:\r<BR>\n" );
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document.write( ".08y = 800\r<BR>\n" );
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document.write( "solve for y to get y = 800/.08 = 10,000.\r<BR>\n" );
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document.write( "that makes x = 10,000.\r<BR>\n" );
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document.write( "x + y = 20,000 so that part checks out.\r<BR>\n" );
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document.write( ".06 * 10,000 + .14 * 10,000 = 2,000 so that part checks out as well.\r<BR>\n" );
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document.write( "your solution is that 10,000 was loaned out at 6%.\r<BR>\n" );
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