document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184071>Question 1184071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bank loaned out $9,000, part of it at the rate of 12% annual interest, and the rest at 14% annual interest. The total interest earned for both loans was $1,110.00. How much was loaned at each rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814677 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=814677\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let A = amount invested at 12%.<BR>\n" );
document.write( "let B = amount invested at 14%.\r<BR>\n" );
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document.write( "your two equations that need to be solved simultaneously are:\r<BR>\n" );
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document.write( "A + B = 9000<BR>\n" );
document.write( ".12A + .14B = 1110\r<BR>\n" );
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document.write( "multiply both sides of the first equation by .12 and leave the second equation as is to get:\r<BR>\n" );
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document.write( ".12A + .12B = 1080<BR>\n" );
document.write( ".12A + .14B = 1110\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( ".02B = 30\r<BR>\n" );
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document.write( "solve for B to get:\r<BR>\n" );
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document.write( "B = 30/.02 = 1500\r<BR>\n" );
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document.write( "since A + B = 9000, then A must be equal to 9000 - 1500 = 7500\r<BR>\n" );
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document.write( "A + B = 9000 becomes 7500 + 1500 = 9000 which is true.<BR>\n" );
document.write( ".12A + .14B = 1110 becomes 900 + 210 = 1110 which is also true.\r<BR>\n" );
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document.write( "the solution is confirmed to be good.\r<BR>\n" );
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document.write( "the solution is that 7500 was loaned at 12% and 1500 was loaned at 14%.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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