document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185199>Question 1185199</A>: <I><SPAN STYLE=\"word-break: break-all;\"> between her home mortage, car loan, and credit card bill, deena is $117,000 in debt.  Each month, Deeans credit card accumulates 1.5% interest, her car loan 1% interest and her mortage .8% interest.  After one month, her total accumulated interest is $995.00.  The interest on Deena's mortage was $680 more than the interest on her car loan.  How much does she owe on her car loan? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #816001 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=816001\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let M = the mortage amount<BR>\n" );
document.write( "let L = the car loan amount<BR>\n" );
document.write( "let C = the credit card amount.\r<BR>\n" );
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document.write( "M + L + C = 117,000<BR>\n" );
document.write( ".008M + .01L + .015C = 995\r<BR>\n" );
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document.write( "multiply both sides of the first equation by .015 and leave the second equation as is to get:\r<BR>\n" );
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document.write( ".015M + .015L + .015C = 1755<BR>\n" );
document.write( ".008M + .01L + .015C = 995\r<BR>\n" );
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document.write( "subtract the second equation from the first to get:\r<BR>\n" );
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document.write( ".007M + .005L = 760\r<BR>\n" );
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document.write( "you are given that .0008M = .01L + 680<BR>\n" );
document.write( "re-arrange this to get:<BR>\n" );
document.write( ".008M - .01L = 680\r<BR>\n" );
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document.write( "your two equations to solve simultaneously are now:\r<BR>\n" );
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document.write( ".007M + .005L = 760<BR>\n" );
document.write( ".008M - .01L = 680\r<BR>\n" );
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document.write( "multoiply both sides of the first equation by 2 and leave the second equation as is to g et:\r<BR>\n" );
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document.write( ".014M + .01L = 1520<BR>\n" );
document.write( ".008M + .01L = 680\r<BR>\n" );
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document.write( "add the two equations together to get:\r<BR>\n" );
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document.write( ".022M = 2200\r<BR>\n" );
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document.write( "solve for M to get:\r<BR>\n" );
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document.write( "M = 100,000\r<BR>\n" );
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document.write( "this also makes .008M equal to 800\r<BR>\n" );
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document.write( "your two original equations of:\r<BR>\n" );
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document.write( "M + L + C = 117,000<BR>\n" );
document.write( ".008M + .01L + .015C = 995\r<BR>\n" );
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document.write( "become:\r<BR>\n" );
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document.write( "100,000 + L + C = 117,000<BR>\n" );
document.write( "800 + .01L + .015C = 995\r<BR>\n" );
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document.write( "subtract 100,000 from both sides of the first equation and subtract 800 from both sides of the second equation to get:\r<BR>\n" );
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document.write( "L + C = 17,000<BR>\n" );
document.write( ".01L + .015C = 195\r<BR>\n" );
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document.write( "multiply both sides of the first equation by .015 and leave the second equation as is to get:\r<BR>\n" );
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document.write( ".015L + .015C = 255<BR>\n" );
document.write( ".01L + .015C = 195\r<BR>\n" );
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document.write( "subtract the second equation from the first to get:\r<BR>\n" );
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document.write( ".005L = 60\r<BR>\n" );
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document.write( "solve for L to get:\r<BR>\n" );
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document.write( "L = 12,000\r<BR>\n" );
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document.write( "this lets C be equal to 5000 because 100,000 + 12,000 + 5,000 = 117,000\r<BR>\n" );
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document.write( ".008M + .01L + .015C becomes 800 + 120 + 75 = 995\r<BR>\n" );
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document.write( "numbers look good.\r<BR>\n" );
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document.write( "your solution is:\r<BR>\n" );
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document.write( "she owes 12,000 on the car loan.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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