document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=355110>Question 355110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A corporation borrows $900,000 to expand its line of clothing.  Some of the money is borrowed at 10%, some at 8% and at 9%.  The annual interest payment to the lenders is $133,000.  The amount borrowed at 8% is four times the amount borrowed at 10% .  How much is borrowed at each rate ? \r<BR>\n" );
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document.write( "Can someone please help me solve this problem ? <BR>\n" );
document.write( "Thank you so much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #253640 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=253640\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A corporation borrows $900,000 to expand its line of clothing. Some of the money is borrowed at 10%, some at 8% and at 9%. The annual interest payment to the lenders is $133,000. The amount borrowed at 8% is four times the amount borrowed at 10% . How much is borrowed at each rate ? <BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "Quantity Eq.::: x + y + z = 900,000 dollars<BR>\n" );
document.write( "Interest Eq.:::0.10x + 0.08y +0.09z = 133000<BR>\n" );
document.write( "Quantity Eq.:::y = 4x<BR>\n" );
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document.write( "Substitute 4x for y:<BR>\n" );
document.write( "x + 4x + z = 900,000<BR>\n" );
document.write( "0.10x + 0.08(4x) + 0.09z = 133000<BR>\n" );
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document.write( "Simplify:<BR>\n" );
document.write( "5x + z = 900,000<BR>\n" );
document.write( "0.42x+0.09z = 133000<BR>\n" );
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document.write( "Multiply thru the 1st Eq. by 42.<BR>\n" );
document.write( "Multiply thru the 2nd Eq. by 500<BR>\n" );
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document.write( "210x + 42z = 42*900,000<BR>\n" );
document.write( "210x + 45z = 500*133000<BR>\n" );
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document.write( "Comment: Those equation conditions result<BR>\n" );
document.write( "in negative variable values.<BR>\n" );
document.write( "Please check the wording of your problem.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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