document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86184>Question 86184</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618394370/algebrahomeworkh>COLLEGE ALGEBRA, A TEXTBOOK APPROACH</A><BR>\n" );
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document.write( "I have been \"racking\" my brain and wasting a lot of scratch paper over this one.  I just can't seem toA small corporation borrowed $775,000 to expand it's software line.  Some of the money was borrowed at 8%, some at 9%, and some at 10%.  How much was borrowed at each rate if the annual interest was $67,000 and the amount borrowed at 8% was four times the amount borrowed at 10%?<BR>\n" );
document.write( " visualize the format.  Thanks in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62299 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=62299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A small corporation borrowed $775,000 to expand it's software line. Some of the money was borrowed at 8%, some at 9%, and some at 10%. How much was borrowed at each rate if the annual interest was $67,000 and the amount borrowed at 8% was four times the amount borrowed at 10%? <BR>\n" );
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document.write( "Let amt. borrowed at 10% be x; interest on this is 0.10x dollars<BR>\n" );
document.write( "Amt. borrowed at 8% is 4x; interest on this is 0.08(4x)=.32x dollars<BR>\n" );
document.write( "Amt. borrowed at 9% is \"775,000-5x\"; interest is 0.09(775,000-5x) = 69750-0.45x<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "interest + interest + interest = 67000<BR>\n" );
document.write( "0.10x + .32x +69750-0.45x = 67000<BR>\n" );
document.write( "10x + 32x + 6975000 -45x = 6700000<BR>\n" );
document.write( "-3x = -275000<BR>\n" );
document.write( "x=$91,666.67 (amt. borrowed at 10%)<BR>\n" );
document.write( "4x=$366,666.67 (amt. borrowed at 8%<BR>\n" );
document.write( "777,000-5x = $316,666.66 (amt. borrowed at 9%)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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