document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=258797>Question 258797</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Janet invested $27,000, part at 15% and part at 9%.  If the total interest at the end of the year is $3,390, how much did she invest at 15%?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #190510 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=190510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Janet invested $27,000, part at 15% and part at 9%. If the total interest at the end of the year is $3,390, how much did she invest at 15%? <BR>\n" );
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document.write( "Using two variables:<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "Quantity Equation: x + y = 27000<BR>\n" );
document.write( "Interest Equation:0.15x + 0.09y = 3390<BR>\n" );
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document.write( "Multiply thru the 1st equation by 9<BR>\n" );
document.write( "Multiply thru the 2nd equation by 100<BR>\n" );
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document.write( "9x + 9y = 9*27000<BR>\n" );
document.write( "15x+ 9y = 339000<BR>\n" );
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document.write( "Subtract the 1st from the 2nd and solve for \"x\":<BR>\n" );
document.write( "6x = 96000<BR>\n" );
document.write( "x = $16,000 (amt. invested at 15 %<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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