document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82665>Question 82665</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131492594/algebrahomeworkh>Introductory & Intermediate Algebra for College Students</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A person invested $6,700 for one year, part at 8%, part at 10% and the remainder at 12%.  The total annual income from these investments was $716.  The amount of money invested at 12% was $300 more than the amount invested at 8% and 10% combined.  Find the amount invested 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 #59261 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=59261\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A person invested $6,700 for one year, part at 8%, part at 10% and the remainder at 12%.  The total annual income from these investments was $716.  The amount of money invested at 12% was $300 more than the amount invested at 8% and 10% combined.  Find the amount invested at each rate.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Let the amt at 8% be x; at 10% be y; at 12% be z:<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Then: <BR>\n" );
document.write( "x     +  y    + z     = 6700<BR>\n" );
document.write( "0.08x + 0.10y + 0.12z = 716<BR>\n" );
document.write( "x     +  y    - z     = -300<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Solution: <BR>\n" );
document.write( "x= $1200<BR>\n" );
document.write( "y= $2000<BR>\n" );
document.write( "z= $3500<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );