document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=160209>Question 160209</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sum of $37,500 is invested, part of it at 11% annual interest and the remainder at 8% annual interest. If the yearly interest from the 11% investment is $303 less than twice the interest from the 8% investment, how much is invested at each interest rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118137 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=118137\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .11x=2[.08(37,500-x)]-303<BR>\n" );
document.write( ".11x=2[(3000-.08x)]-303<BR>\n" );
document.write( ".11x=6000-.16x-303<BR>\n" );
document.write( ".11x+.16x=5697<BR>\n" );
document.write( ".27x=5697<BR>\n" );
document.write( "x=5697/.27<BR>\n" );
document.write( "x=21,100 invested @ 11%.<BR>\n" );
document.write( "37,500-21,100=16,400 invested @ 8%<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( ".11*21,100=2(.08*16,400)-303<BR>\n" );
document.write( "2,321=2*1,312-303<BR>\n" );
document.write( "2,321=2,624-303<BR>\n" );
document.write( "2,321=2,321 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );