document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=664187>Question 664187</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A doctor invests a portion of money at 5% and $2500 more than twice as much as 9%. The total annual income from the investments is $1475. Find the amount invested at 5%.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #413437 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=413437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Just in case you are yet in need of a solution...<BR>\n" );
document.write( "Set variables<BR>\n" );
document.write( "x = $ at 5%<BR>\n" );
document.write( "y = $ at 9%<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Given<BR>\n" );
document.write( ".05(x)+.09(y)=1475<BR>\n" );
document.write( "y = 2x+2500<BR>\n" );
document.write( "Substitute the second equation into the first.<BR>\n" );
document.write( "..<BR>\n" );
document.write( ".05x + .09(2x+2500) = 1475<BR>\n" );
document.write( ".05x + .18x + 225 = 1475<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( ".23x = 1475 - 225<BR>\n" );
document.write( ".23x = 1250<BR>\n" );
document.write( "x = $5,434.78 invested at 5%<BR>\n" );
document.write( "........................<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );