document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=69242>Question 69242</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question:<BR>\n" );
document.write( "Jane invested some amount at the rate of 12% simple interest and some other amount at the rate of 10% simple interest.  She received yearly interest of $130.  Randy also invested in the same scheme, but he interchanged the amounts invested, and received $4 more as interest.  How much amount did each of them invest a different rates?\r<BR>\n" );
document.write( "\n" );
document.write( "So far, I have:<BR>\n" );
document.write( "x(.12) + y(.10)= $130<BR>\n" );
document.write( "x + y = $134 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49275 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley75><B>checkley75(3666)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley75><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=49275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .12X+.10Y=130<BR>\n" );
document.write( ".10X+.12Y=134 OR<BR>\n" );
document.write( ".12X+.10Y-(.10X+.12Y)=-4<BR>\n" );
document.write( ".12X-.10X+.10Y-.12Y=-4<BR>\n" );
document.write( ".02X-.02Y=-4<BR>\n" );
document.write( ".02X=.02Y-4<BR>\n" );
document.write( "X=.02Y/.02-4/.02<BR>\n" );
document.write( "X=Y-200 NOW SUBSTITUTE (Y-200) FOR X IN EITHER EQUATION. THUS:<BR>\n" );
document.write( ".12(Y-200)+.10Y=130<BR>\n" );
document.write( ".12Y-24+.10Y=130<BR>\n" );
document.write( ".22Y=130+24<BR>\n" );
document.write( ".22Y=154<BR>\n" );
document.write( "Y=154/.22<BR>\n" );
document.write( "Y=$700 INVESTED @ 10% TO GET THE $130 INTEREST.<BR>\n" );
document.write( "X=7-200<BR>\n" );
document.write( "X=500 INVESTED @ 12% TO GET $130  INTEREST.<BR>\n" );
document.write( "PROOF<BR>\n" );
document.write( ".10*500+.12*700=134<BR>\n" );
document.write( "50+84=134<BR>\n" );
document.write( "134=134<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );