document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=852443>Question 852443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A number is increased by 2/5 of its value and then decreased by 2/5 of its new value. What is the ratio of the final value to the original ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #513354 by </B><A HREF=/tutors/aboutme.mpl?userid=JulietG><B>JulietG(1812)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JulietG><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/cgi-bin/show-face.mpl?user=JulietG><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=513354\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's use 100 for the sake of simplicity.<BR>\n" );
document.write( "100 is increased by 40% (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5 ALIGN=MIDDLE  ALT=\"2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "What is the new total?<BR>\n" );
document.write( "140<BR>\n" );
document.write( "140 is now decreased by 40%<BR>\n" );
document.write( "140 * .6 (reciprocal) = 84<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The final ratio is 100:84, or reduced to 25:21\r<BR>\n" );
document.write( "\n" );
document.write( "ETA: I multiplied by .6 because that is the reciprocal of .4.  It's the same as 100% - 40%.  Just did a step in my head.<BR>\n" );
document.write( "Here's without the reciprocal:<BR>\n" );
document.write( "140 is now decreased by 40%.<BR>\n" );
document.write( "140 * .4 = 56<BR>\n" );
document.write( "140 - 56 = 84<BR>\n" );
document.write( ".<BR>\n" );
document.write( "I combined them by subtracting .4 from 1.  Either way works.  Sorry for the confusion. </SPAN>\n" );
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