document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=625777>Question 625777</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ho, Lori & Sophia had 39 CDS among them. Ho gave 6 CDs to Lori & Sophia gave 2 CDs to Ho. Finally, Lori gave 3 CDs to Ho. At this point, they each had the same # of CDs. How many CDs did each person originally have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #393902 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=393902\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> when they are done trading CD's, they each have an equal number of CD's.<BR>\n" );
document.write( "since the total number of CD's is equal to 39, this means that they each have 13 CD's.<BR>\n" );
document.write( "Let H = number of CD's that Ho has when they started trading.<BR>\n" );
document.write( "Let L = number of CD's that Lori has when they started trading.<BR>\n" );
document.write( "Let S = number of CD's that Sophia has when they started trading.<BR>\n" );
document.write( "you need to tabulate all the changes from when they started to get their starting numbers.<BR>\n" );
document.write( "For Ho:<BR>\n" );
document.write( "H - 6 + 2 + 3 = H - 1<BR>\n" );
document.write( "H - 1 = 13 means that H = 14 when they started.<BR>\n" );
document.write( "For Lori:<BR>\n" );
document.write( "L + 6 - 3 = L + 3<BR>\n" );
document.write( "L + 3 = 13 means that L = 10 when they started.<BR>\n" );
document.write( "For Sophia:<BR>\n" );
document.write( "S - 2 = S - 2<BR>\n" );
document.write( "S - 2 = 13 means that S = 15 when they started.<BR>\n" );
document.write( "you get:<BR>\n" );
document.write( "Ho had 14 when they started.<BR>\n" );
document.write( "Sophia had 15 when they started.<BR>\n" );
document.write( "Lori has 10 when they started.<BR>\n" );
document.write( "This is summarized as:<BR>\n" );
document.write( "Ho 14 Sophia 15 Lori 10<BR>\n" );
document.write( "Ho gave 6 CDs to Lori.<BR>\n" );
document.write( "Tally is now:<BR>\n" );
document.write( "Ho 8 Sophia 15 Lori 16<BR>\n" );
document.write( "Sophia gave 2 CD's to Ho<BR>\n" );
document.write( "Tally is now:<BR>\n" );
document.write( "Ho 10 Sophia 13 Lori 16<BR>\n" );
document.write( "Lori gave 3 CD's to Ho<BR>\n" );
document.write( "Tally is now:<BR>\n" );
document.write( "Ho 13 Sophia 13 Lori 13<BR>\n" );
document.write( "They're done and they all have the same number of CD's.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );