document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=980029>Question 980029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In an election with three candidates for mayor (A, B, and C), the initial vote count gave A 200 more votes than B, and 500 more votes than C. An error was found, and 1% of A's initial votes went to B, and 2% of A's initial votes went to C, such that B had 100 more votes than C. How many votes did each of the three candidates have in the FINAL count. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #601233 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=601233\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> C=x<BR>\n" );
document.write( "B=x+300<BR>\n" );
document.write( "A=x+500\r<BR>\n" );
document.write( "\n" );
document.write( "1% of As votes is 0.01(x+500) or 5+0.01x<BR>\n" );
document.write( "B becomes (x+300)+5+0.01x<BR>\n" );
document.write( "C becomes x)+10+0.02x<BR>\n" );
document.write( "A has been reduced to x+500-15-0.03x\r<BR>\n" );
document.write( "\n" );
document.write( "B and C<BR>\n" );
document.write( "1.01x+305 -100=1.02x+10<BR>\n" );
document.write( "1.01x+205=1.02x +10<BR>\n" );
document.write( "195=0.01x<BR>\n" );
document.write( "multiply both sides by 100<BR>\n" );
document.write( "19,500=x\r<BR>\n" );
document.write( "\n" );
document.write( "Initial count: <BR>\n" );
document.write( "A=20000<BR>\n" );
document.write( "B=19800<BR>\n" );
document.write( "C=19500<BR>\n" );
document.write( "1% of A is 200 votes<BR>\n" );
document.write( "2% is 400 votes<BR>\n" );
document.write( "A had 19400 votes<BR>\n" );
document.write( "B had 20000 votes<BR>\n" );
document.write( "C had 19900 votes<BR>\n" );
document.write( "That is the final result. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );