document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=243099>Question 243099</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a recent election between an incumbent and one opponent, the incumbent won by a<BR>\n" );
document.write( "ratio of 7 to 6. If the opponent won 30594 votes, how many votes did the incumbent win? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178118 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=178118\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This can be set up using equal ratios:<BR>\n" );
document.write( "7/6 = 30594/x<BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "7x = 30594*6<BR>\n" );
document.write( "x = 30594*6/7 = 26223.43<BR>\n" );
document.write( "Since you cannot have a partial vote, you can round to 26223.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Note that saying the ratio is 7/6 is very imprecise.<BR>\n" );
document.write( "The concept of significant digits tells us that the number 7 to one significant digit means the value lies between 6.5 and 7.5.  Likewise a value of 6 could be between 5.5 and 6.5.  So a ratio of 7/6 could be as wide a range as 7.5/5.5.  Clearly, 30594/26223 is within this range. </SPAN>\n" );
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