document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=699501>Question 699501</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the election for the president of the Graduating Class of the University of Central Florida, 3/5 of the seniors voted for Frank, 3/10 for Steve, and 81 for Nicole. How many seniors were there? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #431404 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><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=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=431404\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><font face=\"Tahoma\">I am a graduate of the University of Central Florida!<br>\r<BR>\n" );
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document.write( "In this problem, we need to do a bit of investigation.<br>\r<BR>\n" );
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document.write( "We have three quantities for the different voters:<br>\r<BR>\n" );
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document.write( "3/5, 3/10, and 81<br>\r<BR>\n" );
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document.write( "Let's add up the first two groups and see what we get:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5%2B3%2F10=6%2F10%2B3%2F10=9%2F10 ALIGN=MIDDLE  ALT=\"3%2F5%2B3%2F10=6%2F10%2B3%2F10=9%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "So 9/10 of all the student votes are taken up by the first group.<br>\r<BR>\n" );
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document.write( "Then what percentage of all students is left over for Nicole's group?<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-9%2F10=1%2F10 ALIGN=MIDDLE  ALT=\"1-9%2F10=1%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Now we're getting somewhere.<br>\r<BR>\n" );
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document.write( "We just need to equate this 1/10 figure to the 81 students.<br>\r<BR>\n" );
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document.write( "So let's use x as the TOTAL number of student voters:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F10%29%2Ax=81 ALIGN=MIDDLE  ALT=\"%281%2F10%29%2Ax=81\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=81%2A10 ALIGN=MIDDLE  ALT=\"x=81%2A10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=810 ALIGN=MIDDLE  ALT=\"x=810\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "So the total number of student voters should be 810.<br>\r<BR>\n" );
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document.write( "Let's check this:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F5%29%2A810=486 ALIGN=MIDDLE  ALT=\"%283%2F5%29%2A810=486\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F10%29%2A810=243 ALIGN=MIDDLE  ALT=\"%283%2F10%29%2A810=243\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "and then our final group of 81.  Then:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=486%2B243%2B81=810 ALIGN=MIDDLE  ALT=\"486%2B243%2B81=810\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "This is indeed true, so our final answer is 810 Seniors.<br>\r<BR>\n" );
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document.write( "I hope this helps!  Keep practicing!  :)<br>\r<BR>\n" );
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