document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203470>Question 1203470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A college is trying to determine a nickname for its sports<BR>\n" );
document.write( "teams, and 4 different nicknames have been proposed.<BR>\n" );
document.write( " 4,783 people are all going to vote, and the nickname that<BR>\n" );
document.write( "receives the highest number of votes will win.<BR>\n" );
document.write( "What is the smallest number of votes that a nickname could<BR>\n" );
document.write( "receive and be declared the winner?\r<BR>\n" );
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document.write( "What I did was divide 4783/4 and I got 1195.75 and I rounded up so therefore it is 1196. My teacher has the correct answer listed as 1197. What did I do wrong?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839058 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52778)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=839058\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A college is trying to determine a nickname for its sports<BR>\n" );
document.write( "teams, and 4 different nicknames have been proposed.<BR>\n" );
document.write( "4,783 people are all going to vote, and the nickname that<BR>\n" );
document.write( "receives the highest number of votes will win.<BR>\n" );
document.write( "What is the smallest number of votes that a nickname could<BR>\n" );
document.write( "receive and be declared the winner?<BR>\n" );
document.write( "What I did was divide 4783/4 and I got 1195.75 and I rounded up so therefore it is 1196. <BR>\n" );
document.write( "My teacher has the correct answer listed as 1197. What did I do wrong?<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Good problem, &nbsp;I &nbsp;like it.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;And good question, &nbsp;I &nbsp;like it, &nbsp;too.\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Your idea to divide 4783 by 4 was right, but the remaining part of reasoning requires more accuracy.\r\n" );
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document.write( "Let's divide the number 4780 by 4: 4780/4 = 1195.\r\n" );
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document.write( "It tells us that if we distribute the votes in 4 boxes uniformly, we can put about 1195 votes in each of 4 boxes.\r\n" );
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document.write( "So, now our task is to distribute 3 remaining votes among 4 boxes in order for to get\r\n" );
document.write( "the winning situation with a UNIQUE winner.\r\n" );
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document.write( "It requires to put the remaining 3 votes in this configuration  (2, 1, 0, 0) or in this (3, 0, 0, 0),\r\n" );
document.write( "placing at least 2 votes in one box in order for a winner be UNIQUE.\r\n" );
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document.write( "It gives the number 1197 as the minimal required number of votes.\r\n" );
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document.write( "Is this reasoning totally clear to you ?\r<BR>\n" );
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document.write( " </SPAN>\n" );
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