document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=551377>Question 551377</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2000 students in the whole school and only 55 of 90 students are buying yearbooks approximately how many books should be orderd? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852294 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52965)</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=852294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "2000 students in the whole school and only 55 of 90 students are buying yearbooks approximately. <BR>\n" );
document.write( "How many books should be ordered ?<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Tutor &nbsp;@Theo solved this problem in his post, &nbsp;but I came to present my solution\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;and some additional thoughts about the rounding of final number.\r<BR>\n" );
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document.write( "Similar as @Theo did in his post, you apply the ratio of 55/90 to 2000 to get \r\n" );
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document.write( "    55/90 * 2000 = 1222.2222 students requiring books.\r\n" );
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document.write( "Formal rule says to round to 1222, but the common sense says to round to 1223.\r\n" );
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document.write( "Which way will you prefer ?  My common sense tells me to round to 1223.\r\n" );
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document.write( "Potentially, there are 1222.222 students, who want to buy yearbooks, \r\n" );
document.write( "and if the school wants to serve everyone of potential buyers, the school should have 1223 textbooks in the store.\r\n" );
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document.write( "This problem illustrates that in some cases common sense &nbsp;OVERLAYS &nbsp;the formal rules.\r<BR>\n" );
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document.write( "This statement can be re-phrased in other words: &nbsp;some problems &nbsp;DICTATE &nbsp;to round <BR>\n" );
document.write( "differently than the formal rules.\r<BR>\n" );
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document.write( "It is worth to learn, &nbsp;and this problem is a good example.\r<BR>\n" );
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document.write( "In this problem, &nbsp;a reasonable mathematical answer says that, based on given data, <BR>\n" );
document.write( "the school should order &nbsp;<U>at least</U> &nbsp;1223 &nbsp;yearbooks.\r<BR>\n" );
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document.write( "Interesting fact:\r<BR>\n" );
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document.write( "Today, &nbsp;Oct.14, &nbsp;2025, &nbsp;I submitted this problem to &nbsp;Google &nbsp;AI &nbsp;(\" Overview AI \").\r<BR>\n" );
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document.write( "It was interesting to me, &nbsp;how this &nbsp;AI &nbsp;will treat this problem.\r<BR>\n" );
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document.write( "It created the answer exactly as in the post by &nbsp;@Theo.\r<BR>\n" );
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document.write( "It is very natural, &nbsp;since &nbsp;Google &nbsp;AI &nbsp;is not able to think: &nbsp;&nbsp;it is programmed <BR>\n" );
document.write( "to rewrite from its database solutions, &nbsp;and it is all what it really can do in Math problems.\r<BR>\n" );
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document.write( "Naturally, &nbsp;1222 &nbsp;is the lame answer.\r<BR>\n" );
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document.write( "I reported to them via their feedback system.<BR>\n" );
document.write( "Hope, &nbsp;in the feature, &nbsp;Google &nbsp;AI &nbsp;will be more smart, having my solution in its database.\r<BR>\n" );
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document.write( "It is why I am checking the solutions by other tutors and fix/correct them, &nbsp;when required.<BR>\n" );
document.write( "Otherwise, &nbsp;thousands of students will have millions defective solutions from &nbsp;Artificial &nbsp;Intelligence,<BR>\n" );
document.write( "so, &nbsp;their mind and their common sense will be injured by the &nbsp;AI,<BR>\n" );
document.write( "while this &nbsp;AI &nbsp;will be beaten by the competitors.\r<BR>\n" );
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document.write( "I am a devoted partner of artificial intelligence, &nbsp;and I work tirelessly <BR>\n" );
document.write( "to ensure that the solutions to &nbsp;Math problems in its database are correct.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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