document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=493480>Question 493480</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A plant supervisor reported that of the 20 people being supervised, 16 could operate a lathe, 12 could operate a grinder, 8 could operate a lathe and a bender, 5 could operate all 3 machines. Should the supervisor be believed? Why or why not?\r<BR>\n" );
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document.write( "PLEASE help. I am desperate. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #335362 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=335362\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this is MUCH easier with a Venn Diagram\r<BR>\n" );
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document.write( "\"5 could operate all 3 machines\" ___ 1st group\r<BR>\n" );
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document.write( "\"8 could operate a lathe and a bender\" ___ but 5 of them are from the 1st group, so 3 can operate ONLY lathe and bender<BR>\n" );
document.write( "___ 2nd group\r<BR>\n" );
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document.write( "\"12 could operate a grinder\" ___ but 5 of them are from the 1st group, so 7 can operate ONLY a grinder ___ 3rd group\r<BR>\n" );
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document.write( "\"16 could operate a lathe\" ___ but 5 of them are from the 1st group and 3 of them are from the 2nd group<BR>\n" );
document.write( "___ so 8 can operate ONLY a lathe ___ 4th group\r<BR>\n" );
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document.write( "5 + 3 + 7 + 8 = 23 ___ something is amiss...\r<BR>\n" );
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document.write( "no bender or lathe & grinder or bender & grinder? </SPAN>\n" );
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