document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=974165>Question 974165</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For a parade a teacher arranged all the pupils of his class in rows of 12 and then in rows of 16. He noticed that each time 3 pupils were left out. Calculate the number of pupils in the class </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #596195 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=596195\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The number of pupils minus 3<BR>\n" );
document.write( "is a multiple of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12=4%2A3=2%5E2%2B3 ALIGN=MIDDLE  ALT=\"12=4%2A3=2%5E2%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and is a multiple of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16=2%5E4 ALIGN=MIDDLE  ALT=\"16=2%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So, it is a multiple of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E4%2A3=16%2A3=48 ALIGN=MIDDLE  ALT=\"2%5E4%2A3=16%2A3=48\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "I would bet that the number of pupils minus 3 is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2A48=48 ALIGN=MIDDLE  ALT=\"1%2A48=48\"   DISABLED_style= \"max-width:90%; height:auto;\" > and that the number of pupils is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2B3=51 ALIGN=MIDDLE  ALT=\"48%2B3=51\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "NOTE:<BR>\n" );
document.write( "Of course, it could be that the number of pupils minus 3 is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A48=96 ALIGN=MIDDLE  ALT=\"2%2A48=96\"   DISABLED_style= \"max-width:90%; height:auto;\" > and that the number of pupils is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96%2B3=9 ALIGN=MIDDLE  ALT=\"96%2B3=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "but this is a lot of pupils to have in one class,<BR>\n" );
document.write( "It could be that the number of pupils minus 3 is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A48=154 ALIGN=MIDDLE  ALT=\"3%2A48=154\"   DISABLED_style= \"max-width:90%; height:auto;\" > , or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A48=192 ALIGN=MIDDLE  ALT=\"4%2A48=192\"   DISABLED_style= \"max-width:90%; height:auto;\" > , or ....<BR>\n" );
document.write( "but that would make the number of pupils be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=154%2B3=157 ALIGN=MIDDLE  ALT=\"154%2B3=157\"   DISABLED_style= \"max-width:90%; height:auto;\" > , or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=192%2B3=195 ALIGN=MIDDLE  ALT=\"192%2B3=195\"   DISABLED_style= \"max-width:90%; height:auto;\" > , or ...<BR>\n" );
document.write( "but those are even more ridiculously large numbers of pupils to have in one class.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );