document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=669994>Question 669994</A>: <I><SPAN STYLE=\"word-break: break-all;\"> at a school 2/3 of the students are taking chemistry, 1/3 of the remaining students are taking physics, and the rest are taking biology. no student is taking more than one science class. if 66 students are taking biology, how many students are in the class?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416704 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=416704\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the number of students in the class<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "2/3 take chemistry, so there are 1/3 remaining<BR>\n" );
document.write( "1/3 of those take physics, and that is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F3%29%2A%281%2F3%29+=+1%2F9+ ALIGN=MIDDLE  ALT=\"+%281%2F3%29%2A%281%2F3%29+=+1%2F9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the students<BR>\n" );
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document.write( "So far I have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%2F3%29%2An+%2B+%281%2F9%29%2An+=+%287%2F9%29%2An+ ALIGN=MIDDLE  ALT=\"+%282%2F3%29%2An+%2B+%281%2F9%29%2An+=+%287%2F9%29%2An+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That means there is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+-+%287%2F9%29%2An+=+%282%2F9%29%2An+ ALIGN=MIDDLE  ALT=\"+n+-+%287%2F9%29%2An+=+%282%2F9%29%2An+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "students remaining.<BR>\n" );
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document.write( "I am told that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%2F9%29%2An+=+66+ ALIGN=MIDDLE  ALT=\"+%282%2F9%29%2An+=+66+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%289%2F2%29%2A66+ ALIGN=MIDDLE  ALT=\"+n+=+%289%2F2%29%2A66+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+297+ ALIGN=MIDDLE  ALT=\"+n+=+297+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are 297 students in the class<BR>\n" );
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document.write( "check:<BR>\n" );
document.write( "2/3 take chemistry<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%2F3%29%2A297+=+198+ ALIGN=MIDDLE  ALT=\"+%282%2F3%29%2A297+=+198+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+297+-+198+=+99+ ALIGN=MIDDLE  ALT=\"+297+-+198+=+99+\"   DISABLED_style= \"max-width:90%; height:auto;\" > remaining<BR>\n" );
document.write( "1/3 of those take physics<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F3%29%2A99+=+33+ ALIGN=MIDDLE  ALT=\"+%281%2F3%29%2A99+=+33+\"   DISABLED_style= \"max-width:90%; height:auto;\" > take physics<BR>\n" );
document.write( "There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+99+-+33+=+66+ ALIGN=MIDDLE  ALT=\"+99+-+33+=+66+\"   DISABLED_style= \"max-width:90%; height:auto;\" > remaining<BR>\n" );
document.write( "and they take biology.<BR>\n" );
document.write( "OK<BR>\n" );
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