document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140169>Question 1140169</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If there are five people in a room. 3 of them are studying math. 4 people are studying<BR>\n" );
document.write( "science. How many people are studying both math and science, if one person is<BR>\n" );
document.write( "studying neither math nor science? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #760658 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=760658\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a Venn diagram with 2 intersecting<BR>\n" );
document.write( "circles. There is 1 person outside of both circles<BR>\n" );
document.write( "( math and science circles ), so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+-+1+=+4+ ALIGN=MIDDLE  ALT=\"+5+-+1+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "are in the circles. Label as follows:<BR>\n" );
document.write( "X = only studies math<BR>\n" );
document.write( "Y = studies both <BR>\n" );
document.write( "Z = only studies science<BR>\n" );
document.write( "(1) X + Y + Z = 4<BR>\n" );
document.write( "(2) X + Y = 3 ( given )<BR>\n" );
document.write( "(3) Y + Z = 4 ( given )<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "From (1) and (3), X must be zero<BR>\n" );
document.write( "So, from(2), Y = 3 , and plug this into (3)<BR>\n" );
document.write( "Z = 1<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "So, 3 people are studying both.<BR>\n" );
document.write( "Get another opinion if needed<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );