document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257069>Question 257069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A survey of residents in a community showed the following<BR>\n" );
document.write( "     information about their lunch eating habits:<BR>\n" );
document.write( "     <BR>\n" );
document.write( "              29 ate salads<BR>\n" );
document.write( "              26 ate sandwiches<BR>\n" );
document.write( "              25 ate sweets<BR>\n" );
document.write( "              13 ate both a salad and a sandwich<BR>\n" );
document.write( "              11 ate both a sandwich and sweets<BR>\n" );
document.write( "              18 ate both a salad and sweets<BR>\n" );
document.write( "               6 ate all three types<BR>\n" );
document.write( "               7 ate none of them\r<BR>\n" );
document.write( "\n" );
document.write( "	How many ate sandwiches and sweets but not a salad? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189084 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=189084\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw a 3 circle Venn diagram and label each circle: salad, sandwich, and sweets.<BR>\n" );
document.write( "PLace a small horizontal line in each space and then one on the outside of the Venn diagram. Numbers will go on these lines.<BR>\n" );
document.write( "step 1 - place 7 on the outside line<BR>\n" );
document.write( "step 2 - ALWAYS start from the \"all three\" number and work your way out.<BR>\n" );
document.write( "6 goes into the center oval<BR>\n" );
document.write( "I have <BR>\n" );
document.write( "7, 6 in the salad - sandwich ovals<BR>\n" );
document.write( "5, 6 in the sandwich, sweets ovals<BR>\n" );
document.write( "12, 6 in the salad, sweets ovals<BR>\n" );
document.write( "All by itself I have 8 sandwich, 2 sweet, and 9 salad<BR>\n" );
document.write( "--<BR>\n" );
document.write( "sandwiches and sweets is: 8 + 7 + 6 + 5 + 2 + 12 = 37<BR>\n" );
document.write( "we minus the overlapping region of salad or 12 + 6 = 18 .<BR>\n" );
document.write( "So, it appears we get 37-18 = 19 people. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );