document.write( "Question 941042: In a class of 32 pupils:
\n" ); document.write( "5 pupils live in New Town, travel to school by bus and eat school dinners.
\n" ); document.write( "3 pupils live in New Town, travel to school by bus but do not eat school dinner.s
\n" ); document.write( "9 pupils do not live in New Town, do not travel to school by bus and do not eat school dinners.
\n" ); document.write( "11 pupils live in New Town and have school dinners.
\n" ); document.write( "16 pupils live in New Town.
\n" ); document.write( "9 pupils travel by bus and eat school dinners.
\n" ); document.write( "13 pupils travel by bus.
\n" ); document.write( "How many pupils eat school dinners? \n" ); document.write( "
Algebra.Com's Answer #573590 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
I do this with a Venn diagram, which is 3 intersecting
\n" ); document.write( "circles. When you draw them, you create 7 regions
\n" ); document.write( "including the center which is the intersection of
\n" ); document.write( "all 3 circles
\n" ); document.write( "------------------------
\n" ); document.write( "I label them:
\n" ); document.write( "N: live in Newtown
\n" ); document.write( "B: travel by bus
\n" ); document.write( "D: eat school dinners
\n" ); document.write( "---------------------
\n" ); document.write( "(1)
\n" ); document.write( "5 pupils live in New Town, travel to school by bus and eat school dinners.
\n" ); document.write( "That is the intersection of the 3 circles label it \"+5+\"
\n" ); document.write( "(2)
\n" ); document.write( "3 pupils live in New Town, travel to school by bus but do not eat school dinners
\n" ); document.write( "Label that region \"+3+\"
\n" ); document.write( "(3)
\n" ); document.write( "9 pupils do not live in New Town, do not travel to school by bus and do not eat school dinners.
\n" ); document.write( "This is outside all 3 circles. Put a \"+9+\" outside them
\n" ); document.write( "(4)
\n" ); document.write( "11 pupils live in New Town and have school dinners.
\n" ); document.write( "This is the intersection of N and D. Add \"+6+\" to the \"+5+\" in the center, and
\n" ); document.write( "put it in the other common region to N and D
\n" ); document.write( "(5)
\n" ); document.write( "16 pupils live in New Town.
\n" ); document.write( "Just write \"+N+=+16+\" for the label for circle N
\n" ); document.write( "(6)
\n" ); document.write( "9 pupils travel by bus and eat school dinners.
\n" ); document.write( "Add \"+4+\" to the \"+5+\" in the center and put it in the other
\n" ); document.write( "region common to B and D
\n" ); document.write( "(7)
\n" ); document.write( "13 pupils travel by bus.
\n" ); document.write( "Just write \"+B+=+13+\" for the label for circle B
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "Now you have to figure out values for the unknown regions
\n" ); document.write( "Pupils who ONLY live in Newtown = 2
\n" ); document.write( "Pupils who ONLY ride the bus = 1
\n" ); document.write( "-------------------------------
\n" ); document.write( "To figure out those who only eat school dinners:
\n" ); document.write( "\"+32+=+9+%2B+16+%2B+5+%2B+x+\"
\n" ); document.write( "\"+x+=+2+\"
\n" ); document.write( "2 pupils ONLY eat school dinners
\n" ); document.write( "---------------
\n" ); document.write( "Those who eat school dinners:
\n" ); document.write( "\"+6+%2B+5+%2B+4+%2B+2+=+17+\"
\n" ); document.write( "17 pupils eat school dinners
\n" ); document.write( "---------------------------
\n" ); document.write( "Hope you can follow this by drawing your
\n" ); document.write( "own Venn diagram\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );