document.write( "Question 1199592: In a school of 698 students, 172 played basketball, 545 played soccer and 35 played both. How many students played neither one of these games? \n" ); document.write( "
Algebra.Com's Answer #833522 by math_tutor2020(3816)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "B = set of people who play basketball
\n" ); document.write( "S = set of people who play soccer\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "n(B) = number who play basketball
\n" ); document.write( "n(B) = 172
\n" ); document.write( "n(S) = 545
\n" ); document.write( "n(B and S) = 35\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "n(B or S) = n(B) + n(S) - n(B and S)
\n" ); document.write( "n(B or S) = 172+545-35
\n" ); document.write( "n(B or S) = 682\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "n(neither B nor S) = n(Total) - n(B or S)
\n" ); document.write( "n(neither B nor S) = 698 - 682
\n" ); document.write( "n(neither B nor S) = 16\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer: 16
\n" ); document.write( "
\n" ); document.write( "
\n" );