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)![]() ![]() ![]() 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( " |