In detail

Sport at school

Sport at school

In a group of 230 students of a school there are:

  • 15 who practice football, athletics and basketball.
  • 23 who practice soccer and basketball.
  • 36 who practice athletics and basketball.
  • 28 who practice athletics and soccer.
  • 61 who practice football.
  • 64 who practice basketball.
  • 75 who practice athletics.

How many students do not practice any sport?

Solution

There are 102 students who do not practice any sport.

  • 23-15 = 8 students who practice soccer and basketball.
  • 28-15 = 13 students who practice soccer and athletics.
  • 36-15 = 21 students who practice basketball and athletics.
  • 15 students practice all three sports.
  • 40 students practice football.
  • 35 practice basketball.
  • 41 practice athletics.
  • 61- (8 + 15 + 13) = 25 students who practice football.
  • 64- (8 + 15 + 21) = 20 students who practice basketball.
  • 75- (13 + 15 + 21) = 26 students who practice athletics.
  • 13 + 21 + 15 + 8 = 57 students who practice two or more sports.
  • 57 + 20 + 25 + 26 = 128 students who practice sports.
  • 230-128 = 102 students who do not practice sports.