Answered

Venn Diagram:

In a school all of the 120 pupils must choose at least one of Archery, Badminton or Cycling.

63 pupils choose archery

62 pupils choose badminton

69 pupils choose cycling

28 pupils choose archery ad badminton

27 pupils choose archery and cycling

32 pupils choose badminton and cycling


Find the centre value (x)

Verified Answer :

RhysH

Cycling = 69 - (32 + 27) = 69 -59 = 10
Badminton = 62 - (32+28) = 62 - 60 =2
Archery = 63 - (27 + 28) = 63 - 55 = 8

Total for 1 sport = 10 + 2 + 8 = 20

Pupils left = 120 - 20 = 100

Pupils that picked two sports = 27 + 28 + 32 = 87
Number of pupils to pick all sports = 100 - 87 = 13

13 pupils picked all three

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