Question

100 people in a sports centre are surveyed, 36 regularly use the fitness suite and the swimming pool, 57 use the fitness suite and 49 use be swimming pool. Complete the Venn diagram.

Answer 1

Given:

Total number of people = 100

Number of people that use fitness suite n(F) = 57

Number of people that use swimming pool n(S)=49

Number of people that use both swimming pool and fitness suite n(F∩S) = 36

To find:

The venn diagram.

Solution:

Number of people that only use fitness suite n(only F) = 57-36 = 21

Number of people that only use swimming pool n(only S) = 49-36 = 13

Number of people that use both n(F∩S)= 36

Number of people that use fitness suite or swimming pool n(F∪S)= 36+13+21 = 70

Number of people that do nothing [1-n(F∪S)]= 100-70=30

The venn diagram is attached with the answer.