Question

2. = {children who go to the park},

T= {children who play tennis},
G= {children who play golf}
120 children go to the park. 50 play tennis. 75 play golf. 25 do not play tennis or golf.
(a) Show this information in the Venn diagram.
[2]
[1]
(b) How many children play both golf and tennis?​

Answer 1

30 Children play both Golf and Tennis

Explanation:

Total no. of children = 120

Number of children playing tennis = T = 50

Number of children playing golf = G = 75

Number of children not playing either = 25

This means number of children playing tennis/or golf = 120 - 25 = 95

So, T ∪ G = 95

So, T∩ G = 50 + 75 - 95

= 125 - 95 = 30

This is the number of children playing both Tennis and Golf

Final data

children playing only tennis = 50 - 30 = 20

children playing only Golf = 75 - 30 = 45

children playing both tennis and golf = 30