Question

In a group of 50 students 30 like tea 25 like coffee and 16 like both find (1)either tea or coffee (2)neither tea nor coffee

Answer 1

Number of students that like neither tea or coffee is 11

Total number of students = 50 (Given)

Number of students that like tea = 30  (Given)

Number of students that like coffee = 25  (Given)

Number of students that like both tea and coffee = 16  (Given)

Therefore,

Number of students who like neither tea or coffee =

Total number of students - (Number of students who like tea + Number of students who like coffee - Number of students who like both tea and coffee)

= 50- (30 + 25 - 16)

= 50 - ( 55 - 16)

= 50 - 39

= 11

Hence, the number of students that like neither tea or coffee is 11