Question

In a group of 60 people, 27 like cold drinks and 42 like hot drinks and each person likes at least one of the two drinks. Determine how many like both cold drinks and hot drink?

Answer 1

Answer:

9

Step-by-step explanation:

let A be set people who like cold drinks

and B be set of people who like hot drinks.

n(A) = 27

n(B) = 42

n(A U B) = 60

n (A intersection B) = number of people who like both cold drinks and hot drinks

n(A intersection B) = n(A)+ n(B) - n( A U B)

n(A intersection B) = 27+42-60

= 9

9 people likes both cold drinks and hit drinks.