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. How many like both cold drink and hot drink ?

Open in App

Solution

Let A = Set of people who like cold drink
And, B = Set of people who like hot drink
Given,
$n (A \cup B) = 60$
$n (A) = 27$ and $n (B) = 42$
$n (A \cap B) = n (A) + n (B) - n (A \cup B)$
$n (A \cap B) = 27 + 42 - 60 = 9$
Therefore, 9 people like both cold drink and hot drink.

Suggest Corrections

Similar questions

Q. In a group of 60 people, 27 like coffee, 42 like tea and each person likes at least one of the two drinks. How many like both coffee and tea?

In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many people like both coffee and tea?

Q. In a group of

70

people

37

like coffee,

52

like tea and each person likes at least one of the two drinks. How many people like both cofee and tea?

Q. In a group of

70

people,

37

like coffee,

52

like tea and each person like at least one of the two drinks. How many people like both coffee and tea?

In a group of $70$ people, $37$ like coffee, $52$ like tea and each person like at least one of the two drinks. The number of persons liking both coffee and tea is:

Join BYJU'S Learning Program

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. How many like both cold drink and hot drink ?

Let A = Set of people who like cold drinkAnd, B = Set of people who like hot drinkGiven,n(A∪B)=60n(A)=27 and n(B)=42n(A∩B)=n(A)+n(B)−n(A∪B)n(A∩B)=27+42−60=9Therefore, 9 people like both cold drink and hot drink.

Let A = Set of people who like cold drink
And, B = Set of people who like hot drink
Given,
$n (A \cup B) = 60$
$n (A) = 27$ and $n (B) = 42$
$n (A \cap B) = n (A) + n (B) - n (A \cup B)$
$n (A \cap B) = 27 + 42 - 60 = 9$
Therefore, 9 people like both cold drink and hot drink.