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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?

Q6. 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?

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n(people like coffee) = 37 

n(people like tea ) = 52

Total number of people = 70 

Total number of people = n(people like coffee)  +   n(people like tea )  - n(people like both tea and coffee)

                             70  =  37  +   52 - n(people like both tea and coffee)

n(people like both tea and coffee)  =  89 - 70 

n(people like both tea and coffee)  =  19 

Hence,19 people like both coffee and tea.

 

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