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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.

 

Posted by

seema garhwal

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