Question

Out of 60 people 30 like tea, 25 like coffee and 10 like both. Find the number of people who do not like both drinks. Show the information in a Venn-diagram. *
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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

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Let’s solve this using a venn diagram.

T = Tea

C = Coffee

n means number

n(T) = 30

n(C) = 20

Universal = 60

n(T U C)' = 6 , T union C complement (people who like to drink neither)

Let n(T Π C) i.e. T intersection C (People who like to drink both) = x

n(T) + n(C) - n(T Π C) + n(T U C)' = 60

30 + 20 - x + 6 = 60

56 - x = 60

- x = 60 - 56

-x = 4

x = - 4

Therefore people who like to drink BOTH Tea and Coffee are 6.

People who drink coffee = 20

Thus, People who ONLY drink coffee = 20 - 4= 16 people

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