India today conducted a survey if people taking tea/ coffee. Out of 9000 people, 5550 people take tea, 3600 people take coffee and 1500 people take both tea and coffee. How many people take neither tea nor coffee? answer should be 1350
Answers
Answer:
neither tea nor coffee is equal to 1350
Answer:
1350 people drink neither coffee nor tea.
Step-by-step explanation:
Given :- Total number of people = 9000
Number of people that drink tea = 5550
Number of people that drink coffee = 3600
Number of people that drink both tea and coffee = 1500
To Find :- Number of people that drink neither tea nor coffee.
Solution :-
Let U be the set of total number of people.
Let A be the set of people who drink tea.
Let B be the set of people who drink coffee.
∴ set of people who drink both = A ∩ B.
n(U) = 9000, n(A) = 5550, n(B) = 3600, n( A∩B ) = 1500
Number of people that drink neither tea nor coffee
= n(U) − n( A∪B )
= n(U) − [n(A) + n(B) − n( A∩B )]
= 9000 - [5550 + 3600 - 1500]
= 9000 - [9150 - 1500]
= 9000 - 7650
= 1350
Hence, 1350 people drink neither tea nor coffee.
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