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3 years ago

(b) In a group of 140 people, 74 like tea, 104 like milk and each person likes at least one of the two drinks.

Mathematics

2 answers:

Stels [109]3 years ago

5 0

Answer:

How many people like both drinks?

To find the overlap, we can do (104 + 74) - 140 = 38.

How many people like tea only?

To find this, we can do 74 - 38 = 36.

How many people like milk only?

To find this, we can do 104 - 38 = 66.

ziro4ka [17]3 years ago

5 0

Answer:

Step-by-step explanation:

A = Number of people who likes tea

B = Number of people who likes milk

Total people = n(A U B) = 140

(i) n(AUB) = n(A) + n(B) - n(A ∩B)

n(A∩B) = n(A) + n(B) - n(A ∪B)

n(A∩B) = 74 + 104 - 140

= 178 - 140

n(A∩B) = 38

Number of people who likes both tea and milk = 38

(ii)Number of people who likes tea only = n(A) - n(A∩B)

= 74 - 38

= 36

(iii) Number of people who likes milk only = n(B) -n(A∩B)

= 104 - 38

= 66

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