In a group of 60 people, 27 like cold drinks and 42 like hot drinks and each person like at least one of the two drinks. How many like both coffee and tea?
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In a group of 60 people, 27 like cold drinks and 42 like hot drinks and each person likes at least one of the two drinks. How many like both cold drink and hot drink ? Therefore, 9 people like both cold drink and hot drink.
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9 People
Given:
The total number of people that are there(A ∪ B) = 60
The set of the people who drink cold drinks n(A) = 27
The set of people who drink hot drinks n(B) = 42
To Find:
The number of people who like both coffee and tea.
Calculating:
To calculate we use the formula:
n(A ∩ B) = n(A) + n(B) - n(A ∪ B)
Substituting all the values known to us in this formula we get:
= 27 + 42 - 60
= 69 - 60
= 9
Therefore, there are 9 people in the group who like both coffee and tea.
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