Question

At a brunch buffet, 93 people chose coffee for their beverage and 47 people chose juice. 25 people chose both coffee and juice. If each person chose at least one of these beverages, find how many people visited the buffet using Venn diagram?
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Answer 1

115 people visited the Brunch Buffet.

Given,

People who chose Coffee = 93

People who chose Juice = 47

People who chose Coffee and Juice both = 25

To Find,

Total number of people

Solution,

We know the formula,

n(A) + n(B) - n(A ∩ B) = n(A ∪ B)

In this case, Let A be Coffee and B be Juice

n(A) = 93

n(B) = 47

n(A ∩ B) = 25

The total number of people would be given by n(A ∪ B)

n(A) + n(B) - n(A ∩ B) = n(A ∪ B)

93 + 47 - 25 = n(A ∪ B)

n(A ∪ B) = 115

Thus, the total number of people were 115.

The Venn diagram has been attached.

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