Question

What is the answer to question 3?

Answer 1

45 people do not drink tea

Answer 2

Explanation:

✧
`\underline{ \underline{ \large{ \tt{S\: O \: L \: U \: T \: I\: O \: N}}}} :`

• Let the number of people who drink only tea be n( only T ) , the number of people who drink only coffee be n ( only C ) , the number of people who drink both tea and coffee be n ( T ∩ C ) and the number of people who drink beverages be n ( T ∪ C ).

• We are provided :

1. n ( only T ) = 18
2. n ( only C ) = 33
3. n ( T ∩ C ) = 25
4. n ( T ∪ C ) = 18 + 25 + 33 = 76
5. n ( U ) = 76 + 45 = 121

✧
`\underline{ \underline{ \large\tt{L \: E \:T \:' S \: \: S \: O \: L \: V\: E}}} :`

Number of people who do not drink tea = n ( U ) - n ( only T ) + n ( T ∩ C )

⇾
`\large{ \tt{121 - (18 + 25)}}`

⇾
`\large{ \tt{121 - 43}}`

⇾
`\boxed{\large{ \tt{ 78}}}`

`\boxed{ \boxed{ \tt{Our \: Final \: Answer : \underline{ \text{78}}}}}`

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