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A party is attended by 61 people. It was identified that 20 attendees drink tea but not coffee and 16 of them drink both tea and coffee. How many attendees drink only coffee and not tea?

A party is attended by 61 people. It was identified that 20 attendees drink tea but not coffee and 16 of them drink both tea and coffee. How many attendees drink only coffee and not tea? Correct Answer 25

Given:

Total number of attended people = 61

The total number of attendees who drink tea but not coffee = 20

The total number of attendees who drink tea and coffee = 16

Calculation:

The Venn diagram according to the question is:

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The total number of attendees who drink both tea and coffee = 36 - 20 = 16

The total number of attendees who drink only coffee and not tea = Total number of attended people - (Total number of attendees who drink tea but not coffee + The total number of attendees who drink both tea and coffee)

⇒ 61 - (20 + 16)

⇒ 61 - 36

⇒ 25

∴ The total number of 25 attendees drink only coffee and not tea.

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