In a survey of 120 students, it was found that 17 drink neither tea nor coffee, 88 drink tea and 26 drink coffee. By drawing a Venn-dia

In a survey of 120 students, it was found that 17 drink neither tea nor coffee, 88 drink tea and 26 drink coffee. By drawing a Venn-diagram, find out the number of students who drink both tea and coffee?

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  1. You can draw. I don’t have a stylus here. 88 + 26 +17 = 120 + # who drink both. Since the 88 and the 26 double counts both. Since 88+26+17 = 131. 131–20 = 11 is the number drinking both.

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  2. In a survey of 120 students, it was found that 17 drink neither tea nor coffee, 88 drink tea and 26 drink coffee. By drawing a Venn-dia

    Outside of the Tea Coffee union , inside the rectangle 17
    Coffee-only: 120–17–88 = 15 *
    The Coffee & Tea part: 26–15 = 11
    Tea-only: 88 – 11 = 77

    *: 120 people, minus the ones who don’t drink coffee or tea (as they don’t drink coffee; the white part) minus the ones who drink tea (as they drink tea, they don’t belong in coffee only; the green taints)

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  3. Given :
    Total 120
    Neither Tea nor coffee: 17
    Tea drinker: 88
    coffee drinker: 27
    Hence: Number of students drink tea and coffee both is 11.
    For additional information on how to solve venn diagrams. Check out this video on a similar tea and coffee problem:

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