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In a picnic of elderly persons, 25 persons take tea, 20 persons take coffee and 15 persons take milk. Ten persons take both tea and coffee and 8 persons take both milk and coffee. None of them takes tea and milk both and everyone takes at least one of the three beverages. How many persons went to the picnic ?

In a picnic of elderly persons, 25 persons take tea, 20 persons take coffee and 15 persons take milk. Ten persons take both tea and coffee and 8 persons take both milk and coffee. None of them takes tea and milk both and everyone takes at least one of the three beverages. How many persons went to the picnic ? Correct Answer 42

Given data :

The number of persons taking tea - 25

The number of persons taking coffee - 20

The number of persons taking milk - 15

The number of persons taking both coffee and tea - 10

The number of persons taking both coffee and milk - 8

None of them takes tea and milk both

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In the question, it is clearly mentioned that everyone takes at least one of the three beverages.

So the number of persons who take more than one beverage we have to cancel out from the total number of persons to find out the actual number of persons went to the picnic.

The number of persons taking tea + The number of persons taking coffee + The number of persons taking milk - The number of persons taking both coffee and tea - The number of persons taking both coffee and milk =  25 + 20 + 15 - 10 - 8

                                                                                                             = 60 - 18

                                                                                                             = 42

Hence, '42' is the correct answer.

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