SOLUTION: in a survey 1/3 like mango only ,22 donot like mango also 2/3 like orange and 12 donot like none of them. find how many like both ?

Question 1092964: in a survey 1/3 like mango only ,22 donot like mango also 2/3 like orange and 12 donot like none of them. find how many like both ?
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
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From the condition, one can conclude that the entire population consists of 33 people.


Then we have 33 people, of which 11 like mango, 22 like orange and 12 like none of them.


It means that 33-12 = 21 like at least one of the fruits.


Then the number of those who like both the fruits is  11 + 22 - 21 = 12.

Solved.

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