In a particular survey of 400 consumers living in a certain community, 100 were

Question

In a particular survey of 400 consumers living in a certain community, 100 were listed as taking apple juice, 150 as taking orange juice and 75 were listed as taking both apple and orange juice as well. Find how many students were taking neither apple juice nor apple juice. In a particular survey of 400 consumers living in a certain community, 100 were listed as taking apple juice, 150 as taking orange juice and 75 were listed as taking both apple and orange juice as well. Find how many students were taking neither apple juice nor apple juice.

Explanation / Answer

Let

A = apple juice
O = orange juice

Thus,

N((A U B)') = N - [N(A) + N(B) - N(A n B)]

= 400 - (100 + 150 - 75)

= 225 [ANSWER]

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