In a factory 70% of the workers like oranges and 64% likes apples. If each worker likes, at least one fruit, then what percentage of workers like both the fruit?

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Solution

Given data:

Percentage of workers like oranges = 70%

Percentage of workers like apples = 64%

Percentage of workers like both oranges and apples = x %

Then,

n(A $\cup$ B) = n(A) + n(B) - n(A $\cap$ B)

100 = 70 +64 - n(A $\cap$ B)

n(A∩B) = 34%

Percentage of workers likes both the fruit = 34%.

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In a factory 70% of the workers like oranges and 64% likes apples. If each worker likes, at least one fruit, then what percentage of workers like both the fruit? ___

Given data: Percentage of workers like oranges = 70% Percentage of workers like apples = 64% Percentage of workers like both oranges and apples = x % Then, n(A ∪ B) = n(A) + n(B) - n(A ∩ B) 100 = 70 +64 - n(A ∩B) n(A∩B) = 34% Percentage of workers likes both the fruit = 34%.

In a factory 70% of the workers like oranges and 64% likes apples. If each worker likes, at least one fruit, then what percentage of workers like both the fruit?

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