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19 April, 10:23

Belgium is a bilingual country, in which two languages are French and Dutch. Suppose that in a small town you discover that 51% of individuals can speak French, and 83% of individuals can speak Dutch. If 3% of individuals in the town speak neither French nor Dutch (they are foreiners) then what percent of individuals speak both French and Dutch?

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  1. 19 April, 10:31
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    The percent of individuals who speak both French and Dutch is 37%.

    Step-by-step explanation:

    We know that

    51% of individuals can speak French

    83% of individuals can speak Dutch

    3% of individuals in the town speak neither French nor Dutch

    We conclude that 100%-3% = 97% people speak either French or Dutch.

    Now, 97%-83% = 14% people who speak only French.

    Now we have 51%-14% = 37% are people who speak both French and Dutch.

    Now 83%-37% = 46% people who speak only Dutch.

    We have: 3%+14%+46%+37%=100%

    The percent of individuals who speak both French and Dutch is 37%.
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