Question

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?

Answer 1

Answer:

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%.