A certain country is divided into 5 provinces. Each province consists entirely of Progressives and Traditionalists. If each province contains the same number of Traditionalists and the number of Traditionalists in any given province is 1/15 the total number of Progressives in the entire country, what fraction of the country is Traditionalist?  Choose one:
A) 1/5 B) 1/3 C) 1/2 D) 2/3 E) 3/4
Let P be the number of Progressives in the country as a whole.   In each province, the number of traditionalists is P/15   The total number of traditionalists is 5P/15 = P/3.   The total population is P + P/3 = 4P/3   P / (4P/3) = 3/4   The answer is 3/4.
<result>E</result>
A certain country is divided into 5 provinces. Each province consists entirely of Progressives and Traditionalists. If each province contains the same number of Traditionalists and the number of Traditionalists in any given province is 1/15 the total number of Progressives in the entire country, what fraction of the country is Traditionalist?