Harley1980 wrote:

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 1/10 the total number of Progressives in the entire country, what fraction of the country is Traditionalist?

A) 1/5

B) 1/3

C) 1/2

D) 2/3

E) 4/5

Dear

Harley1980,

This is a great question, and I am happy to help.

There is some number of Progressives in the country as a whole. Call that number P.

In each province, the number of traditionalists is P/10 = 0.1*P

In five provinces, the number of traditionalist would be that times five, 0.5*P. In other words, the number of traditionalist is half the number of progressives.

Let T be the total number of traditionalists. Then P = 2T, and the total population in the country is 3T. T is 1/3 of this. OA =

(B).

Does all this make sense?

Mike

_________________

Mike McGarry

Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)