Hi All,
This question can be solved by TESTing VALUES.
We're given a series of facts to work with:
1) There are 5 provinces
2) Each province includes a certain number of Progressives and a certain number of Traditionalists
3) Each province has the SAME number of Traditionalists; the number of Traditionalists in each province = 1/10 the TOTAL number of Progressives in the ENTIRE COUNTRY.
We're asked 'what fraction of the COUNTRY is TRADITIONALISTS?'
If we say that each province has 10 Traditionalists in it, then we can calculate the TOTAL number of Progressives in the ENTIRE COUNTRY....
10 = (1/10)(ALL Progressives)
100 = All Progressives
Since there are 5 provinces, each with 10 Traditionalists in it, there are (5)(10) = 50 Total Traditionalists
50 Traditionalists + 100 Progressives = 150 Total people.
Since we're asked for the fraction that is Traditionalists.... 50/150 = 1/3
Final Answer:
GMAT assassins aren't born, they're made,
Rich