Hi vinni.k,
We're told that at the beginning of February, the ratio of goats to pigs on a certain farm was 7 to 6 - meaning that the number of goats MUST be a multiple of 7 and the number of pigs MUST be a multiple of 6 (for example, 7 goats and 6 pigs, 14 goats and 12 pigs, 21 goats and 18 pigs, etc.). We're asked for the RATIO of goats to pigs at the END of February. This question can be solved in a number of different ways, including "ratio math."
1) During the month of February, the number of goats doubled.
Fact 1 tells us NOTHING about what happens to the number of pigs, so there's no way to determine the end ratio.
Fact 1 is INSUFFICIENT
2) During the month of February, the number of pigs decreased by 50%
Fact 2 tells us NOTHING about what happens to the number of goats, so there's no way to determine the end ratio.
Fact 2 is INSUFFICIENT
Combined, we know:
During the month of February, the number of goats doubled.
During the month of February, the number of pigs decreased by 50%
You correctly adjusted the beginning ratio to account for this information (re: doubling the goats and halving the pigs), which gives us a final ratio of (2)(7):(1/2)(6) = 14:3
Combined, SUFFICIENT
Final Answer: C
GMAT assassins aren't born, they're made,
Rich