What will the ratio of birds to fish in a certain pet store be after the store buys seven additional fish?
(1) Before the purchase, the pet store has birds and fish, respectively, in a 6 to 7 ratio.
(2) The resultant ratio of birds to fish in the pet store would be the same if, instead of buying seven fish, the pet store sold four birds.
[spoiler]OA=B[/spoiler]
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What will the ratio of birds to fish in a certain pet store
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Statement 1 is clearly insufficient.
For Statement 2, imagine we take out 4 fish. Then we know that adding back 4 fish and 7 birds doesn't change our ratio. That can only happen if the ratio is exactly 4 to 7 (if it weren't exactly 4 to 7, then adding 4 fish and 7 birds would move the ratio towards 4/7, so would change the ratio), so Statement 2 is sufficient alone.
For Statement 2, imagine we take out 4 fish. Then we know that adding back 4 fish and 7 birds doesn't change our ratio. That can only happen if the ratio is exactly 4 to 7 (if it weren't exactly 4 to 7, then adding 4 fish and 7 birds would move the ratio towards 4/7, so would change the ratio), so Statement 2 is sufficient alone.
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