a and b are positive integers.
Quantity A: a/b
Quantity B: (a+3)/(b+3)

Answer options:
1. Quanity A is greater
2. Quanity B is greater
3. The two quantities are equal
4. The relationship cannot be determined from the information given

The answer key says that the relationship cannot be determined, but why? It seems to me that quantity B is greater

Question

a and b are positive integers.
Quantity A: a/b
Quantity B: (a+3)/(b+3)

Answer options:
1. Quanity A is greater
2. Quanity B is greater
3. The two quantities are equal
4. The relationship cannot be determined from the information given

The answer key says that the relationship cannot be determined, but why? It seems to me that quantity B is greater

anonymous · Answer

It can't be determined because their values are relative to the variables substituted in for each one.

anonymous · Answer

Ok ,that makes sense.  I guess I just didnt think this one through.
Thank you : )