If you take 1 lb LME, and mix with sufficient water to make 1 gallon, you will end up with a solution with a SG of 1.036 (according to Beersmith).
This means that the weight of the solution will be 8.3378 lbs * 1.036 = 8.638 lbs.
As you added 1 lb LME, the weight of water that you added would be...