Before anyone gets too confused the 2 lb in 1 pint recipe is for Autumn feeding. For Spring feeding (and helping a new colony), most people use 1 lb in 1 pint.
It is also handy to know that when you make the 1:1 syrup feeding solution, you will end up with 50% more volume than the water you started with. So if I want to make one US gallon of feed (8 pints), I dissolve 5 lb of sugar in 5 pints of water. The end result is about 7 1/2 pints of syrup, which is close enough for me!
For 2:1 syrup in the Autumn, the volume approximately doubles when the sugar has dissolved, so for a gallon, I add 8 lb of sugar to 4 pints of water.