You surely have heard "a pint is a pound" (in water yes - but not honey)
I part water and 1 part sugar = 1 pound of water (1 pint or 2 cups water) plus
1 lb. sugar is 1:1 syrup and is used in late winter and early spring to
stimulate queen laying PARTICULARLY IN STATES THAT HAVE ONLY AN EARLY NECTAR
CROP LIKE APRIL AND MAY.
2:1 syrup (2 lbs. sugar dissolved in just one pint of water) is winter stores
and fed in the fall.  It is very difficult to dissolve 2 parts of sugar in
just one part of water, UNLESS THE WATER IS BOILING WHEN YOU ADD IT TO SUGAR
You can prevent sugar syrup forming MOLD by simply adding 1/4 teaspoon of
Cream of Tarter (Found at any grocery store in spice dept) to a gallon of
syrup.
Caution: If you feed 1:1 as a queen stimulant (I have for years), you MUST
thoroughly understand SWARMING  -  not control or swarm collection, but
understand the bee biology about swarming, so you have few or zero swarms.
I strongly suggest reading Dr. Norm Gary's Chapter 8 in the new HIVE AND HONEY
BEE.  I insist that all my short course attendees read and study that chapter.
George Imirie, MASTER BEEKEEPER,  Began beekeeping 65 years ago, 1933