Ok you math guys, I have about 7 gallons of 1:1 left over from the dearth we had mid-summer. How much sugar needed to make it 5:3. About 1/2 pound of sugar gallon of 1:1 close enough? I'm remembering that 1 gallon of water plus 8 pounds of surgar makes 1-1/2 gallon of syrup. Also, I added Honey B Healthy when I made the 1:1, do you all think it will harm the syrup to heat it just a touch to dissolve the extra sugar?
40# of sugar for a 5:3 ratio would require 12 quarts of water, not 20; however, you want to know how much more sugar than the 40 pounds would be needed to match the 20 quarts of water; you've already used 40#. You would be exact by adding another 30# of sugar making 70# of sugar to 21 quarts of water or very, very close with a total of 69 pounds (another 29#) of sugar for the 20 gallons of water. So add 29-30 pounds of sugar, and you'll have your 5:3 ratio. You owe me a bottle of good gin.
Took me a while to get my head around your forumula,. At first it didn't sound right but you nailed it.
About that Gin...not one imbibe, maybe we can work something out.