SOLUTION: I have a slushy machine that requires 1 gallon of liquid to be added to it that contains a 15% sugar solution. I need to know how much sugar needs to be added to the 1 gallon of l

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Question 977607: I have a slushy machine that requires 1 gallon of liquid to be added to it that contains a 15% sugar solution. I need to know how much sugar needs to be added to the 1 gallon of liquid in order for it to freeze properly and for me to make my own recipes.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You should use the density of sugar solution in water (sucrose solution):
See the data here: http://homepages.gac.edu/~cellab/chpts/chpt3/table3-2.html

That gives 15% sucrose is 1.0592 grams/cc.

Your calculation starts with 1 GALLON of 15% sucrose.

Another page online gives a density conversion calculator,
http://www.unit-conversion.info/density.html

That will allow you to take the factor 8.345 to change grams/cc to pounds per gallon. This means, 1.0592%2A8.345=8.839%2ApoundsPerGallon for 15% sucrose.

USING THE CALCULATED SOLUTION INFORMATION

You want to have 1 gallon of 15% sucrose solution.
1 gallon of 15% sugar is 8.839 POUNDS of solution.

How much of this is sugar?
%280.15%29%288.839%29=1.3259%2ApoundsSugar

How much of this is water?
8.839-1.3259=7.513%2ApoundsWater

Read very carefully; these are the quantities of water and sugar IN POUNDS to use. How you actually measure the ingredients depends on your desired choices. You may want to convert the sugar quantity into grams, or into pounds & ounces. You may want to convert your water quantity into ounces, or into FLUID OUNCES (which should never be confused with "ounces").