SOLUTION: My question is: If you have 60 grams of a solution that is 32% sugar, how much sugar do you add to make it 50% sugar. I found this question and tried to go by it (my answers ar

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Question 19005: My question is: If you have 60 grams of a solution that is 32% sugar, how much sugar do you add to make it 50% sugar.
I found this question and tried to go by it (my answers are second) and came up with a negative number so I know I am wrong. Please help!
Question 16433: A chemist has 2.5 liters of a solution which is 70% acid. How much water should be added to obtain a 50% acid solution?
Answer by venugopalramana(287) (Show Source):
chemist has 2.5 60 grams liters of a solution which is 70% 32 acid. How much water sugar should be added to obtain a 50% 50% acid solution?
qty.of solution = 2.5 l 60g
% acid in solution = 70 32
hence qty.of acid in the solution = 2.5*70/100 = 1.75 l (60*32/100= 19.2)
required percentage = 50 50
let the water to be added = x l xG
total qty.of solution = (2.5+x) l (60+x)G
qty of acid = same as before = 1.75 l 19.2 G
% acid in the new solution = 1.75*100/(2.5+x) = 50 as given 19.2*100/(60+x)=50
175= 50(2.5+x) 1920 = 50(60+x)
2.5+x = 175/50 = 3.5 60+x = 1920/50 = 38.4
x= 3.5 - 2.5 = 1 litre x = 38.4 -60 x=-21.6

Answer by Earlsdon(6287) (Show Source):
You can put this solution on YOUR website!
You want to do the following:
60 gm. of 32% sugar solution plus x gm. of 100% sugar solution to make (60+x) gm. of 50% sugar solution. Change the percents to their decimal equivalents and write the equation.
Simplify and solve for x, the number of grams of sugar to add.
Subtract 0.5x from both sides.
Subtract 19.2 from both sides.
Finally, divide both sides by 0.5

You will need to add 21.6 grams of sugar to the 60 grams of 32% sugar solution to make 81.6 grams of 50% sugar solution.