We’re diluting, so we need to DRAIN a certain amount from the solution, then add that same amount of WATER that was drained



Let amount of solution to be drained, or amount of water to be added back, be W

Amount of water in solution: 11%, or .11 (1 - .89), and amount of water in diluted solution: 57% or .57 (1 - .43)

Thus, we have the following WATER equation: Water + water = water, OR

.11(200 – W) + W = .57(200)

22 - .11W + W = 114

.89A = 114 – 22

.89A = 92

W, or amount of solution to drained (amount of water to add) = , or 



By the way, when you drain 103.3708 L from the solution, and add back 103.3708 L of water, you'll be left with 114 L of water, and 86 L of

alcohol, which is 57% water and 43% alcohol.



Remember that the 200 L of liquid that you start off with DOES NOT change. The only things that change are the amounts of alcohol and 

water in the desired solution. You start off with 178 L of alcohol and 22 L of water, and end up with 86 L of alcohol and 114 L of water



If however, you're not draining and adding back what you drained, then the amount of water you need is is 213.95 L 

RELATED QUESTIONS

I have 4 litres of 50% alcohol how much water do I add to dilute to 43% alcohol ?


 (answered by lwsshak3)

If I had 20,000L of 28% HCL how much water would I need to dilute it to 15%... (answered by TimothyLamb)

i have 100% baking soda and need to dilute it to 10%.  how much baking soda would i use... (answered by josgarithmetic)

How much water should be added to 100 liters of 90% alcohol concentration to dilute it to  (answered by Maths68)

I have 1 oz of pure 99.85% glacial acetic acid, I need to dilute it with water down to... (answered by josmiceli)

You need to make 1500 ml of a 25 % alcohol solution. You have a bottle marked 85%... (answered by macston)

I have an unlimited supply of 80% alcohol solution and 95% alcohol solution.  How much of  (answered by Alan3354)

I need to reduce 1 litre of 40% alcohol to 28% how much water do I need to add?
(should... (answered by vleith)

how much water must be added to 45 liters of a solution that is 10% alcohol to dilute it... (answered by josgarithmetic)