SOLUTION: I have a juice concentrate that is 90% juice and 10% water. I want to take that concentrate and make it into a 50% juice concentrate. How much water do I add? In addition, if I add

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Question 395040: I have a juice concentrate that is 90% juice and 10% water. I want to take that concentrate and make it into a 50% juice concentrate. How much water do I add? In addition, if I added sugar would that alter the % of the concentrate and if so by how much. Is there a formula for both of the above?
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = amount of 90% mixture to use
Let = amount of water to add
In words:
(total juice)/(total mixture) = 50%

There are 2 unknowns and only 1 equation, so it's
not solvable unless I know how much 50% mixture
I end up with, then I can write the 2nd equation:
= amount of 50% mixture
However, I can show that:

So, the ratio of added water to 90% mixture is 5/4
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I don't have a clue about adding sugar