SOLUTION: Madelline has 800 grams of a dye solution. 20% of that solution is the original dye. How much solution must be added in order to get 50% original dye solution.

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Question 1130376: Madelline has 800 grams of a dye solution. 20% of that solution is the original dye. How much solution must be added in order to get 50% original dye solution.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
20% of that solution is the original dye>

What kind of dye? Which solvent? Temperature?

Serious solubility problems here.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


This is a mathematics website, so readers' questions should not be dismissed because the physical or chemical problem is impossible. Clearly the intent of the problem is as a typical mixture problem, which is a mathematical problem.

However, your statement of the problem, exactly as you state it, doesn't make sense. You start with some solution which is 20% dye, and you add more of that solution trying to get a solution that is 50% dye.

But adding any additional amount of 20% dye solution to the original 800g of the 20% dye solution is never going to produce a solution that is anything other than 20% dye.