Question 1071263: A chemist has a solution that is 65% acid and another that is 45% acid. How many liters of each should he mix to obtain 300 liters of a solution that is 60% acid?
Answer by addingup(3677)   (Show Source):
You can put this solution on YOUR website! one is 65%, let the amount be x
the other is 45%, and since the total is 300, this amount will be 300-x
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0.65x+0.45(300-x) = 0.60(300)
0.65x+135-0.45x = 180
0.20x = 45
x = 225
He needs 225 liters of the 65% solution and 300-225 = 75 liters of the 45% solution.
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common sense quick check: What is the end result he's looking for? A 60% solution. Which is closest to 60, 65 or 45? It's 65, so it makes sense that you would need a larger amount of the 65% solution.
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