SOLUTION: Joy has a solution containing 15% alcohol. How much of this solution and how much water must she use to get 3 liter(s) of a solution containing 10% alcohol? Round your answer to tw
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Question 1122724: Joy has a solution containing 15% alcohol. How much of this solution and how much water must she use to get 3 liter(s) of a solution containing 10% alcohol? Round your answer to two decimal places off necessary. Answer by ikleyn(52835) (Show Source):
Let w be the unknown volume of water to add, in liters.
Then the volume of the 15% solution to use is (3-w) liters.
Your equation is
pure alcohol + pure alcohol = total pure alcohol
0.15*(3-w) + 0 = 0.1*3, or
0.45 - 0.15w = 0.3
0.45 - 0.3 = 0.15w
0.15 = 0.15w ====> w = = 1 liter.
Answer. 1 liter of water and 2 liters of the original 15% alcohol solution is required.
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