SOLUTION: Im studying for the fire department test and one of the questions in my practice book says How many ounces of water should be added to 24 ounces of an alcohol/water solution contai

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Question 327330: Im studying for the fire department test and one of the questions in my practice book says How many ounces of water should be added to 24 ounces of an alcohol/water solution containing 44% alcohol to dilute the mixture to 20% alchohol. This doesn't fit the formula given and im really confused, and i was wondering if this problem has a different formula? Any help is greatly appreciated. Thank You!!!!
Found 2 solutions by Fombitz, amalm06:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Write a concentration equation.
Let X be the number of ounces of water which would be a 0% solution.
0%28X%29%2B44%2824%29=20%28X%2B24%29
1056=20X%2B480
20X=576
X=28.8
You need to add 28.8 ounces of water.

Answer by amalm06(224) About Me  (Show Source):
You can put this solution on YOUR website!
Shortcut: (24)(24/20)=28.8 oz of water

The pattern is to easy to recognize after doing a few problems.