SOLUTION: 17.5 fluid ounces of a solution containing 2% alcohol + 8.25 fluid ounces of a solution containing 5% alcohol = what is the percentage of alcohol in the combined solution?

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Question 989035: 17.5 fluid ounces of a solution containing 2% alcohol + 8.25 fluid ounces of a solution containing 5% alcohol = what is the percentage of alcohol in the combined solution?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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P=percentage of combined solution.
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Find the amount of alcohol in each solution:
0.02(17.5)+0.05(8.25)=P(25.75)
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Add to find total alcohol in combined solutions:
0.35+0.4125=P(25.75)
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Divide by total alcohol by total amount of solution to find percentage:
0.7625/25.75=P
0.03=P
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ANSWER: The combined solution is 3% alcohol.