SOLUTION: How many quarts of water does one add to 6 quarts of a 60% alcohol solution to create a 40% alcohol solution? Thank you for your time.

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Question 43564: How many quarts of water does one add to 6 quarts of a 60% alcohol solution to create a 40% alcohol solution? Thank you for your time.
Answer by aaaaaaaa(138) About Me  (Show Source):
You can put this solution on YOUR website!
So, in 6 quarts, we have 60% of alcohol. We can say we have 3.6 quarts of alcohol. We must stop adding water when the ratio 3.6%2Fq+=+40%2F100, where q is the total number of quarts.
Solve for q:
3.6%2Fq+=+40%2F100
3.6+=+40q%2F100
360+=+40q
q+=+9
Therefore, we must add 9 - 6 = 3 quarts of water.