SOLUTION: how much water must be added to 300 gallons of 85% alcohol in order to reduce it to 70% alcohol?

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Question 414153: how much water must be added to 300 gallons of 85% alcohol in order to reduce it to 70% alcohol?
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = gallons of water to be added
given:
are gallons of alcohol in 85% mixture
----------------




gallons
64.286 gallons of water must be added

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
300 gallons of 85% alcohol has 300*0.85 = 255 gallons of alcohol
-----------
For 255 gallons to be 70%, water has to be 30%
Total = 255/0.7 = 2550/7 =~ 364.286
Add 364.219 - 300 = 64.286 gallons of water

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