Question 1189586: A solution of water and alcohol is 25% alcohol. If the amount of water is doubled what percent is now alcohol?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the way i see this problem is as follows:
you have a solution of water and alcohol.
the solution is 3 parts water and 1 part alcohol.
the percent of alcohol is 1/4 = .25 = 25%.
if you double the water, they you are adding another 3 parts of water to get:
6 parts water and 1 part alcohol.
the percent of alcohol is 1/7 = .1428571429 = 14.28571429%.
as a test, i assumed 100 liters of solution that is 75% water and 25% alcohol.
that divides into 3 parts water and 1 part alcohol.
that means 75 liters water and 25 liters alcohol.
i doubled the amount of water to get 150 liters water and 25 liters alcohol in a total solution of 175 liters.
the percent alcohol became 25/175 = .1428571429 = 14.28571429%.
method looks good.
solution is 14.29% alcohol rounded to 2 decimal places.
round your number as required.
the detailed solution is 14.28571429% alcohol.
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