SOLUTION: Five gallons of 20% alcohol solution is added to 3 gallons of 30% solution. Two gallons of pure alcohol is added to the resulting solution. What shall be its percentage of concentr

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Question 1127963: Five gallons of 20% alcohol solution is added to 3 gallons of 30% solution. Two gallons of pure alcohol is added to the resulting solution. What shall be its percentage of concentration of the final solution?
Answer by ikleyn(52803) About Me  (Show Source):
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Concentration of the mixture is the ratio of the volume of the pure alcohol to the total volume of liquid.


The volume of the pure alcohol in this case is

    0.020*5 + 0.30*3 + 2 = 3 gallons.


The total volume of the liquid is

    5 + 3 + 2 = 10 gallons.


The ratio (the concentration) is  3%2F10, dimensionless value.


The percentage is  %283%2F10%29%2A100 = 30%.


Answer.  The concentration of the final solution is 30%.

Solved.