SOLUTION: Adding 25 gallons of acid to a mixture, makes it 80% Acid solution, while adding 25 gallons of water makes it 60% Acid solution. What is the original acid percentage of the mixture
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Question 993323: Adding 25 gallons of acid to a mixture, makes it 80% Acid solution, while adding 25 gallons of water makes it 60% Acid solution. What is the original acid percentage of the mixture?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
You are not given the amount of original acid mixture, so give this a variable for its volume.
v, the initial volume in gallons of the starting mixture of unknown percent concentration.
Let p be the percent concentration of your original acid mixture.
Additionally, you are forced to assume that your acid to add in pure form, the 100%, is a liquid.
ADDING 25 GALLONS
ADDING 25 GALLONS OF WATER
The system of equations slightly reworked is
STEPS SOLVING THE SYSTEM
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Next use the simpler, dilution equation.
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