Problema Solution

Tank A contains 50 liters of a 25% sulfuric acid solution. Tank B contains 50 liters of a 40% sulfuric acid solution. how many liters from each tank must be mixed to produce 30 liters of a 30% solution.

Answer provided by our tutors

let


a = liters from tank A needed for the mix

a <= 50


b = liters from tank B needed for the mix

b <= 40


the mix is 30 liters of a 30% solution


a + b = 30


0.25a + 0.40b = 0.30*30


by solving the above system of equations we find


a = 20 l


b = 10 l


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20 liters of the 25% sulfuric acid solution and 10 liters of the 40% sulfuric acid solution should be used for the mix.