Problema Solution
A chemist wants to make 75 liters of 16% acid solution. He is going to make it by mixing a 10% acid and a 25% acid solution. How many liters of each will be need?
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let
x = liters of 10% acid solution
y = liters of 25% acid solution
we need to make 75 liters of 16% acid solution
x + y = 75
the 10% of x + the 25% of y = 75 liters of 16% acid solution
0.10x + 0.25y = 0.16*75
by solving the system of equations
x + y = 75
0.10x + 0.25y = 0.16*75
we find
x = 45 l
y = 30 l
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we need 45 liters of 10% acid and 30 liters of 25% acid solution.