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How many liters of a 10% alcohol solution must be mixed with 30 liters of a 50% solution to get a 20% solution?

 May 10, 2020
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Unknown amount at 10%  =  x

Unknown final amount       =  30 + x

 

(percentage x amount) + (percentage x amount)  =  (final percentage x final amount)

            0.10 · x             +             0.50 · 30            =                       0.20 · (x + 30)

 

     0.10x + 15.00  =  0.20x + 6.00

       0.10x + 9.00  =  0.20x     

                    9.00  =  0.10x

                    90.0  =  x

 May 10, 2020

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