Alcohol mixing

How much 64% of the alcohol must be poured into 6 liters of 85% alcohol to produce 79% alcohol?

Result

x =  2.4 l

Solution:

 0.64x+6 0.85=0.79 (x+6)  0.15x=0.36  x=125=2.4 =125=2.4 l \ \\ 0.64x + 6 \cdot \ 0.85=0.79 \cdot \ (x+6) \ \\ \ \\ 0.15x=0.36 \ \\ \ \\ x=\dfrac{ 12 }{ 5 }=2.4 \ \\ =\dfrac{ 12 }{ 5 }=2.4 \ \text{l}



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