Alcohol mixing

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

Correct answer:

x =  2.4 l

Step-by-step explanation:

$$\begin{gathered} 0.64x+6\cdot 0.85=0.79\cdot (x+6) \\ 0.64\cdot x+6\cdot 0.85=0.79\cdot (x+6) \\ 0.15x=0.36 \\ x={\displaystyle \frac{12}{5}}=2.4={\displaystyle \frac{12}{5}}\text{ l}=2.4\text{ l} \end{gathered}$$

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