In production

In the production of sea buckthorn liqueur, 1.25 liters of sea buckthorn juice are mixed with 0.75 liters of 4% alcohol.
Calculate the percentage of alcohol in sea buckthorn liqueur.
Calculate the volume of pure alcohol in liters that is contained in 3 liters of sea buckthorn liqueur.

Correct answer:

p =  37.5 %
V₄ =  1.125 l

Step-by-step explanation:

$$\begin{gathered} V_1=1.25\text{l} \\ {V}_2=0.75\text{l} \\ r=\frac{V_2}{V_1+V_2}=\frac{0.75}{1.25+0.75}=\frac{3}{8}=0.375 \\ p=100\cdot r=100\cdot \frac{3}{8}=\frac{100\cdot 3}{8}=\frac{300}{8}=\frac{75}{2}\%=37.5\% \end{gathered}$$

$$\begin{gathered} V_3=3\text{l} \\ {V}_4=V_3\cdot r=3\cdot \frac{3}{8}=\frac{3\cdot 3}{8}=\frac{9}{8}=\frac{9}{8}\text{l}=1.125\text{l} \end{gathered}$$

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