In production

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

Final Answer:

p =  37.5 %
V₄ =  1.125 l

Step-by-step explanation:

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

$$\begin{gathered} V_3=3\text{l} \\ {V}_4=V_3\cdot r=3\cdot 0.375=\frac{9}{8}\text{l}=1.125\text{l} \end{gathered}$$

Try another example