Two wine

In the ratio of 2:1, mixed wine solution cost 4.4 USD.
In the ratio of 1:2, mixed wine solution costs 4.8 USD.

How much does a liter of each wine cost?

Final Answer:

x =  4 Kč/l
y =  5.2 Kč/l

Step-by-step explanation:

$$\begin{gathered} 2x+y=3\cdot 4.4 \\ x+2y=3\cdot 4.8 \\ 2\cdot x+y=3\cdot 4.4 \\ x+2\cdot y=3\cdot 4.8 \\ 2x+y=13.2 \\ x+2y=14.4 \\ Row2-\frac{1}{2}\cdot Row1\to Row2 \\ 1.5y=7.8 \\ y=\frac{7.8}{1.5}=5.2 \\ x=\frac{13.2-y}{2}=\frac{13.2-5.2}{2}=4=4\text{Kc/l} \\ x=4 \\ y=\frac{26}{5}=5.2 \end{gathered}$$

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