## Task 4 - V00804

We have two vessels. We pour water into both vessels, and into the first one $\frac{2}{5}$ of its capacity, into the second one $\frac{3}{8}$ of its capacity.

If we combine the two amounts of water, we get 8.5 liters. We also know that $\frac{4}{5}$ of the capacity of the first vessel is 6.2 liters greater than $\frac{3}{4}$ of the capacity of the second vessel.

Calculate the capacities of the two vessels!
The capacities of the vessels are $x$ and $y$. The system of equations is

$$
\frac{2}{5} x+\frac{3}{8} y=8.5 \quad ; \quad \frac{4}{5} x-6.2=\frac{3}{4} y
$$

The system has the solutions $x=14.5$ and $y=7.2$. The first vessel has a capacity of 14.5 liters, the second one 7.2 liters.