1. Since $\mathrm{x} \leq \mathrm{P}$ and Р:х, let $2 \mathrm{x} \leq \mathrm{P} => \mathrm{x} \leq \mathrm{P} / 2$, and also $\mathrm{y} \leq \mathrm{P} ; \kappa \leq \mathrm{P} ; \mathrm{e} \leq \mathrm{P} ; =>$

$$
\mathrm{x}+\mathrm{y}+\mathrm{K}+\mathrm{e} \leq 3.5 \mathrm{P} ; => \mathrm{P} \geq \frac{2}{7}(\mathrm{x}+\mathrm{y}+\mathrm{K}+\mathrm{e})=\frac{2}{7} \cdot 2023=578
$$

$\mathrm{x}=289 ; 2 \mathrm{x}=\mathrm{y}=\mathrm{K}=\mathrm{e}=578 . \mathrm{x}+\mathrm{y}+\mathrm{\kappa}+\mathrm{e}=2023$. $\mathrm{P}=578$. Answer: 578.

## №5: Percentages.

From a bottle filled with a $12 \%$ salt solution, 1 liter was poured out and the bottle was topped up with water, then another 1 liter was poured out and topped up with water again. The bottle ended up with a $3 \%$ salt solution. What is the capacity of the bottle?
Answer: 2 l

## №6: Planimetry.