A8. If we fill the pot with $z$ water to the top, it weighs $17 \mathrm{~kg}$, but if we fill it with $z$ water to half, it weighs $9.5 \mathrm{~kg}$. How much does the empty pot weigh?
(A) $0.5 \mathrm{~kg}$
(B) $1 \mathrm{~kg}$
(C) $1.5 \mathrm{~kg}$
(D) $2 \mathrm{~kg}$
(E) $3 \mathrm{~kg}$
A8. From the problem statement, we can write a system of two equations: $p+v=17$ and $p+\frac{1}{2} v=9.5$. The pot $p$ weighs $2 \mathrm{~kg}$, and the water $v$ in it weighs $15 \mathrm{~kg}$.

## FURTHER PROBLEMS