## Task 3 - V00803

I drop a ball. It bounces up to $\frac{2}{3}$ of its falling height. It falls again and bounces the second time $\frac{5}{8}$ of the first bounce height.

Calculate from what height I dropped the ball if it bounced $45 \mathrm{~cm}$ less high the second time than the first time!
When $x$ is the falling height, the linear equation is

$$
\frac{5}{8} \cdot \frac{2}{3} x+45=\frac{2}{3} x
$$

with the solution $x=180$. The ball fell from a height of $180 \mathrm{~cm}$.