<|system|>
A rubber ball is dropped from a height of 100 feet.  Each the time ball bounces, it rises to a height $\frac{2}{5}$ of the previous height.  Find the total distance the ball travels, in feet.</s>.
<|user|>
Can you answer based on context?
<|assistant|>
The sum of the distances is
\begin{align*}
100 + 40 + 40 + 16 + 16 + \dotsb &= 100 + 2 (40 + 16 + \dotsb) \\
&= 100 + 2 \cdot \frac{40}{1 - 2/5} = \frac{700}{3}.
\end{align*}