Question

The height of a mountain on a tropical island changes due to volcanic activity. When the mountain was last measured, its height was 3,680 meters. Now it is 25% shorter. How tall is the mountain currently?

Answer 1

We know that the mountain height was 3,680 meters and it is now 25% shorter.

We can relate the current and old height as:

$\begin{gathered} h_{current}=h_{old}-0.25h_{old} \\ h_{current}=0.75h_{old} \\ h_{current}=0.75*3680 \\ h_{current}=2760 \end{gathered}$

Answer: The mountain is now 2,760 meters tall.