Three students, Kaila, Octavia, and Sophia, formed a trio for a local music competition and won a cash award. They decided to split the award as follows:
Kaila received \(\$100\) plus \(\frac{1}{5}\) of what then remained;
Octavia then received \(\$160\) plus \(\frac{1}{4}\) of what then remained; and
Sophia then received the rest, which was \(\$180\).
How much was the original cash award? Which student received the most money?
Theme: Number Sense