Hello, Brittany!

The lily-pad problem is a trick question.

. . And we have a trick answer for it . . .

A pond begins to develop a cover of lily pads.

The number of lily pads doubles every 3 days.

After 49 days, the pond is completely covered.

How long before the pond is one-quarter covered?

Assume the lily pads are all the same size.

"The number of lily pads doubles every 3 days."

The pond is completely covered on the 49th day.

This means that 3 days ago (46th day), the pond washalfcovered.

And 3 days beforethat,the pond was one-quarter covered.

Answer: .43 days.