Question

A floor-finishing machine uses bars of wax. Once the bar is worn down to 1/2 its original size, it must be replaced with a new bar. Only full-size bars can be put in the machine. The pieces are melted and recycled to make full-size bars. If you buy 24 bars and recycle all the pieces, how many full-size bars can you use? How much wax will be left over? Your goal is to have as little wasted wax as possible.

Answer 1

24 + .5(24) + .25(24) + ....