Please help me solve the following problems following and using Polya's Four Step Method and employing the different strategies. Thank you.

(#1 - Understand the problem, #2 - Devise a plan (translate), #3 - Carry out the plan (solve), and #4 - Look back (check and interpret).

PROBLEM:

Alice, Ben and Carl collect stamps. They exchange stamps among themselves according to the following scheme: Alice gives Ben as many stamps as Ben has and Carl as many stamps as Carl has. After that, Ben gives Alice and Ben as many stamps as each has. If each finally has 64 stamps, how many stamps does Alice have at the start?