Jose and Mike are members of a school video club. They were discussing sharing

homemade videotapes. When Jose asked to borrow Mike's videos, Mike replied:

"Each video completely fills one videotape. I have just one videotape at

home. However, I used to have lots of tapes. I gave 1/2 of my videotapes plus

1/2 a tape to Joanne. I gave 1/2 of my remaining videotapes and a 1/2 tape to

Maritza. Lastly, I gave 1/2 of my remaining videotapes and a 1/2 tape to

Jeff. How many videotapes did Mike have originally? Why could JoAnne,

Maritza and Jeff Watch all of the videotapes that Mike gave them? If the video

club used the procedure Mike followed and gave videotapes to 12 students, how

many tapes did they have in their library?