Fun puzzles and problems

We will post problems and puzzles here for all math enthusiasts.
If you think you've solved a problem, or just want to know if you're on the right track, email your solution to sjmathcircle@gmail.com.
Try solving the problems on your own!

Solve the puzzle #1:

We've got a first puzzle for you math fans! Download it by clicking here: (pdf) or (doc)
Good luck!