Here's what we do know:
* The Milky Way is HUGE: It's estimated to contain hundreds of billions of stars.
* Planets are common: Astronomers now believe that most stars have at least one planet orbiting them.
* We're still discovering new planets: New exoplanets are being discovered all the time, thanks to powerful telescopes and new detection methods.
So, while we can't give you a precise number, it's safe to say that there are likely billions of solar systems in the Milky Way galaxy.