When game developer PopCap announced last week that it was cutting staff at its Seattle headquarters, the company didn’t say how many employees would be losing their jobs. But a Worker Adjustment and Retraining Notification filing shows that parent company Electronic Arts Inc. has put the number at 45, and layoffs will start on July 3. In a story last year, The Seattle Times said Pop Cap employed about 165 people. The maker of such game titles as “Plants vs. Zombies” and “Bejeweled,” PopCap was founded in 2000 and joined EA about five years ago. GM Matt Nutt said in a letter announcing the layoffs that “PopCap Seattle isn’t going anywhere” and that the company was “re-focused and re-energized” and would use a leaner stature to build new things.