Does more apps on the palm pixi take up the battery faster?

[Maverick Garcia]

I downloaded a bunch of free apps (games) on my mom's phone and she says that her battery is running out faster because I downloaded those. She said because its taking up the memory >_> I honestly feel she's wrong and that just apps on the phone won't take up battery because they aren't being runned, but she said she never had the problem before I added the games. Maybe she's using it more, or something, but the above question, is it true?