Managing my money means keeping track of how much money I am spending, as well as ensuring that I have enough to cover my expenses and save for the future. It also means that when I'm spending money, I'm making sure that what I'm buying is worth it—I don't want to waste money on things that are not important or useful to me.
The thing is, if someone offered me a random piece of gum from their bag, I would probably decline because there are so many things that need to be paid for (like rent) and there's no reason for me to waste my money on something like gum when there's no nutritional value in it. However, if someone offered me an apple (which is full of nutrients), then that would probably be okay because apples are healthy and nutritious.