I'm a student in China and I read this in my textbook.
The whole sentence is:
I have already put away some savings since I made a budget.
In my opinion, you can only "put away a hundred dollars" or "put away some money" and the money you put away will turn into your savings. Thus I think there's a mistake in my textbook. But since I'm not a native speaker, I want to know whether native speakers will use this phrase.