This app was mentioned in 4 comments, with an average of 1.25 upvotes
/u/SkyNyan95
Sometime ago I looked for very similar app, but everything I could find was bloated with too many useless for me fucntions, so created my own. Shameless selfpromotion:
https://play.google.com/store/apps/details?id=com.komorovg.many
https://play.google.com/store/apps/details?id=com.komorovg.manyfree
Here it is https://play.google.com/store/apps/details?id=com.komorovg.many
It's simple finance manager with slightly different approach to manage your budget. And I think your idea will fit perfectly :)
It is exactly what you want, also have free version https://play.google.com/store/apps/details?id=com.komorovg.many