Paper bags as garbage bags

p.s. I decided on this that since the two places I shop for groceries only offer paper bags, I have no choice but to throw away my garbage in paper bags. I know this doesn't really work, mainly because you don't really close the bag so you're essentially just throwing waste down the garbage chute, however, I know of people who have done far more outrageous things with their garbage that if I detailed here would cause them to come after me and beat me down so I'll leave it at that.