OMG, I remember those. We fought over the red ones. And the dime store let us buy half of the double Popsicles for 5 cents.
I can’t recall ever buying just a half of a Popsicle. I do remember that the “bag”, or wrapper was open on one end and the sticks stuck out. I always wanted to be the one to break them apart (sharp rap against the corner of a counter). Used to make those fan shaped things with the sticks (for throwing). And I think somebody I knew used to chew on the wrappers till all the flavor was out.