A domestic water filtration system utilizes $10$ kg of a filtering material initially loaded with sodium $($Na$+)$ ions. This material has a binding capacity of $3\mathrm{.}0$ milliequivalents $($meq$)$ per gram for capturing specific ions. The water supplied to the home contains $20$ mg$/$L Na$+,70$ mg$/$L Ca$2+,$ and $25$ mg$/$L Mg$2+.$ what is the distribution of ions $($in milliequivalents per gram, meq$/$g$)$ within the filtering material when the system has operated until it is no longer accomplishing any hardness removal? The separation factors under these conditions are given below

Alpha Ca$2+,$Na$+=2\mathrm{.}4$

Alpha Mg$2+,$Na$+=1\mathrm{.}9$