Softening $-$ Task no$.3-$

Solve the following problems showing all necessary calculations:

From the water analysis presented below, determine the amount of lime and soda $($in $m\frac{g}{L}$ as CaCO$3)$ necessary to soften the water to $80\mathrm{.}00m\frac{g}{L}$ hardness as CaCO$3.$

Water Composition $($mg$/$L$)$

$\backslash$table$[[C{A}^{+2},96\mathrm{.}30],[C{O}_2$:$,19\mathrm{.}00],[M{G}^{+2}$:$,14\mathrm{.}45],[S{O}_4^{-2}$:$,54\mathrm{.}00],[N{A}^{+}$:$,26\mathrm{.}78],[C{L}^{-}$:$,68\mathrm{.}11],[HC{O}_3^{-}$:$,242\mathrm{.}5]]$