The soil from a borrow area having an average in$-$situ unit weight of $15\mathrm{.}5$~kN$/$m$^\{3\}$ and water content of $10\%$ was used for the construction of an embankment $($total finished $6000$ m$).$ In half of the embankment due to improper rolling, the dry unit weight achieved was slightly lower. If the dry unit weights in the two parts are and $16\mathrm{.}0$~kN$/$m$^\{3\},$ find the volume of borrow area $16\mathrm{.}5$~kN$/$m$^\{3\}$ soil used in each part and the amount of soil used