An asphalt mixture has a bulk specific gravity $(G_{mb})$ of $2\mathrm{.}376$ and theoretical maximum specific gravity $($ Gmm $)$ of $2\mathrm{.}454.$ Calculate the volume percentage of air voids and the compacted bulk density $(\%)$ of the mixture. $(15$ points$)$

If the binder content of the mixture described in Question #$2$ is $5\mathrm{.}0\%,$ determine the $G_{mm}$ for the following binder contents: $4\mathrm{.}5\%,5\mathrm{.}5\%$ and $6\mathrm{.}0\%.(20$ points$)$