Problem $2$:

A granular soil with aGs$=2\mathrm{.}65,e_{\text{m}\text{a}\text{x}}=0\mathrm{.}80$ and $e_{\text{m}\text{i}\text{n}}=0\mathrm{.}60$ is compacted to a moist unit weight of $120$ psf at a moisture content of $11\%.$ What is the relative density of the compacted sand?