Fig. P$5$ shows compaction curves for different soils that have the same specific

gravity of $2\mathrm{.}65.$ Soil types $2$ and $3$ are mixed in the borrow area to some unknown

extent. After compacting the mixed soil, a sand cone test is performed on the soil. The

weight of the compacted soil excavated for the sand cone test was $4\mathrm{.}763lb$ wet and

$4\mathrm{.}141lb$ dry. The volume of excavated soil was $0\mathrm{.}038f{t}^3.$

a$.$ Determine the water content and dry unit weight of the compacted soil.

b$.$ Estimate the maximum dry unit weight of the mixed soil and corresponding

optimum moisture content. $($use line of optimums to answer this question$).$

c$.$ What is the relative compaction based on soil $2$ and the relative compaction based

on the mixed soils $($compute $2$ numbers$).$