Problem $4\mathrm{.}2$

A concrete mix design yields a water$-$cement ratio of $0\mathrm{.}42,1,900l\frac{b}{y}{d}^3$ of dry coarse aggregate, $2\%$ air content, and $225l\frac{b}{y}{d}^3$ of water. The bulk specific gravity of cement used is $3\mathrm{.}15.$ The coarse aggregate has a bulk specific gravity of $2\mathrm{.}65,$ in$-$situ moisture content of $2\mathrm{.}5\%,$ and an absorption of $4\mathrm{.}5\%.$ The fine aggregate $($sand$)$ has a bulk specific gravity of $2\mathrm{.}42,$ in$-$situ moisture content of $0\mathrm{.}5\%,$ and an absorption of $2\mathrm{.}5\%.$

Determine the weight of cement, wet coarse aggregate, wet fine aggregate, and water for a $1y{d}^3$ trial mix.