Question $8(20\%)$

You are working on a concrete mix design that requires each cubic yard of concrete to have $0\mathrm{.}45$ water$-$cement ratio, $1963l\frac{b}{y}{d}^3$ of dry gravel, $4\%$ air content, and $565l\frac{b}{y}{d}^3$ of cement. The available gravel has a specific gravity of $G_{\text{g}\text{r}\text{a}\text{v}\text{e}\text{l}}=2\mathrm{.}7,$ a moisture content of $1\mathrm{.}6\%,$ and absorption of $2\mathrm{.}4\%.$ The available sand has a specific gravity of $G_{\text{s}\text{a}\text{n}\text{d}}=2\mathrm{.}5,$ a moisture content of $4\mathrm{.}8\%,$ and absorption of $1\mathrm{.}5\%.$ For each cubic yard of concrete needed on the job, calculate the weights of cement, moist gravel, moist sand, and water that should be added to the batch.