The $28-$day target compressive strength should be $25$ MPa. The slump should be between $75$

mm and $100$ mm and the maximum aggregate size should not exceed $20$ mm$.$ It is intended to

add fly$-$ash Class C with an amount of $15\%$ of the cement content. The specific gravity of

fly$-$ash Class C is $2\mathrm{.}2.$ To take into consideration the durability issues the max. water$/$cement

ratio is $0\mathrm{.}50,$ and the minimum cement content should be $320$ kg$/1$m$3$

concrete.

The properties of the materials are as follows:

$$ Cement : Type I, specific gravity $=3\mathrm{.}15$

Coarse Aggregate: Bulk specific gravity $($SSD$)=2\mathrm{.}65$; absorption capacity $=0\mathrm{.}5\%$; dryrodded unit weight $=1605$ kg$/$m$3$; total moisture content $=1\mathrm{.}5\%$

Fine Aggregate: Bulk specific gravity $($SSD$)=2\mathrm{.}60$; absorption capacity $=2\mathrm{.}5\%$; fineness

modulus $=2\mathrm{.}70$; total moisture content $=1\mathrm{.}3\%.$

Using Absolute Volumes Method and then Weights Method, calculate the concrete

mix proportions?