$22$ We require a mix with a mean $28-$day compressive strength of $35$MPa. The slump is selected to be $90mm.$ The maximum size of aggregate is $25mm,$ its bulk density is $1670k\frac{g}{m}3,$ and its specific gravity is $2\mathrm{.}56.$ The available fine aggregate has a fineness modulus of $2\mathrm{.}80$ and a specific gravity of $2\mathrm{.}61.$ No air entrainment is required. The cement relative density is $3\mathrm{.}15.$

$1-$ Design the concrete mix according to ACI method satisfying the above requirements $($find water, cement, fine and coarse aggregate masses $($in $k\frac{g}{m^3})$ and volumes $($in $m^3)$ to form $1m^3$ of concrete.$).$

$2-$ If you have a concrete delivery truck of $6m^3$ capacity, what are the amounts of water, cement, fine and coarse aggregate $($in $kg)$ that this truck will be loaded for its full capacity?