$(5$ points$)$ A sandy soil has a total unit weight of $118pcf($i$.$e$.1$ cubic feet of the total soil weighs $121$ pounds$),$ specific gravity $G_s=2\mathrm{.}67,$ and a water content of $w\%=15\%.$ Please, determine:

a$.$ The weight of the solids $(W_s)$

b$..$ The weight of water $(W_w)$

c$.$ The volume of the solids $(V_s)$

d$.$ The volume of water $(V_w)$

e$.$ The volume of air $(V_a)$

Please, show your work!