Practical application of concepts & an FE$-$type question. A contractor needs $214$ yd$3$ of

a VDOT $$select fill$$ that is given the designation $"21$b$"$ to use as an aggregate base material

for a highway construction project. A sample of $21$b select fill material is available for you to

see in Rm$.17$ Patton.

The $21$b soil will be compacted to a dry unit weight of $130$ lb$/$ft$3.$ The material is available in

a stockpile at a local quarry, but it is sold by the ton, not the cubic yard. The moisture

content of the stockpile is $7\mathrm{.}0\%.$ How many tons of $21$b aggregate should the contractor

purchase to have exactly the correct volume of compacted material?