Application to Civil Engineering practice: A contractor needs $220y{d}^3$ of compacted

aggregate base material for a highway construction project, compacted to a dry unit weight

of $130l\frac{b}{f}{t}^3.$ This material is available in a stockpile at a local material supply yard, but is

sold by the ton, not the cubic yard. The moisture content of the stockpile is $7\mathrm{.}5\%.$ How many

tons of aggregate base material should the contractor purchase to have exactly the correct

volume of compacted material? $(21$ pts$)$