SolutionThe information given in the question can be rewritten algebraically as follows.

population of Colorado = \(\frac{1}{2}* population of New Jersey\)

land area of Colorado = \(14 * land area of New Jersey\)

Using the information given and the fact that population density is the number of persons per unit of land area, you can express the population density of Colorado in terms of the population density of New Jersey as follows.

population density of Colorado = \(\frac{population of Colorado}{land area of Colorado}\)

= \(\frac{1}{2}* (population of New Jersey))/ 14 * (land area of New Jersey)\)

= \(\frac{1}{2}*\frac{1}{14}*\frac{population of New Jersey}{land area of New Jersey}\)

= \(\frac{1}{28}* population density of New Jersey\)

Thus, the population density of Colorado was approximately \(\frac{1}{28}\) times the population density of New Jersey. The correct answer is

Option A.

_________________

Sandy

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test