sandy wrote:
In year Y, the population of Colorado was approximately half that of New Jersey, and the land area of Colorado was approximately 14 times that of New Jersey. The population density (number of persons per unit of land area) of Colorado in year Y was approximately how many times the population density of New Jersey?
A \(\frac{1}{28}\)
B \(\frac{1}{14}\)
C \(\frac{1}{7}\)
D \(\frac{1}{4}\)
E \(\frac{1}{2}\)
Let the population of New Jersey in year Y be \(1000\)
So the population of Colorado in year Y will be \(500\)
Also, Let the area of New Jersey be \(A\)
So the area of Colorado will be \(14A\)
Population density of Colorado = x (Population density of Colorado)
\(\frac{1000}{14A} = x (\frac{500}{A})\)
\(x = \frac{(500)(A)}{(1000)(14A)} = \frac{1}{28}\)
Hence, option A
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I hope this helps!
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Karun Mendiratta
Founder and Quant Expert
Prepster Education
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