It is currently 25 Nov 2020, 00:12

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# the population of Colorado was approximately half

Author Message
TAGS:
Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 175

Kudos [?]: 3034 [2] , given: 394

the population of Colorado was approximately half [#permalink]  20 Jan 2016, 18:44
2
KUDOS
Expert's post
00:00

Question Stats:

79% (01:07) correct 20% (01:25) wrong based on 153 sessions
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 $$\frac{1}{2}$$

Practice Questions
Question: 10
Page: 459
Difficulty: medium
[Reveal] Spoiler: OA

_________________

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

Try our free Online GRE Test

Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 175

Kudos [?]: 3034 [7] , given: 394

Re: the population of Colorado was approximately half [#permalink]  23 Jan 2016, 01:46
7
KUDOS
Expert's post
Solution

The 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

GRE Instructor
Joined: 10 Apr 2015
Posts: 3907
Followers: 163

Kudos [?]: 4766 [2] , given: 70

Re: the population of Colorado was approximately half [#permalink]  14 Jul 2016, 14:36
2
KUDOS
Expert's post
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 1/28
B 1/14
C 1/7
D 1/4
E 1/2

Another approach is to plug in some NICE VALUES that meet the given condition.

the population of Colorado was approximately half that of New Jersey
Say Colorado's population = 14 and New Jersey's population is 28

the land area of Colorado was approximately 14 times that of New Jersey
Say Colorado's area = 14 and New Jersey's area = 1

Colorado density = 14/14 = 1
New Jersey density = 28/1 = 28

Colorado's density is 1/28 that of New Jersey's density

[Reveal] Spoiler:
A

_________________

Brent Hanneson – Creator of greenlighttestprep.com

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 09 May 2016
Posts: 161
Location: United States
Followers: 8

Kudos [?]: 201 [1] , given: 0

Re: the population of Colorado was approximately half [#permalink]  18 May 2018, 10:04
1
KUDOS
Expert's post
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 1/28
B 1/14
C 1/7
D 1/4
E 1/2

We can let the population of Colorado = c and that of New Jersey = 2c.

We can let the land area of New Jersey = a and that of Colorado = 14a

Thus, the population density (number of persons per unit of land area) of Colorado in year Y is (c/(14a))/(2c/a) = ca/(28ac) = 1/28 times that of New Jersey.

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com
41 Reviews

5-star rated online GRE quant
self study course

See why Target Test Prep is the top rated GRE quant course on GRE Prep Club. Read Our Reviews

Intern
Joined: 13 Aug 2018
Posts: 1
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: the population of Colorado was approximately half [#permalink]  13 Aug 2018, 22:10
1/28
Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 175

Kudos [?]: 3034 [0], given: 394

Re: the population of Colorado was approximately half [#permalink]  14 Aug 2018, 02:53
Expert's post
obinnauzo wrote:
1/28

_________________

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

Try our free Online GRE Test

Re: the population of Colorado was approximately half   [#permalink] 14 Aug 2018, 02:53
Display posts from previous: Sort by