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City X has a population 4 times as great as the population of City Y,

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City X has a population 4 times as great as the population of City Y,  [#permalink]

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New post 14 Jun 2016, 13:48
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City X has a population 4 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z?

A) 1:8
B) 1:4
C) 2:1
D) 4:1
E) 8:1


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City X has a population 4 times as great as the population of City Y,  [#permalink]

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New post Updated on: 15 May 2020, 05:42
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AbdurRakib wrote:
City X has a population 4 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z?

A) 1:8
B) 1:4
C) 2:1
D) 4:1
E) 8:1


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A nice (fast) approach is to plug in some numbers that meet the given conditions.

City Y has a population twice as great as the population of City Z
Let's say the population of City Z is 1 person
This means the population of City Y is 2 people

City X has a population 4 times as great as the population of City Y
If the population of City Y is 2 people, then the population of City X is 8 people

So, the ratio of the population of City X to the population of City Z = 8 to 1

Answer: E
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Originally posted by BrentGMATPrepNow on 14 Jun 2016, 14:05.
Last edited by BrentGMATPrepNow on 15 May 2020, 05:42, edited 1 time in total.
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Re: City X has a population 4 times as great as the population of City Y,  [#permalink]

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New post 02 Jul 2016, 21:11
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1
x= 4y, y= 2*z

X : Y , Y : Z
4 : 1 , 2 : 1
8 : 2 , 2 : 1

So, X : Z = 8 : 1
(E)
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Re: City X has a population 4 times as great as the population of City Y,  [#permalink]

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New post 03 Oct 2016, 21:18
X=4Y , Y=2Z
X=4(2Z)=8Z
X/Z = 8 =>X:Z=8:1
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Re: City X has a population 4 times as great as the population of City Y,  [#permalink]

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New post 02 Dec 2016, 05:50
1
AbdurRakib wrote:
City X has a population 4 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z?

A) 1:8
B) 1:4
C) 2:1
D) 4:1
E) 8:1


We are given that City X has a population 4 times as great as the population of City Y and that City Y has a population twice as great as the population of City Z.

If we let the population of City X = x, the population of city Y = y, and the population of city Z = z, we can create the following equations:

x = 4y

AND

y = 2z

We need to determine the ratio of the population of City X to the population of City Z, or x/z.

To determine the ratio, we can get both x and z in terms of y, so we have:

x = 4y and z = y/2.

We can substitute 4y for x and y/2 for z in the ratio x/z:

(4y)/(y/2) = (4y)(2/y) = 8.

Thus, the ratio is 8 : 1.

Answer: E
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Re: City X has a population 4 times as great as the population of City Y,  [#permalink]

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New post 26 Feb 2017, 13:39
1
2
Make a table with xyz
TEST IT strategy
Z = 100
Y = 2Z = 200
X = 4Y = 800
X : Z = 800 : 100
8:1
E
:)
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Re: City X has a population 4 times as great as the population of City Y,  [#permalink]

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New post 24 Mar 2018, 07:25
1
AbdurRakib wrote:
City X has a population 4 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z?

A) 1:8
B) 1:4
C) 2:1
D) 4:1
E) 8:1


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Short and simple, start working with Z
Attachment:
POPULATION.PNG
POPULATION.PNG [ 929 Bytes | Viewed 14843 times ]
Thus, Answer must be (E) 8:1
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Re: City X has a population 4 times as great as the population of City Y,  [#permalink]

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New post 21 May 2020, 18:35
City X City Y. City Z

let's start from right to left : for example, let City z has 10 people

City Y has a population twice as great as the population of City Z

SO City Y has 10*2=20 people,

City X has a population 4 times as great as the population of City Y,

SO City X has 20*4= 80 people,

Q:What is the ratio of the population of City X to the population of City Z?

City X people.
___________ = 80/10 = 8/1 ( Ans E)

City Z people
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Re: City X has a population 4 times as great as the population of City Y,   [#permalink] 21 May 2020, 18:35

City X has a population 4 times as great as the population of City Y,

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