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The population of City A is three times the population of City B. Toge

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The population of City A is three times the population of City B. Toge [#permalink]

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New post 23 Feb 2017, 20:58
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

74% (00:37) correct 26% (00:32) wrong based on 72 sessions

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The population of City A is three times the population of City B. Together, Cities A and B have twice the population of City C. What is the ratio of the population
of City C to the population of City B?

○A○ 1 : 4
○B○ 1 : 2
○C○ 2 : 1
○D○ 3 : 1
○E○ 4 : 1
[Reveal] Spoiler: OA
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Re: The population of City A is three times the population of City B. Toge [#permalink]

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New post 24 Feb 2017, 05:32
vikasp99 wrote:
The population of City A is three times the population of City B. Together, Cities A and B have twice the population of City C. What is the ratio of the population
of City C to the population of City B?

○A○ 1 : 4
○B○ 1 : 2
○C○ 2 : 1
○D○ 3 : 1
○E○ 4 : 1


The population of City A is three times the population of City B

i.e. if B = x then A = 3x


Together, Cities A and B have twice the population of City C

i.e. Together A and B = 3x + x = 4x then C=(1/2)*4x = 2x


C/B = 2x / x = 2/1

Answer: Option C
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Re: The population of City A is three times the population of City B. Toge [#permalink]

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New post 26 Feb 2017, 12:20
Hi vikasp99,

This question can be solved by TESTing VALUES.

We're told that the population of City A is three times the population of City B.

IF....
City A = 300 people
City B = 100 people

Next, we're told that together, Cities A and B have twice the population of City C....

City A + City B = 400 people
City C = 200 people

We're then asked for the ratio of the population of City C to the population of City B.

C:B = 200:100 = 2:1

Final Answer:
[Reveal] Spoiler:
C


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Re: The population of City A is three times the population of City B. Toge [#permalink]

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New post 27 Feb 2017, 10:57
vikasp99 wrote:
The population of City A is three times the population of City B. Together, Cities A and B have twice the population of City C. What is the ratio of the population
of City C to the population of City B?

○A○ 1 : 4
○B○ 1 : 2
○C○ 2 : 1
○D○ 3 : 1
○E○ 4 : 1


We can let the population of City A = A, the population of City B = B, and the population of City C = C, and create the following equations:

A = 3B

and

A + B = 2C

We can substitute 3B for A in the equation A + B = 2C:

3B + B = 2C

4B = 2C

2B = C

2/1 = C/B

Answer: C
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Re: The population of City A is three times the population of City B. Toge   [#permalink] 27 Feb 2017, 10:57
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