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Levon has carrots, Brussel sprouts, and celery sticks in his refrigera

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Levon has carrots, Brussel sprouts, and celery sticks in his refrigera  [#permalink]

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New post Updated on: 07 Oct 2019, 19:48
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EMPOWERgmat DS Series:
Pack 2, Question 3

Levon has carrots, Brussel sprouts, and celery sticks in his refrigerator. What is the ratio of the number of carrots to the number of celery sticks?

(1) The number of carrots is 8/15 the number of Brussel sprouts
(2) The number of Brussel sprouts is three times the number of celery sticks.

*Note: the original prompt had some missing information which did not actually impact the correct answer. The initial explanations that follow this question were based on what was originally posted.*

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Originally posted by EMPOWERgmatRichC on 04 Oct 2019, 16:57.
Last edited by EMPOWERgmatRichC on 07 Oct 2019, 19:48, edited 1 time in total.
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Re: Levon has carrots, Brussel sprouts, and celery sticks in his refrigera  [#permalink]

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New post 04 Oct 2019, 19:29
1
EMPOWERgmatRichC wrote:
EMPOWERgmat DS Series:
Pack 2, Question 3

Levon has carrots, Brussel sprouts, and celery sticks in his refrigerator. What is the ratio of the number of carrots to the number of celery sticks?
(1) The number of carrots is the number of Brussel sprouts
(2) The number of Brussel sprouts is three times the number of celery sticks.



We have three items - carrots - C, Brussel sprouts - B, and celery sticks - S...And we have to find the ratio of C:S

(I) C=B...Nothing about S

(II) B=3S....Nothing about C.

Combined..
C=B=3S, so C:S = 3S:S=3:1
Sufficient

C
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Re: Levon has carrots, Brussel sprouts, and celery sticks in his refrigera  [#permalink]

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New post 05 Oct 2019, 02:56
1
# of Carrots = Ca
# of Brussel sprouts= B
# of Celery = Ce

we need to find Ca: Ce=?

Statement 1) Ca=B. No info about Ce. Clearly Insufficient. Strike off A and D
Statement 2) B=3*Ce . No info about Ca. Clearly Insufficient. Strike off B

St 1 + St 2) Ca=B=3Ce . Ca:Ce= 1:3 . Sufficient. Hence C is correct
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Re: Levon has carrots, Brussel sprouts, and celery sticks in his refrigera  [#permalink]

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New post 07 Oct 2019, 19:47
OFFICIAL EXPLANATION

Hi All,

We're told that Levon has carrots, Brussel sprouts, and celery sticks in his refrigerator. We're asked for the ratio of the number of carrots to the number of celery sticks. This question can be solved in a couple of different ways, including with a mix of logic and TESTing VALUES.

1) The number of carrots is 8/15 the number of Brussel sprouts.

Fact 1 gives us a ratio between the number of carrots and the number of Brussel sprouts, but tells us nothing about the number of celery sticks.
Fact 1 is INSUFFICIENT

2) The number of Brussel sprouts is three times the number of celery sticks.

Fact 2 gives us a ratio between the number of Brussel sprouts and the number of celery sticks, but tells us nothing about the number of carrots.
Fact 2 is INSUFFICIENT

Combined, we know...

The number of carrots is 8/15 the number of Brussel sprouts
The number of Brussel sprouts is three times the number of celery sticks.

With both Facts, we can TEST VALUES and look for a pattern...
IF....
carrots = 8, Brussel sprouts = 15, celery sticks = 5... then the answer to the question is 8:5.
carrots = 16, Brussel sprouts = 30, celery sticks = 10... then the answer to the question is 16:10 = 8:5.
carrots = 24, Brussel sprouts = 45, celery sticks = 15... then the answer to the question is 24:15 = 8:5.
The answer is always 8:5
Combined, SUFFICIENT

Final Answer: C

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Re: Levon has carrots, Brussel sprouts, and celery sticks in his refrigera   [#permalink] 07 Oct 2019, 19:47
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