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Oil drum and capacity

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by BlueDragon2010 » Sun Mar 02, 2014 1:49 pm
Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 2/3 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what fraction of its capacity?

A) 3/4
B) 5/6
C) 11/12
D) 7/6
E) 11/6
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by Patrick_GMATFix » Sun Mar 02, 2014 2:00 pm
Plugging in values for the capacities makes sense; good values would be common multiples of the denominators in the question and answers. For instance we could make Capacity_X=12 and Capacity_Y=24 and go from there.

The answer is C. I go through the question in detail in the full solution below (taken from the GMATFix App).

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by [email protected] » Sun Mar 02, 2014 2:55 pm
Hi BlueDragon2010,

TESTing Values will work great on this question. Based on what the question asks for and the answer choices, a great number to pick for Drum Y's capacity is 12. That number is based on the common denominator of the 5 options.

Now, we just need to follow the facts in this question and create a little table:

We're told that Drum Y is 2/3 full of oil:

Drum Y = capacity of 12; has 8 in it

We're also told that Drum Y has twice the capacity of Drum X and that Drumb X is 1/2 full of oil:

Drum X = capacity of 6; has 3 in it

Finally, we're told to pour the oil from Drum X into Drum Y....

Drum Y = 8+3 = 11
Drum Y is 11/12 full

Final Answer: C

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by Abhishek009 » Mon Mar 03, 2014 8:56 am
BlueDragon2010 wrote:Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 2/3 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what fraction of its capacity?
Let capacity of Drum X be 6 Units
BlueDragon2010 wrote:Drum X is 1/2 full of oil
X is filled 3 Units
BlueDragon2010 wrote:drum Y, which has twice the capacity of drum X,
Capacity of Drum Y is 12 Units
BlueDragon2010 wrote:drum Y,is 2/3 full of oil.
Oil in Drum Y is 8 Units
BlueDragon2010 wrote:If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what fraction of its capacity?
Now the situation is

Drum X has 3 units

Drum Y has 8 Units

BlueDragon2010 wrote:If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what fraction of its capacity?
This means 3 units of oil from Drum X is poured in Drum Y

So Drum X ( 3 Units )--- GOES INTO ----> Drum Y ( 8 Units )

After pouring oil of Drum X into Drum Y the Picture will be .

Drum X ( 0 Units )--- GOES INTO ----> Drum Y ( 11 Units )


We know Drum Y has a total capacity of 12 units and it is filled 11 units
BlueDragon2010 wrote:drum Y will be filled to what fraction of its capacity?
Drum Y is filled 11 / 12 Units

Hence answer is (C) 11 /12
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by theCodeToGMAT » Mon Mar 03, 2014 10:27 pm
Let Capacity of Drum X = 150L
and Drum Y = 300L

Oil in Drum X = 75 L
Oil in Drum Y = 2/3 * 300 = 200L

Oil poured in to Drum Y => Oil in Drum Y = 275L

Capacity Ratio = 275/300 = 11/12

[spoiler]{C}[/spoiler]
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