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.Hello
I am having troubles solving this one without knowing J
what do you think thanks

Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 2/J 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 ?

Re: PS DRUM CAPACITY [#permalink]
02 Nov 2011, 12:55

Drum x has Volume of X and is contains X/2 oil. Drum y has Volume of 2X and contains 2X*2/J or 4X/J oil.

After pouring all oil from x (X/2 oil) into y, we get 4X/J + X/2 = (8X + JX)/(2J). To find what percent of y's total volume that is, divide that by y's volume which is 2X.

The result is (8+J)/(4J). The smallest percentage that number can be is if J is infinitely large. That makes the percentage 1/4 or 25%. The largest it can be is 1 or 100% full. So J can be anywhere from 8/3 to infinity.

Conclusion is that you need J to solve this. Something is wrong with that problem.

Re: PS DRUM CAPACITY [#permalink]
03 Nov 2011, 05:38

the original problem states "..is 2/3 full of oil..". This is a official guide problem and the original poster may have mis-typed it. There is no J in the problem.

So, picking any number(6 or 100 or something else) for the drum x will give you the answer (same answer).

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