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Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]

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27 Mar 2007, 19:10

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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 capacity?

Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]

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27 Mar 2007, 19:29

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ggarr 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 capacity?

3/4 5/6 11/12 7/6 11/6

why not: drum x capacity = x drum y capacity = 2x

drum y contains 2/3(2x) = 4/3x oil drum x + y = 4/3x + 1/2x = 11/6x answer E ... this is wrong.

its correct except ... you need to divide by the actual capacity of the drum to get the fraction so
(11x/6)/(2x) = 11/12

Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]

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27 Mar 2007, 19:43

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ggarr 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 capacity?

3/4 5/6 11/12 7/6 11/6

why not: drum x capacity = x drum y capacity = 2x

drum y contains 2/3(2x) = 4/3x oil drum x + y = 4/3x + 1/2x = 11/6x answer E ... this is wrong.

The answer is in terms of Drum Y, so I did the calc in terms of Y...

So...

X is 1/2 the size of Y and is 1/2 full... so in terms of Y, X is 1/4

Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]

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26 May 2007, 12:53

ggarr 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 capacity?

3/4 5/6 11/12 7/6 11/6

There is a variation of this question. How do i set this one up?

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 capacity?

Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]

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26 May 2007, 13:39

[quote="bmwhype2"][quote="ggarr"]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 capacity?

3/4
5/6
11/12
7/6
11/6

[/quote]

There is a variation of this question. How do i set this one up?

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 capacity?

3/4
5/6
11/12
7/6
11/6[/quote]

Let C be the capacity of oil drum X
then the capacity of drum Y is 2C

if 1/2 of X is filled, then it is filled to C/2
similarly, if 2/J of Y is filled, it is filled to 4C/J

now, all of X is poured into Y, the total in Y is C/2 + 4C/J
this equals to (CJ + 8C)/2J = C(J+8)/2J
Now, Y is filled to (C(J+8)/2J)/2C = (J+8)/4J

I hope this is what you were looking for. I was a little confused with J in the question and none of the answer choices lending themselves as being correct.
cheers

Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]

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01 Jun 2007, 22:17

saurster wrote:

bmwhype2 wrote:

ggarr 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 capacity?

3/4 5/6 11/12 7/6 11/6

There is a variation of this question. How do i set this one up?

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 capacity?

3/4 5/6 11/12 7/6 11/6

Let C be the capacity of oil drum X then the capacity of drum Y is 2C

if 1/2 of X is filled, then it is filled to C/2 similarly, if 2/J of Y is filled, it is filled to 4C/J

now, all of X is poured into Y, the total in Y is C/2 + 4C/J this equals to (CJ + 8C)/2J = C(J+8)/2J Now, Y is filled to (C(J+8)/2J)/2C = (J+8)/4J

I hope this is what you were looking for. I was a little confused with J in the question and none of the answer choices lending themselves as being correct. cheers

PS1000 has many many many typos and errata? this being one of them.

Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]

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11 Mar 2015, 17:30

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[quote="ggarr"]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 capacity?

A. 3/4 B. 5/6 C. 11/12 D. 7/6 E. 11/6

Hello All,

I took the exact approach as others to solve this problem.

Let's say drum X has a capacity of 2, which means drum Y will have a capacity of 4 (twice the capacity of drum x) . if Drum x is 1/2 full then 2.1/2=1 If drum y is 2/3 full then 4.2/3=8/3. If all the oil is poured from x to y then we can add 1+8/3 = 11/3. Now to see the what drum y's capacity will be filled to we can do 11/3 divided by four, which is equal to 11/12 (c)

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 capacity?

Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]

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