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

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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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New post 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?

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

[Reveal] Spoiler:
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.
[Reveal] Spoiler: OA

Last edited by Bunuel on 13 Feb 2015, 03:09, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.

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

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New post 27 Mar 2007, 19:16
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pick numbers -

drum A capacity 3 units
drum B capacity 6 units

drum A contains 1.5 units.
drum B contains4 units.

drum B gets filled 5.5 after pouring 1.5 from A to B.

Hence drum B is full 5.5/6 of its capacity. i.e. 11/12

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

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New post 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

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

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New post 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

Y as we already know is 2/3 full...

therefore, when you add the two drums together...

2/3 + 1/4 = (8+3)/12 = 11/12

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

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New post 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?

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

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

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New post 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

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

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New post 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.

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

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New post 01 Jun 2007, 23:42
Love the solutions here. Thx.

Heres how I solved it.

Drum x is 1/2 of y or 2x=y

Pick numbers:

x=50, y=100 Holds true to the equations above.

2/3 of y = 66.66666... 1/2 of x = 25.

Add 25+66.66666 = 91.6666666... Now just find an answer choice that has this percentage :-D and its C.

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

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New post 02 Nov 2011, 11:25
Picking smart numbers like 6 or 100 will give the answer.

Lets say Drum x capacity is 100. Drum Y capacity will be 200.

Oil in drum x is 50
Oil in drum y is 100* 2/3 = 400/3

Fraction of oil in y after x is emptied into y is = (50 + 400/3) / 200
= 550/600
= 11/12
Answer is c

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

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New post 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)

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

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New post 12 Mar 2015, 02:34
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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?

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

[Reveal] Spoiler:
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.


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

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Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of   [#permalink] 11 Nov 2017, 02:58
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