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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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Updated on: 13 Feb 2015, 03:09
3
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Question Stats:

77% (01:32) correct 23% (01:44) wrong based on 622 sessions

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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

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.

Originally posted by ggarr on 27 Mar 2007, 19:10.
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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12 Mar 2015, 02:34
1
6
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

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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27 Mar 2007, 19:16
5
1
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
##### General Discussion
Manager
Joined: 12 Mar 2006
Posts: 229
Schools: Kellogg School of Management
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
2
1
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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Joined: 18 Oct 2006
Posts: 16
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
1
1
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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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
Intern
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Posts: 43
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
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Posts: 1856
Location: New York City
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.
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Posts: 1648
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, 23:42
1
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 and its C.
Manager
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Posts: 142
Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of  [#permalink]

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02 Nov 2011, 11:25
2
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
Intern
Joined: 29 Mar 2014
Posts: 14
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
1
[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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06 Dec 2017, 23:03
Bunuel 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?

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

2/3+1/4 = 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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07 Dec 2017, 00:36
Bunuel 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?

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

Assume Drum X capacity to be 300 and Drum Y capacity to be 600
Drum X has 150 lltrs and Drum Y has 400 ltrs
After pouring Drum y will be 550/600 = 11/12
C
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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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07 Dec 2017, 16:54
1
Bunuel 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?

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

Algebra

$$X = \frac{1}{2}Y$$

$$X$$ is half full of oil. Its oil amount constitutes:

$$\frac{1}{2}$$ of $$\frac{1}{2}Y$$

$$\frac{1}{2} * \frac{1}{2}Y=\frac{1}{4}Y$$

$$Y$$ is $$\frac{2}{3}$$ full of oil = $$\frac{2}{3}Y$$

Contents of X are poured into Y:
$$\frac{1}{4}Y + \frac{2}{3}Y=\frac{(3 + 8)}{12}=\frac{11}{12}Y$$

Pick numbers. For Y, do not go smaller than any denominator in answer choices

Let X's capacity = 6 gallons
Y's capacity = (2 * X) = 12 gallons

X is 1/2 full of oil:
6 * 1/2 = 3 gallons inside

Y is 2/3 full
12 * 2/3 = 8 gallons inside

X's oil is poured into Y:
3 + 8 = 11

$$\frac{FillAmt}{CapacityY} = \frac{11}{12}$$

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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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19 Mar 2018, 10:06
1
1
Hi All,

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

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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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20 Mar 2018, 14:08
Hi,

I figured a faster approach here:

As we know that the capacity of y = 2x, and 1/2 of x is filled with oil, hence, when you pour from x to y, 1/4 part of y is filled with oil( Refer to y= 2x)

So (1/4 + 2/3)y = 11/12y
Ans: 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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17 Jan 2020, 10:30
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

Let the Capacity of Drum X be 6 Units , So Capacity of Drum Y is 12

Drum X is filled 3 units
Drum Y is filled 8 units

Quote:
all of the oil in drum x is poured into drum y,

Volume occupied after pouring oil from drum x to drum y is 3 + 8 = 11

Quote:
then drum y will be filled to what capacity?

So, Drum y is 11/12, Answer must be (C)
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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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19 Apr 2020, 16:26
Quote:
Drum x is $$\frac{1}{2}$$ full of oil and drum y, which has twice the capacity of drum x is $$\frac{2}{3}$$ 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. $$\frac{3}{4}$$
B. $$\frac{5}{6}$$
C. $$\frac{11}{12}$$
D. $$\frac{7}{6}$$
E. $$\frac{11}{6}$$

Hello experts,
EMPOWERgmatRichC, VeritasKarishma, Bunuel, IanStewart, ArvindCrackVerbal, AaronPond, GMATinsight, JeffTargetTestPrep, ccooley
Choice D and E are improper fraction (more than 1) that means ''the position of some sorts of oil is out of drum (because the capacity is considered as 1, but here it is more than 1 in choice D and E) when we pour all of the oil of drum x into drum y.
So my question is:
Q: Will the GMAC make any correct choice where some sorts of oil's (any liquid) position will be out of the drum when one drum's oil is poured to another drum?
Thanks__
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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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19 Apr 2020, 19:42
Quote:
Drum x is $$\frac{1}{2}$$ full of oil and drum y, which has twice the capacity of drum x is $$\frac{2}{3}$$ 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. $$\frac{3}{4}$$
B. $$\frac{5}{6}$$
C. $$\frac{11}{12}$$
D. $$\frac{7}{6}$$
E. $$\frac{11}{6}$$

Hello experts,
EMPOWERgmatRichC, VeritasKarishma, Bunuel, IanStewart, ArvindCrackVerbal, AaronPond, GMATinsight, JeffTargetTestPrep, ccooley
Choice D and E are improper fraction (more than 1) that means ''the position of some sorts of oil is out of drum (because the capacity is considered as 1, but here it is more than 1 in choice D and E) when we pour all of the oil of drum x into drum y.
So my question is:
Q: Will the GMAC make any correct choice where some sorts of oil's (any liquid) position will be out of the drum when one drum's oil is poured to another drum?
Thanks__

Hi, refer the other question posted by you..
Here oil in x is put into y, which is double the capacity of x..
So if 6 is the capacity of x, 12 will be the capacity of y..
available oil is 6*1/2 + 12*2/3=11..

If we put this in y, the capacity is filled upto 11/12, so there is no spill over.
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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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20 Apr 2020, 00:49
Quote:
Drum x is $$\frac{1}{2}$$ full of oil and drum y, which has twice the capacity of drum x is $$\frac{2}{3}$$ 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. $$\frac{3}{4}$$
B. $$\frac{5}{6}$$
C. $$\frac{11}{12}$$
D. $$\frac{7}{6}$$
E. $$\frac{11}{6}$$

Hello experts,
EMPOWERgmatRichC, VeritasKarishma, Bunuel, IanStewart, ArvindCrackVerbal, AaronPond, GMATinsight, JeffTargetTestPrep, ccooley
Choice D and E are improper fraction (more than 1) that means ''the position of some sorts of oil is out of drum (because the capacity is considered as 1, but here it is more than 1 in choice D and E) when we pour all of the oil of drum x into drum y.
So my question is:
Q: Will the GMAC make any correct choice where some sorts of oil's (any liquid) position will be out of the drum when one drum's oil is poured to another drum?
Thanks__

GMAC can't give language in which there is some spillage to be considered as volume poured and available in some vassel.

Here the capacities have ensured that there is no spillage.
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Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of   [#permalink] 20 Apr 2020, 00:49

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