Author 
Message 
TAGS:

Hide Tags

Director
Joined: 12 Jun 2006
Posts: 528

Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]
Show Tags
27 Mar 2007, 20:10
4
This post was BOOKMARKED
Question Stats:
73% (01:07) correct 27% (00:59) wrong based on 307 sessions
HideShow timer Statistics
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.
Official Answer and Stats are available only to registered users. Register/ Login.
Last edited by Bunuel on 13 Feb 2015, 04:09, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.



Manager
Joined: 22 Feb 2007
Posts: 66

Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]
Show Tags
27 Mar 2007, 20:16
1
This post received KUDOS
1
This post was BOOKMARKED
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



Senior Manager
Joined: 12 Mar 2006
Posts: 359
Schools: Kellogg School of Management

Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]
Show Tags
27 Mar 2007, 20:29
1
This post was BOOKMARKED
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



Intern
Joined: 18 Oct 2006
Posts: 19

Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]
Show Tags
27 Mar 2007, 20:43
1
This post received KUDOS
1
This post was BOOKMARKED
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



CEO
Joined: 21 Jan 2007
Posts: 2704
Location: New York City

Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]
Show Tags
26 May 2007, 13:53
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



Manager
Joined: 18 Sep 2006
Posts: 58

Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]
Show Tags
26 May 2007, 14:39
[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



CEO
Joined: 21 Jan 2007
Posts: 2704
Location: New York City

Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]
Show Tags
01 Jun 2007, 23:17
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.



CEO
Joined: 29 Mar 2007
Posts: 2517

Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]
Show Tags
02 Jun 2007, 00:42
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 and its C.



Manager
Joined: 05 Oct 2011
Posts: 165

Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]
Show Tags
02 Nov 2011, 12:25
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



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]
Show Tags
11 Mar 2015, 18:30
1
This post received KUDOS
[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)



Math Expert
Joined: 02 Sep 2009
Posts: 44423

Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]
Show Tags
12 Mar 2015, 03:34



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 11316
Location: United States (CA)
GRE 1: 340 Q170 V170

Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]
Show Tags
19 Mar 2018, 11:06
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 Final Answer: GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************



Intern
Joined: 23 Jan 2018
Posts: 1

Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of [#permalink]
Show Tags
20 Mar 2018, 15:08
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 30 Sec. Logical. Simple. And Effective Posted from my mobile device




Re: Drum x is 1/2 full of oil and drum y, which has twice the capacity of
[#permalink]
20 Mar 2018, 15:08






