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# A certain x-liter solution, contains twice as much water as oil and fo

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Math Expert
Joined: 02 Sep 2009
Posts: 50708
A certain x-liter solution, contains twice as much water as oil and fo  [#permalink]

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04 Apr 2017, 03:39
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Difficulty:

45% (medium)

Question Stats:

68% (01:41) correct 32% (01:32) wrong based on 98 sessions

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A certain x-liter solution, contains twice as much water as oil and four times as much oil as vinegar, what is x?

(1) The solution contains 5 liters of oil.
(2) The solution contains 800/13 percent water.

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Joined: 21 Mar 2016
Posts: 522
Re: A certain x-liter solution, contains twice as much water as oil and fo  [#permalink]

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04 Apr 2017, 11:23
stat 1 : clearly suff,, given content of oil..
hence vinegar can be found out,, water also can be found out

stat 2 : given in terms of percentage,,, not suff..

ans A
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Joined: 05 Jun 2016
Posts: 22
Re: A certain x-liter solution, contains twice as much water as oil and fo  [#permalink]

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12 May 2017, 21:52
1
Let the solution contains v liters of vinegar.
therfore oil = 4 (v) [from prompt ]
and w = 2(o) [from prompt]

Statement 1: oil = 5 liters
therfore water = 10 liters and v = 5/4 = 1.25 liters hence can calculate the value of x = 1.25 + 5 + 10 = 16.25 liters.

Statement 2 : solution contain 60 % water , 40 % vinegar and oil .
but we do not have any concrete value for any of the one variables hence cannot find the value of x.
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Joined: 01 Dec 2017
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Location: Italy
Schools: IMD Jan'18
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Re: A certain x-liter solution, contains twice as much water as oil and fo  [#permalink]

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06 Feb 2018, 04:02
1
Bunuel wrote:
A certain x-liter solution, contains twice as much water as oil and four times as much oil as vinegar, what is x?

(1) The solution contains 5 liters of oil.
(2) The solution contains 60 percent water.

Hi Bunuel, from statement 2 I obtain something like this : since the ratio of oil to water to vinegar is 4x:8x:x and statement 2 states "water = 0.6 total " we can write

8x = 0.6 * 13x

which is never verified for any x unless x= 0 ...so I think this statement contradicts the first 1 somehow? something should never happen in a DS question even if the statement is not sufficient by himself...? Also if you calculate the % of water in the solution from 1) , it is not 60%.....

Thanks
Math Expert
Joined: 02 Sep 2009
Posts: 50708
Re: A certain x-liter solution, contains twice as much water as oil and fo  [#permalink]

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06 Feb 2018, 04:34
teone83 wrote:
Bunuel wrote:
A certain x-liter solution, contains twice as much water as oil and four times as much oil as vinegar, what is x?

(1) The solution contains 5 liters of oil.
(2) The solution contains 60 percent water.

Hi Bunuel, from statement 2 I obtain something like this : since the ratio of oil to water to vinegar is 4x:8x:x and statement 2 states "water = 0.6 total " we can write

8x = 0.6 * 13x

which is never verified for any x unless x= 0 ...so I think this statement contradicts the first 1 somehow? something should never happen in a DS question even if the statement is not sufficient by himself...? Also if you calculate the % of water in the solution from 1) , it is not 60%.....

Thanks

You are right. Edited the second statement to fix this issue.
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Re: A certain x-liter solution, contains twice as much water as oil and fo &nbs [#permalink] 06 Feb 2018, 04:34
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