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A vinegar and oil salad dressing contains v liters of vinegar and w

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A vinegar and oil salad dressing contains v liters of vinegar and w [#permalink]

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New post 25 Jan 2017, 05:55
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A vinegar and oil salad dressing contains v liters of vinegar and w liters of oil. If there are 5 liters of the dressing in a jar, how much vinegar is in the jar?

(1) (w + 2.5)/7.5 = 1/2
(2) If 2.5 liters of oil were added to the jar, 50% of the dressing would be vinegar.
[Reveal] Spoiler: OA

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Re: A vinegar and oil salad dressing contains v liters of vinegar and w [#permalink]

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New post 25 Jan 2017, 10:06
stat 1 : suff,,,value w can be caluculated,,hance v,

stat 2 : suff,,
hence ans D

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Re: A vinegar and oil salad dressing contains v liters of vinegar and w [#permalink]

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New post 25 Jan 2017, 11:28
Bunuel wrote:
A vinegar and oil salad dressing contains v liters of vinegar and w liters of oil. If there are 5 liters of the dressing in a jar, how much vinegar is in the jar?

(1) (w + 2.5)/7.5 = 1/2
(2) If 2.5 liters of oil were added to the jar, 50% of the dressing would be vinegar.



(1) w= 1.25
thus v= 5-1.25
V= 3.75 lts
suff

(2) if 2.5 lts oil added to 5 lts then total volume becomes = 7.5lts
50% of 7.5 = 7.5/2= 3.75lts
v=3.75 lts
suff

Ans D

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Re: A vinegar and oil salad dressing contains v liters of vinegar and w [#permalink]

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New post 29 Nov 2017, 09:23
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Bunuel wrote:
A vinegar and oil salad dressing contains v liters of vinegar and w liters of oil. If there are 5 liters of the dressing in a jar, how much vinegar is in the jar?

(1) (w + 2.5)/7.5 = 1/2
(2) If 2.5 liters of oil were added to the jar, 50% of the dressing would be vinegar.


Target question: What is the value of v?

Given: A vinegar and oil salad dressing contains v liters of vinegar and w liters of oil. There are 5 liters of the dressing in a jar.
Since the TOTAL volume is 5, we can write v + w = 5

Statement 1: (w+2.5)/7.5 = 1/2
We need only recognize that we COULD solve this equation for w.
Once we know the value of w, we can plug it into the given equation v + w = 5 to find the value of v
Since we COULD answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: If 2.5 liters of oil were added to the jar, 50% of the dressing would be vinegar.
Let's keep track of volumes in the hypothetical scenario...
If we add 2.5 liters of oil, the NEW volume of oil = w + 2.5 liters
In this scenario, the volume of vinegar = v liters
So, the NEW TOTAL volume = w + 2.5 + v
We're told that 50% (aka 1/2) of the TOTAL VOLUME is vinegar.
So, we can write: v/(w + 2.5 + v) = 1/2
Cross multiply to get: 2v = w + 2.5 + v
Simplify: v = w + 2.5
Since this equation is different from the given equation, v + w = 5, we COULD solve the system of equations and determine the values of v and w (however, actually performing those calculations would be a huge waste of time since we need only determine whether statement 2 provides sufficient information to answer to the target question)
Since we COULD answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent
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Re: A vinegar and oil salad dressing contains v liters of vinegar and w   [#permalink] 29 Nov 2017, 09:23
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