A dressing recipe calls for vinegar and oil to be in the ratio 2:3 by

Question

A dressing recipe calls for vinegar and oil to be in the ratio 2 : 3 by volume, and for water and oil to be in the ratio 5 : 7 by volume. If there are no other ingredients in the recipe, which of the following statements must be true?

I. The dressing will contain more water than vinegar.
II. At least 25% of the dressing will be vinegar.
III. If you have equal volumes of each ingredient, the amount of dressing you can mix will be limited by the amount of oil.

A. I only
B. II only
C. III only
D. I and II only
E. I, II and III

Lampard42 · Answer

Arrive at the common ratio V:O:W 14:21:15 by (multiplying by 7 and 3)

I. The dressing will contain more water than vinegar. - 15 Vs 14 Yes
II. At least 25% of the dressing will be vinegar. - 14*4=56 while total parts will be 14+21+15=50. so Yes
III. If you have equal volumes of each ingredient, the amount of dressing you can mix will be limited by the amount of oil. Highest requirement will be the limiting factor, So Oil.

IMO E

CareerGeek · Answer

Given, 
v:o = 2:3
 o:w = 7:5

Take LCM of common ingredient oil = LCM(3, 7) = 21
--> v:o = 2:3 = 14:21
--> o:w = 7:5 = 21:15
--> v:o:w = 14:21:15
--> Values of v = 14k, o = 21k, w = 15k for any constant k.

I. The dressing will contain more water than vinegar. -  YES

II. At least 25% of the dressing will be vinegar. 
% Vinegar =  \frac{14k}{(14k + 21k + 15k)} *100 =  \frac{14}{50} *100 = 28% -  YES

III. If you have equal volumes of each ingredient, the amount of dressing you can mix will be limited by the amount of oil.
Equal Volumes of each --> v = o = w = 14k
--> It will be limited by vinegar (Least value) -  NO

IMO Option D

Pls Hit kudos if you like the solution

Archit3110 · Answer

ratio ; v:o:w ; 14:21:15
I. The dressing will contain more water than vinegar. ; true
II. At least 25% of the dressing will be vinegar.; true ; 14/50 ; 28% 
III. If you have equal volumes of each ingredient, the amount of dressing you can mix will be limited by the amount of oil. ; no oil is max so limitation would be because of oil which is 21
IMO E

Rohit2015 · Answer

Archit3110 Suppose u have 100 lts each of V , O & W then u mix in ratio 14:21:15 Let the multiplier be 1 then(or 1ltr of each ingredient) .... then u have mixture quantity as 14*1 21*1 15*1 Let the multiplier be 2 then u have mixture quantity as 14*2 =28 21*2 =42 15*2 =30 .. ... ..... Let the multiplier be 5 then u have mixture quantity as 14*5 =70 (possible to mix ,as we have 100Lts ) 21*5 =105 (which is not possible ...as we have 100 Ltr each ingredients as assumed initially) 15*5 =75 (possible to mix ,as we have 100Lts ) Thus Point III is must true also Hope it helps

ScottTargetTestPrep · Answer

We have the following ratios:

V : O = 2 : 3

And

W : O = 5 : 7

Since we need the O’s to be the same in both ratios, we multiply the first ratio by 7 and the second by 3:

V : O = 14 : 21

and

W : O = 15 : 21

So the ratio is:

V : O : W = 14 : 21 : 15

Now we can analyze each Roman numeral:

I. The dressing will contain more water than vinegar.

TRUE

II. At least 25% of the dressing will be vinegar.

V/total = 14/50 = 0.28 = 28%

TRUE

III. If you have equal volumes of each ingredient, the amount of dressing you can mix will be limited by the amount of oil.

The amount of dressing we can mix is limited by the ingredient that has the greatest volume in the recipe. In this case, the ingredient is oil.

TRUE

Answer: E

daina1323031 · Answer

I don't understand the reasoning of III, can anyone please explain me??

CEdward · Answer

Neither do I. Isn't the limiter the one that you have the least amount of? e.g. In chemistry, the rate "limiting" step is the slowest one. In fact, here's a question where the answer involving a limiter is the one that is present in the smallest quantity: https://gmatclub.com/forum/a-salad-dres ... 99175.html. Bunuel ScottTargetTestPrep can you chime in?

ScottTargetTestPrep · Answer

Response: Item III of this question looks similar to https://gmatclub.com/forum/a-salad-dres ... 99175.html, but the two questions are very different. In item III, we have equal amounts of vinegar, oil and water; but in the provided link, we have different amounts of each ingredient. In item III, you can assume we have 1 liter of each ingredient. Since the three-part ratio of vinegar, oil and water is 14 : 21 : 15; if we try to use the whole 1 liter of the vinegar we have, the recipe will require more than 1 liter of oil, which we don’t have. The same thing happens when we try to use all of our 1 liter of water. On the other hand, if we use all of our oil, the recipe will require less than 1 liter of vinegar and water, which we can accommodate. The question in the provided link has different quantities of oil, vinegar and water, and they need to be mixed in the ratio of 2 : 1 : 3. Each ingredient can be the limiting ingredient in this question; we have to calculate: the amount of vinegar and water necessary when 1 cup of oil is used the amount of oil and water necessary when 1/3 cup of vinegar is used the amount of water necessary when 2 cups of water is used In only one of the three scenarios above we will have enough of the remaining two ingredients and that scenario will yield the maximum number of cups of salad dressing that can be mixed.

bumpbot · Answer

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A dressing recipe calls for vinegar and oil to be in the ratio 2:3 by

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