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.

Correct answer marked below

I only

II only

III only

I and II only

I, II and III

Correct

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What this question tests

Your ability to reason about weighted averages and the composition of mixtures.

Averaging the percentages of two solutions without weighting by their volumes.