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?
Indicate
all such statements.
[A] The dressing will contain more water than vinegar.
[B] At least 25% of the dressing will be vinegar.
[C] There will be 3 ounces of water in 9 ounces of dressing.
[D] If we have equal volumes of each ingredient, the amount of dressing we can mix will be limited by the amount of oil.
This is from the Manhattan Word Problem guide. The official answers are A, B, and D. However, I am not sure of the answer choice B. The combined ratio of Vinegar, Oil, and Water would be 14:21:15 respectively with the total sum would be 50. If we multiply everything by 2, we get 28:42:30 (with a total of 100), implying Vinegar would be 28% in any amount of dressing. With this, how can one account for the least composition of Vinegar as 25%?