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A dressing recipe calls for vinegar and oil to be in the ratio 2 : 3 b
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18 Jan 2023, 05:44
18 Jan 2023, 05:44
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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 3 : 7 by volume. If there are no other ingredients in the recipe, which of the following statements must be true?
Indicate all that apply
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 you have equal volumes of each ingredient, the amount of dressing you can mix will be limited by the amount of oil.
_________________
Indicate all that apply
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 you have equal volumes of each ingredient, the amount of dressing you can mix will be limited by the amount of oil.
_________________
Re: A dressing recipe calls for vinegar and oil to be in the ratio 2 : 3 b
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20 Jan 2023, 05:00
20 Jan 2023, 05:00
Expert Reply
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OE
You can write the given relationships as V : O = 2 : 3 and W : O = 5 : 7- ln order to combine both expressions into a single overall ratio, you first need to make sure that the common element in the two ratios (namely oil) appears as the same number in both ratios. The least common multiple of 3 and 7 is 21, so if you multiply the first ratio by 7 and the second ratio by 3, you can achieve your goal: V : O = 14 : 21 and W : O = 15 : 21, such that V : O : W : Total = 14:21 : 15: 50 (note that the 50 in the combined ratio is simply the sum of the preceding numbers.
You can now see that choice (A) is true: water to vinegar is in the ratio 15 : 14. Choice (B) is also correct: vinegar makes up 14/50=28% of the mixture.
Choice (C) is false, because 15/50=3/10 or 30% not 3/9 or 1/3
Finally, choice (D) is also correct because you can see that the item you consume the most of is oil. Therefore, given equal amounts to begin with, you will run out of oil the soonest.
_________________
You can write the given relationships as V : O = 2 : 3 and W : O = 5 : 7- ln order to combine both expressions into a single overall ratio, you first need to make sure that the common element in the two ratios (namely oil) appears as the same number in both ratios. The least common multiple of 3 and 7 is 21, so if you multiply the first ratio by 7 and the second ratio by 3, you can achieve your goal: V : O = 14 : 21 and W : O = 15 : 21, such that V : O : W : Total = 14:21 : 15: 50 (note that the 50 in the combined ratio is simply the sum of the preceding numbers.
You can now see that choice (A) is true: water to vinegar is in the ratio 15 : 14. Choice (B) is also correct: vinegar makes up 14/50=28% of the mixture.
Choice (C) is false, because 15/50=3/10 or 30% not 3/9 or 1/3
Finally, choice (D) is also correct because you can see that the item you consume the most of is oil. Therefore, given equal amounts to begin with, you will run out of oil the soonest.
_________________
gmatclubot
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