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If a restaurant's salad dressing is made with a ratio of 3/4 cup oil to 1/4 cup vinegar, how many cups of vinegar are there in 6 cups of salad dressing?

Answer :

Final answer:

To find the amount of vinegar in 6 cups of dressing with a 3:1 oil to vinegar ratio, divide the total dressing by 4 (6 cups / 4 = 1.5 cups of vinegar).

Explanation:

To determine how many cups of vinegar are in 6 cups of salad dressing when the ratio of oil to vinegar is 3:1 (3/4 cup oil to 1/4 cup vinegar), we must first understand that the total ratio of ingredients is 4 parts (3 parts oil + 1 part vinegar). Since the vinegar makes up 1 out of these 4 parts, we can calculate the amount of vinegar in 6 cups of dressing by dividing the total dressing amount (6 cups) by the total number of parts (4 parts).

Therefore:

  1. Calculate 1 part vinegar: 6 cups \/ 4 parts = 1.5 cups of vinegar.
  2. We use the ratio to find out that the 6 cups of salad dressing contain 1.5 cups of vinegar.

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