Katie uses 4 cups of vinegar in her salad dressing recipe. How much vinegar would Katie use to make $35 / 8$ recipes?
Write your answer as a fraction or as a whole or mixed number.
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Final Answer: Katie would use \(\boxed{17.5}\) cups of vinegar to make \(\frac{35}{8}\) recipes.
Step 1 :The problem is asking for the total amount of vinegar Katie would use if she made \(\frac{35}{8}\) recipes.
Step 2 :We know that Katie uses 4 cups of vinegar for one recipe.
Step 3 :We can find the total amount of vinegar used by multiplying the number of recipes by the amount of vinegar used in one recipe.
Step 4 :Let's denote the number of recipes as \(r = \frac{35}{8}\) and the amount of vinegar per recipe as \(v = 4\).
Step 5 :The total amount of vinegar used can be calculated as \(t = r \times v\).
Step 6 :Substituting the values we have, \(t = \frac{35}{8} \times 4 = 17.5\).
Step 7 :Final Answer: Katie would use \(\boxed{17.5}\) cups of vinegar to make \(\frac{35}{8}\) recipes.