If she already has combined 3 cups of vinegar and 1 cup of oil, how many cups of oil should she add. What is the total cost of her completed recipe?
Madison is making a vinaigrette for her catering service using olive oil that costs 40 cents per ounce and apple cider vinegar that costs 25 cents per ounce. The ideal batch of vinaigrette has 25% vinegar.
The ideal composition of vinaigrette according to the recipe is 25% vinegar. Madison adds 3 cups of vinegar in 1 cup of oil. Let the extra oil needed to reduce the percentage of vinegar to 25% be O.
3/(3 + 1 + O) = 0.25
=> 3 = 0.75 + 0.25 + 0.25*O
=> 0.25*O = 2
=> O = 8
An extra 8 cups of oil needs to be added to balance the oil and the vinegar. The total cost of the recipe is 9*40 + 3*25 = 435 cents.