Madison is making a vinaigrette for her catering service using olive oil that costs forty cent per ounce and apple cider vinegar that costs twenty-five cents an ounce.The ideal batch of vinaigrette has 25% vinegar.If she has already 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?
Cross multiply and solve for x.
0.25/1 = 3/x
0.25x = 3
x = 12
12 - 1 = 11
Vinegar: 3 cups = 24 oz.
24 * 0.25 = $6.
Oil: 12 cups = 96 oz.
96 * 0.45 = $43.20
43.2 + 6 = ?
49.2
To determine how many cups of oil Madison should add, we need to first calculate the volume of the completed recipe. Since Madison has already combined 3 cups of vinegar and 1 cup of oil, the total volume of the completed recipe is 3 cups of vinegar + 1 cup of oil = 4 cups.
To maintain the ideal 25% vinegar concentration, the volume of vinegar should be 25% of the total volume. So, 25% of 4 cups is (25/100) * 4 cups = 1 cup.
Madison already has 3 cups of vinegar, so she needs to add 1 - 3 = -2 cups of vinegar. However, since it is not possible to have a negative volume, we can conclude that there is an error in the given information. Either the vinegar measurement is incorrect, or the desired vinegar concentration is different from 25%.
Without knowing the correct amount of vinegar and the desired vinegar concentration, we cannot calculate the number of cups of oil to add or the total cost of the recipe.