Final answer:
The subject is Mathematics, focusing on ratios and proportions at the high school level. The question requires calculating the total amount of an ingredient for a recipe scaled up to multiple servings, which involves multiplication and unit conversion.
Step-by-step explanation:
Understanding Ratios in Recipes
The question involves understanding the relationship between quantities in a recipe, which is a basic concept in ratios and proportions in mathematics. For the given salad dressing recipe, the ratio of oil to vinegar is 3 tablespoons of oil for every 2 tablespoons of vinegar. This represents a fixed ratio that must be maintained regardless of the quantity of salad dressing being made.
Applying this to Henrietta's luncheon scenario, we calculate the total amount of Romano cheese needed by using the ratio of cheese per salad and scaling it up for the total number of salads:
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- Multiply the number of salads, 8, by the amount of cheese per salad, 7 tablespoons, to get the total amount needed in tablespoons.
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- Convert the total amount in tablespoons to cups if necessary, using the conversion factor that 16 tablespoons equals 1 cup.
The calculation is as follows: 8 salads × 7 tablespoons per salad = 56 tablespoons. Since there are 16 tablespoons in a cup, you divide 56 by 16 to find the corresponding number of cups.