Final answer:
To scale a recipe from 12 servings to 150, multiply each ingredient by a scaling factor obtained by dividing the desired servings (150) by the original servings (12), which is 12.5. For the given example with soup, multiplying 375 milliliters per person by 100 guests yields 37,500 milliliters, or 37.5 liters of soup for the party.
Step-by-step explanation:
Scaling a Recipe from 12 Servings to 150 Servings
To scale a recipe from 12 servings to 150 servings, you need to determine the scaling factor first. This is done by dividing the desired number of servings by the original number of servings. For this example, you would calculate 150 servings / 12 servings, which equals 12.5. This tells us that each ingredient in the original recipe needs to be multiplied by 12.5 to achieve the necessary quantity for 150 servings.
Let's use a real-life example provided. Devon from the catering company needs to make soup for a party with 100 guests, and the recipe calls for 375 milliliters of soup per person. To find out how many liters of soup she will be making, we multiply the amount of soup per person by the number of guests. So, 375 milliliters × 100 guests equals 37,500 milliliters. Since there are 1,000 milliliters in a liter, we divide 37,500 milliliters by 1,000 milliliters per liter to get the answer. Devon will be making 37.5 liters of soup for the party.
It's important to note that when scaling recipes, some ingredients may not scale linearly due to their properties, and adjustments might be needed based on professional cooking experience.