Question

1. tera is making meatloaf for dinner for herself and her son. she is using the recipe below, which serves 4, and would like to change it so it only serves 2. she has all of the ingredients except ground beef, milk, and breadcrumbs. if she changes the serving size from 4 to 2, how much ground beef, breadcrumbs, and milk will she need?

recipe
meatloaf
ingredients
1 pound of 90% lean ground beef
1 cup of dried bread crumbs
1/2 cup of yellow onion (diced)
1/2 cup of milk
1 large egg (beaten)
2 tablespoons of ketchup
1 tablespoon of worcestershire sauce
1 teaspoon of dried parsley leaves
3/4 teaspoon of salt
1/2 teaspoon of garlic powder
1/4 teaspoon of ground black pepper
for the topping:
1/4 cup of ketchup
2 tablespoons of packed light brown sugar
1 tablespoon of red wine vinegar
options:

• 1 lb. of ground beef, 1 cup of breadcrumbs, and 1/2 cup milk
• 2 lb. of ground beef, 2 cups of breadcrumbs, and 1 cup milk
• 1/2 lb. of ground beef, 1/2 cup of breadcrumbs, and 1/4 cup milk
• 1/2 cup ground beef, 1/2 lb. of breadcrumbs, and 1/4 lb. milk

Explanation:

Step1: Determine the scaling factor

The original recipe serves 4, and we need to serve 2. The scaling factor is $\frac{2}{4}=\frac{1}{2}$.

Step2: Calculate the amount of ground beef

Original ground beef: 1 pound. New amount: $1\times\frac{1}{2}=\frac{1}{2}$ pound.

Step3: Calculate the amount of breadcrumbs

Original breadcrumbs: 1 cup. New amount: $1\times\frac{1}{2}=\frac{1}{2}$ cup.

Step4: Calculate the amount of milk

Original milk: $\frac{1}{2}$ cup. New amount: $\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$ cup.

Answer:

$\frac{1}{2}$ lb. of ground beef, $\frac{1}{2}$ cup of breadcrumbs, and $\frac{1}{4}$ cup milk (corresponding to the third option: $\boldsymbol{\frac{1}{2}}$ lb. of ground beef, $\boldsymbol{\frac{1}{2}}$ cup of breadcrumbs, and $\boldsymbol{\frac{1}{4}}$ cup milk)