Answer :
To adjust the recipe from 4 servings to 12 servings, you need to scale each ingredient by the conversion factor. Here's how you can calculate it step by step:
1. Determine the Conversion Factor:
- The original yield is 4 servings.
- The new yield is 12 servings.
- The conversion factor is calculated by dividing the new yield by the original yield:
[tex]\[
\text{Conversion Factor} = \frac{12 \text{ servings}}{4 \text{ servings}} = 3
\][/tex]
2. Adjust Each Ingredient:
- Chicken: The original amount is 1 pound. Using the conversion factor:
[tex]\[
1 \text{ lb} \times 3 = 3 \text{ lb}
\][/tex]
- Cornstarch: The original amount is 3 tablespoons. Using the conversion factor:
[tex]\[
3 \text{ tbsp} \times 3 = 9 \text{ tbsp}
\][/tex]
- Soy Sauce: The original amount is 2 tablespoons. Using the conversion factor:
[tex]\[
2 \text{ tbsp} \times 3 = 6 \text{ tbsp}
\][/tex]
- Ginger: The original amount is 0.5 teaspoons. Using the conversion factor:
[tex]\[
0.5 \text{ tsp} \times 3 = 1.5 \text{ tsp}
\][/tex]
- Vegetable Oil: The original amount is 3 tablespoons. Using the conversion factor:
[tex]\[
3 \text{ tbsp} \times 3 = 9 \text{ tbsp}
\][/tex]
- Broccoli: The original amount is 2 cups. Using the conversion factor:
[tex]\[
2 \text{ cups} \times 3 = 6 \text{ cups}
\][/tex]
So, the converted ingredients to serve 12 are:
- 3 pounds of boneless skinless chicken breasts
- 9 tablespoons of cornstarch
- 6 tablespoons of reduced sodium soy sauce
- 1.5 teaspoons of ground ginger
- 9 tablespoons of vegetable oil
- 6 cups of broccoli florets
1. Determine the Conversion Factor:
- The original yield is 4 servings.
- The new yield is 12 servings.
- The conversion factor is calculated by dividing the new yield by the original yield:
[tex]\[
\text{Conversion Factor} = \frac{12 \text{ servings}}{4 \text{ servings}} = 3
\][/tex]
2. Adjust Each Ingredient:
- Chicken: The original amount is 1 pound. Using the conversion factor:
[tex]\[
1 \text{ lb} \times 3 = 3 \text{ lb}
\][/tex]
- Cornstarch: The original amount is 3 tablespoons. Using the conversion factor:
[tex]\[
3 \text{ tbsp} \times 3 = 9 \text{ tbsp}
\][/tex]
- Soy Sauce: The original amount is 2 tablespoons. Using the conversion factor:
[tex]\[
2 \text{ tbsp} \times 3 = 6 \text{ tbsp}
\][/tex]
- Ginger: The original amount is 0.5 teaspoons. Using the conversion factor:
[tex]\[
0.5 \text{ tsp} \times 3 = 1.5 \text{ tsp}
\][/tex]
- Vegetable Oil: The original amount is 3 tablespoons. Using the conversion factor:
[tex]\[
3 \text{ tbsp} \times 3 = 9 \text{ tbsp}
\][/tex]
- Broccoli: The original amount is 2 cups. Using the conversion factor:
[tex]\[
2 \text{ cups} \times 3 = 6 \text{ cups}
\][/tex]
So, the converted ingredients to serve 12 are:
- 3 pounds of boneless skinless chicken breasts
- 9 tablespoons of cornstarch
- 6 tablespoons of reduced sodium soy sauce
- 1.5 teaspoons of ground ginger
- 9 tablespoons of vegetable oil
- 6 cups of broccoli florets
