High School

Find the percent of each ingredient used in the following formulas. Remember that flour is always 100 percent. Round your answers to the tenths place.

(a) Ingredients and Weights:
- Pastry flour: 4 lbs., 8 oz.
- Hydrogenated shortening: 2 lbs., 4 oz.
- Whole eggs: 1 lb.
- Brown sugar: 3 lbs., 2 oz.
- Salt: 1 oz.
- Baking soda: 1/2 oz.
- Vanilla: to taste

Calculate the percentage for each ingredient based on the weight of the pastry flour.

1. Pastry flour: 137.
2. Hydrogenated shortening: 138.
3. Whole eggs: 139.
4. Brown sugar: 140.
5. Salt: 141.
6. Baking soda: 142.
7. Vanilla: 143.

Note: Provide calculations for each blank to determine the percentage of each ingredient.

Answer :

The percentages of each ingredient in the given formulas are as follows: Pastry flour 55.6%, Hydrogenated shortening 27.8%, Whole eggs 11.1%, Brown sugar 5.6%, Salt 0.1%, Baking soda 0.1%, Vanilla to taste.

1. Convert all weights to ounces: 4 lbs., 8 oz. = 72 oz., 2 lbs., 4 oz. = 36 oz., 1 lb. = 16 oz., 3 lbs., 2 oz. = 50 oz., 1 oz. (for salt), 1/2 oz. (for baking soda).

2. Calculate total weight of all ingredients: 72 + 36 + 16 + 50 + 1 + 0.5 = 175.5 oz.

3. Calculate percentages:

- Pastry flour: (72 / 175.5) * 100 = 41.1%

- Hydrogenated shortening: (36 / 175.5) * 100 = 20.5%

- Whole eggs: (16 / 175.5) * 100 = 9.1%

- Brown sugar: (50 / 175.5) * 100 = 28.5%

- Salt: (1 / 175.5) * 100 = 0.6%

- Baking soda: (0.5 / 175.5) * 100 = 0.3%

- Vanilla: No specific percentage given, noted as "to taste".