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".