Nutrient Totals 4D5B77
1. **Stating the problem:**
Calculate the total nutritional values and the per portion values from the given data of ingredients.
2. **Understanding the data:**
We have quantities and nutritional values (Calories, Carbohydrates, Fat, Protein, Sodium, Sugar) for each ingredient.
3. **Total calculation:**
The total values are sums of each nutrient across all ingredients:
- Total Calories = 1548 kcal
- Total Carbohydrates = 170.6 g
- Total Fat = 66.4 g
- Total Protein = 68.8 g
- Total Sodium = 752 mg
- Total Sugar = 6.7 g
4. **Per portion calculation:**
Given total quantity = 1026 g, per portion values are calculated by dividing total nutrients by total quantity and multiplying by portion size.
Formula for per portion nutrient $N_p$:
$$N_p = \frac{N_{total}}{Q_{total}} \times Q_{portion}$$
Given per portion quantity $Q_{portion} = 20.2$ g, the per portion values are:
- Calories per portion = $\frac{1548}{1026} \times 20.2 = 309.6$ kcal
- Carbohydrates per portion = $\frac{170.6}{1026} \times 20.2 = 34.1$ g
- Fat per portion = $\frac{66.4}{1026} \times 20.2 = 13.2$ g
- Protein per portion = $\frac{68.8}{1026} \times 20.2 = 13.7$ g
- Sodium per portion = $\frac{752}{1026} \times 20.2 = 150.4$ mg
- Sugar per portion = $\frac{6.7}{1026} \times 20.2 = 1.3$ g
5. **Explanation:**
We sum all nutrients to get total values. Then, to find the nutrient content per portion, we scale the total nutrient by the ratio of portion size to total quantity.
This method ensures accurate nutritional information per serving based on the total recipe.
**Final answer:**
- Total Nutrients: Calories 1548 kcal, Carbohydrates 170.6 g, Fat 66.4 g, Protein 68.8 g, Sodium 752 mg, Sugar 6.7 g
- Per Portion Nutrients (20.2 g): Calories 309.6 kcal, Carbohydrates 34.1 g, Fat 13.2 g, Protein 13.7 g, Sodium 150.4 mg, Sugar 1.3 g