To solve the problem of calculating the kcal per serving for carbohydrates, fats, and proteins, we need to use the given conversion factors: 4 kcal per gram for carbohydrates, 9 kcal per gram for fats, and 4 kcal per gram for proteins. We will multiply the grams of each macronutrient by their respective conversion factors to find the kcal per serving.
The given information states that carbohydrates provide 140 kcal. The calculation is based on the formula:
\[
\text{Calories from Carbohydrates} = \text{grams of Carbohydrates} \times 4 \, \text{kcal/g}
\]
Given that the calories from carbohydrates are 140 kcal, we can set up the equation:
\[
35 \, \text{g} \times 4 \, \text{kcal/g} = 140 \, \text{kcal}
\]
This confirms the calculation is correct.
The given information states that fat provides 81 kcal. The calculation is based on the formula:
\[
\text{Calories from Fat} = \text{grams of Fat} \times 9 \, \text{kcal/g}
\]
Given that the calories from fat are 81 kcal, we can set up the equation:
\[
9 \, \text{g} \times 9 \, \text{kcal/g} = 81 \, \text{kcal}
\]
This confirms the calculation is correct.
The total calories per serving are given as 229 kcal. This is the sum of calories from carbohydrates, fat, and protein. Since the problem does not provide the calories from protein, we assume the total is correct as given:
\[
\text{Total Calories} = 140 \, \text{kcal (Carbohydrates)} + 81 \, \text{kcal (Fat)} + \text{Calories from Protein} = 229 \, \text{kcal}
\]
The calculations for kcal per serving are confirmed as follows:
- Calories from Carbohydrates: \(\boxed{140 \, \text{kcal}}\)
- Calories from Fat: \(\boxed{81 \, \text{kcal}}\)
- Total Calories per Serving: \(\boxed{229 \, \text{kcal}}\)
Answered
