Answer :
Sure, let's break down the problem step by step to solve for the number of calories obtained from carbohydrates for this dietary example.
1. Daily Recommended Calories: We know from the nutritional table that the recommendations are based on a 2000-calorie diet.
2. Total Carbohydrate Intake: According to the table, for a 2000-calorie diet, the recommended daily intake of total carbohydrates is 300 grams.
3. Calories from Carbohydrates: We need to determine the number of calories obtained from carbohydrates. Generally, 1 gram of carbohydrates provides 4 calories.
4. Calculation:
To find the total calories from carbohydrates:
[tex]\[ \text{Calories from carbohydrates} = \text{Total grams of carbohydrates} \times \text{Calories per gram of carbohydrate} \][/tex]
Substituting the values:
[tex]\[ \text{Calories from carbohydrates} = 300 \, \text{grams} \times 4 \, \text{calories/gram} \][/tex]
Therefore,
[tex]\[ \text{Calories from carbohydrates} = 1200 \, \text{calories} \][/tex]
5. Percentage of Daily Caloric Intake from Carbohydrates:
To find the percentage of daily calories that come from carbohydrates:
[tex]\[ \text{Percentage} = \left( \frac{\text{Calories from carbohydrates}}{\text{Total daily calorie intake}} \right) \times 100 \% \][/tex]
Substituting the values:
[tex]\[ \text{Percentage} = \left( \frac{1200 \, \text{calories}}{2000 \, \text{calories}} \right) \times 100 \% \][/tex]
Therefore,
[tex]\[ \text{Percentage} = 60\% \][/tex]
Conclusion:
The number of calories obtained from carbohydrates is 1200 calories, which constitutes 60% of the total daily caloric intake.
1. Daily Recommended Calories: We know from the nutritional table that the recommendations are based on a 2000-calorie diet.
2. Total Carbohydrate Intake: According to the table, for a 2000-calorie diet, the recommended daily intake of total carbohydrates is 300 grams.
3. Calories from Carbohydrates: We need to determine the number of calories obtained from carbohydrates. Generally, 1 gram of carbohydrates provides 4 calories.
4. Calculation:
To find the total calories from carbohydrates:
[tex]\[ \text{Calories from carbohydrates} = \text{Total grams of carbohydrates} \times \text{Calories per gram of carbohydrate} \][/tex]
Substituting the values:
[tex]\[ \text{Calories from carbohydrates} = 300 \, \text{grams} \times 4 \, \text{calories/gram} \][/tex]
Therefore,
[tex]\[ \text{Calories from carbohydrates} = 1200 \, \text{calories} \][/tex]
5. Percentage of Daily Caloric Intake from Carbohydrates:
To find the percentage of daily calories that come from carbohydrates:
[tex]\[ \text{Percentage} = \left( \frac{\text{Calories from carbohydrates}}{\text{Total daily calorie intake}} \right) \times 100 \% \][/tex]
Substituting the values:
[tex]\[ \text{Percentage} = \left( \frac{1200 \, \text{calories}}{2000 \, \text{calories}} \right) \times 100 \% \][/tex]
Therefore,
[tex]\[ \text{Percentage} = 60\% \][/tex]
Conclusion:
The number of calories obtained from carbohydrates is 1200 calories, which constitutes 60% of the total daily caloric intake.