Question

The approximate energy yield of carbohydrates is 4 calories/gram; fats yield about 9 calories/gram, and proteins about 4 calories/gram. Jack and Sarah consumed the following for lunch:

Jack—100 grams protein, 20 grams fat, 75 grams carbohydrates;
Sarah— 75 grams protein, 10 grams fats, 75 grams carbohydrates.
How many Calories each did Jack and Sarah consume?
rev: 10_18_2016_QC_CS-65697
A.) Jack: 880 Calories, Sarah: 680 Calories
B.) Jack: 880 Calories, Sarah: 690 Calories
C.) Jack: 900 Calories, Sarah: 680 Calories
D.) Jack: 890 Calories, Sarah: 670 Calories
E.) Jack: 900 Calories, Sarah: 650 Calories

Answer 1

By applying the energy yields of 4 Calories/gram for proteins and carbohydrates, and 9 Calories/gram for fats, it was calculated that Jack consumed a total of 880 Calories, while Sarah consumed 690 Calories, making option B the correct answer.

Step-by-step explanation:

To calculate the number of Calories consumed by Jack and Sarah from their lunch, we must apply the energy yields per gram for proteins, fats, and carbohydrates:

• Proteins: 4 Calories/gram
• Fats: 9 Calories/gram
• Carbohydrates: 4 Calories/gram

Let's calculate the Calories consumed by each:

Jack:

• Protein: 100 grams x 4 Calories/gram = 400 Calories
• Fat: 20 grams x 9 Calories/gram = 180 Calories
• Carbohydrates: 75 grams x 4 Calories/gram = 300 Calories

Total Calories for Jack = 400 + 180 + 300 = 880 Calories

Sarah:

• Protein: 75 grams x 4 Calories/gram = 300 Calories
• Fat: 10 grams x 9 Calories/gram = 90 Calories
• Carbohydrates: 75 grams x 4 Calories/gram = 300 Calories

Total Calories for Sarah = 300 + 90 + 300 = 690 Calories

Therefore, the correct answer is B.) Jack: 880 Calories, Sarah: 690 Calories.