Suppose that a person eats 330 grams of carbohydrates, 35 grams of fat, and 45 grams of protein on a given day. (a) What percentage of the total grams of food is in the form of fat, carbohydrate, and protein, respectively?
Please show the formulas. (b) How many calories are provided by fat, carbohydrate, and protein, respectively? Please show the formulas. (c) What percentage of the total calories is provided by fat? Please show the formulas.
What will be an ideal response?
(a) Percent from fat: 8.5% (35 grams of fat ÷ 410 grams of total food = 0.085; 0.085 x 100% = 8.5%); percent from carbohydrate: 80.5% (330 grams of carbohydrates ÷ 410 grams of total food = 0.805; 0.805 x 100% = 80.5%); percent from protein: 11% (45 grams of protein ÷ 410 grams of total food = 0.11; 0.11 x 100% = 11%).
(b) 1,320 calories are derived from carbohydrates (330 grams x 4 calories per gram), 180 calories from protein (45 grams x 4 calories per gram), and 315 calories from fat (35 grams x 9 calories per gram), for a total of 1,815 calories.
(c) If 315 calories are derived from fat, 17% of the total caloric intake is in the form of fat (315 ÷ 1,820 x 100 = 17 percent).
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