Final answer:
To determine the grams of carbohydrates in the sandwich, we subtract the calories from proteins and fats from the total calorie count of the sandwich. Given that the sandwich has 660.1 calories, 27.4 grams of lipids, and 16.9 grams of proteins, the grams of carbohydrates is 86.475.
Step-by-step explanation:
Fatty foods are calorie-dense, meaning that they have more calories per unit mass than carbohydrates or proteins. One gram of carbohydrates has four calories, one gram of protein has four calories, and one gram of fat has nine calories. To determine how many grams of carbohydrates are in the sandwich, we need to subtract the calories from proteins and fats from the total calorie count of the sandwich.
Calories from proteins = grams of protein x 4 calories/gram
Calories from fats = grams of fat x 9 calories/gram
Calories from carbohydrates = Total calories of the sandwich - Calories from proteins - Calories from fats
Given that the sandwich has 660.1 calories, 27.4 grams of lipids, and 16.9 grams of proteins:
Calories from proteins = 16.9 grams x 4 calories/gram = 67.6 calories
Calories from fats = 27.4 grams x 9 calories/gram = 246.6 calories
Calories from carbohydrates = 660.1 calories - 67.6 calories - 246.6 calories = 345.9 calories
To convert the calories to grams of carbohydrates, we can divide the calories by 4 (since 1 gram of carbohydrates has 4 calories).
Grams of carbohydrates = Calories from carbohydrates / 4 = 345.9 calories / 4 = 86.475 grams