Question

question 7
1 pts
a granola snack bar weighs 35 grams and has 6 grams of fat, 22 grams of carbohydrate, 4 grams of protein and 158 calories. show your math.

1. what percent of the total weight of this product comes from carbohydrate?
2. what percent of kcalories in this product comes from carbohydrates?
3. when we add up the weight of the three macronutrients, we get 32 grams. what accounts for the majority of the remaining 3 grams in the product? (dont try to look this up...the answer is not online, in the book or the lecture narrative. think about it for a few minutes.)

Explanation:

1.

Step1: Identify values

Total weight = 35 grams, Carbohydrate weight = 22 grams.

Step2: Calculate percentage

Percentage = $\frac{\text{Carbohydrate weight}}{\text{Total weight}} \times 100 = \frac{22}{35} \times 100 \approx 62.86\%$

2.

Step1: Recall calorie values

Carbohydrates provide 4 kcal/g, fat provides 9 kcal/g, protein provides 4 kcal/g.

Step2: Calculate calories from carbohydrates

Calories from carbs = $22 \times 4 = 88$ kcal.

Step3: Calculate percentage

Percentage = $\frac{\text{Calories from carbs}}{\text{Total calories}} \times 100 = \frac{88}{158} \times 100 \approx 55.70\%$

3.

The total weight of macronutrients (fat, carb, protein) is 32g, leaving 3g. Food products often contain water (which has weight but no calories, or minimal caloric contribution from bound water), along with other components like fiber (a type of carbohydrate not fully digested for calories in some cases), minerals, vitamins, or other additives. Water is a major component in many foods and likely accounts for most of this remaining weight, as it’s essential for food structure and is commonly present in snack bars (even granola - style ones may have some moisture, or the ingredients like oats, nuts, etc., have inherent water content).

Answer:

$62.86\%$ (rounded to two decimal places)