A particular chip snack food is composed of 15 % protein, 19 % fat, and the rest carbohydrate.
a) What percentage of the Calorie content of this food is fat?
b) How many grams of protein provide the same value as of 15 g of fat?
Guide On Rating System
Vote
a) To determine the percentage of the Calorie content that comes from fat, we need to know the Caloric content of each nutrient.
Protein provides 4 Calories per gram.
Fat provides 9 Calories per gram.
So for every 100 grams of the snack food, there would be:
- 15 grams of protein = 15 grams x 4 Calories/gram = 60 Calories
- 19 grams of fat = 19 grams x 9 Calories/gram = 171 Calories
- The remaining 66 % of the food must be carbohydrates, which would contribute the rest of the Calories.
So the Caloric content of the food would be:
60 Calories from protein + 171 Calories from fat = 231 Calories
The percentage of the Caloric content that comes from fat would be:
(171 Calories / 231 Calories) x 100% ≈ 74.2%
Therefore, 74.2% of the Calorie content of this food is fat.
b) To determine how many grams of protein are equivalent to 15 grams of fat in terms of Calories provided, we need to set up a proportion using the Caloric values of each nutrient.
Given:
- 15 grams of fat
- 15 % protein
- Protein provides 4 Calories/gram
- Fat provides 9 Calories/gram
Let x be the grams of protein that provide the same value as 15 grams of fat.
We can set up the following proportion:
(15 grams of fat x 9 Calories/gram) = (x grams of protein x 4 Calories/gram)
135 = 4x
x = 33.75 grams
Therefore, 33.75 grams of protein provide the same value as 15 grams of fat in terms of Calories provided.