A serving of a breakfast cereal contains 8.3 g of protein, 13.8 g of carbohydrates, and 4.8 g of fat. What is the Calorie content of a serving of this cereal if the average number of Calories for fat is 9.1 Calories/g, for carbohydrates is 4.1 Calories/g, and for protein is 4.1 Calories/g?

Respuesta :

Answer: The calorie content of the serving of cereal is 134.29 Calories.

Explanation:

We are given:

Average number of calories for fat = 9.1 Cal/g

Average number of calories for carbohydrates = 4.1 Cal/g

Average number of calories for proteins = 4.1 Cal/g

Mass of fat = 4.8 g

Mass of carbohydrates = 13.8 g

Mass of protein = 8.3 g

To calculate the calorie content in all the minerals, we apply unitary method:

  • For fat:

If 1 gram of fat has 9.1 calories.

So, 4.8 grams of fat will have = [tex]\frac{9.1}{1}\times 4.8=43.68Cal[/tex]

The calorie content in given amount of fat is 43.68 Calories.

  • For carbohydrate:

If 1 gram of carbohydrate has 4.1 calories.

So, 13.8 grams of carbohydrate will have = [tex]\frac{4.1}{1}\times 13.8=56.58Cal[/tex]

The calorie content in given amount of carbohydrate is 56.58 Calories.

  • For protein:

If 1 gram of protein has 4.1 calories.

So, 8.3 grams of protein will have = [tex]\frac{4.1}{1}\times 8.3=34.03Cal[/tex]

The calorie content in given amount of protein is 34.03 Calories.

Total amount of calorie in cereal = 43.68 + 56.58 + 34.03 = 134.29 Calories

Hence, the calorie content of the serving of cereal is 134.29 Calories.

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