A slice of pizza contains 29 g of carbohydrate, 13 g of protein and an unknown amount of fat. if the pizza contains 280 kcal, how many grams of fat are present? report the answer to 2 significant figures.

Respuesta :

When different macronutrients (e.g., carbohydrates) are metabolized, they yield different amounts of energy, commonly measured in kilocalories.

They are given by the following conversion factors:

carbohydrates = 4 kcal/g
protein = 4 kcal/g
fat = 9 kcal/g

If the slice of pizza contains 29 g carbohydrates, that means there are 4 kcal/g × 29 g = 116 kcal from carbohydrates. It contains 13 g protein, so there are 4 kcal/g × 13 g = 52 kcal from protein.

The total number of kilocalories is 280, of which we have accounted for 168 (116+52). 280–168=112 kcal.

So, there are 112 kcal from fat. Using our conversion factor, 112 kcal 
× 1 g/9 kcal = 12 g fat.

The grams of fat present is 12 grams.

Based on the given information,

• A slice of pizza contains 13 grams of protein, 29 grams of carbs.  

• The total calories present in the pizza is 280 kcal.  

Now there is a need to find the grams of fat present in the pizza,

Total calories = 280 kcal

Total calories of carbohydrates = 29 × 4 kcal (1 g of carb contain 4kcal of energy) = 116 kcal.

Total calories of protein = 13 × 4 kcal (1 g of protein contains 4kcal of energy) = 52 kcal.

Calories due to fat = (280 kcal) - (116 kcal + 52 kcal)

= 112 kcal

1 gram of fat contains 9kcal of energy. The amount of fat can be determined as,

Amount of fat = (112/9) g = 12.44 grams or 12 grams of fat.

Thus, the grams of fat present is 12 grams.

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