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A serving of dessert has the following nutrient composition :

10 g of fat, 5 g of protein, 10 g of water and 20 g of carbohydrates.

How many calories does it provide ?

  • A.250 kcal
  • B.200 kcal
  • C.150 kcal
  • D.190 kcal

Answer: D

The serving provides 190 kcal.

Use the physiological fuel values: fat gives 9 kcal per gram, protein and carbohydrate 4 kcal per gram each, and water none.

\[ \begin{aligned} \text{fat} &= 10 \times 9 = 90 \\ \text{protein} &= 5 \times 4 = 20 \\ \text{carbohydrate} &= 20 \times 4 = 80 \\ \text{total} &= 90 + 20 + 80 = 190\ \text{kcal} \end{aligned} \]

The 10 g of water adds nothing. 200 kcal and 150 kcal are what you get by counting fat at 10 or 5 kcal per gram instead of 9, and 250 kcal is more than any correct use of the factors allows.

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