Discussion
The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.
Macronutrient energy contribution (pie chart): Carbohydrates 35%, Proteins 20%, Unsaturated fat 20%, Saturated fat 20%, Trans fat 5%.
The typical energy density (kcal/g) of these macronutrients is given in the table.
| Macronutrient | Energy density (kcal/g) |
|---|---|
| Carbohydrates | 4 |
| Proteins | 4 |
| Unsaturated fat | 9 |
| Saturated fat | 9 |
| Trans fat | 9 |
The total fat (all three types), in grams, this person consumes is
Answer: C
The person eats 100 g of fat.
The three fats together supply 20% + 20% + 5% = 45% of the 2,000 kcal, and every fat gives 9 kcal per gram:
\[ \begin{aligned} \text{Fat energy} &= 0.45 \times 2000 = 900\ \text{kcal} \\ \text{Fat mass} &= 900 / 9 = 100\ \text{g} \end{aligned} \]
44.4 g is the saturated (or unsaturated) fat alone, \(400/9\). 77.8 g is \(700/9\), which uses the 35% carbohydrate share by mistake. 3,600 multiplies the fat energy by 4 instead of dividing by 9.
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