Question

The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person. The typical energy density (kcal/g) of these macronutrients is given in the table. \begin{center} \includegraphics[width=10cm]{8.png} \{0.5cm} \begin{tabular}{|c|c|} \hline Macronutrient & Energy density (kcal/g)
\hline Carbohydrates & 4
Proteins & 4
Unsaturated fat & 9
Saturated fat & 9
Trans fat & 9
\hline \end{tabular} \end{center} The total fat (all three types), in grams, this person consumes is:

• A. \( 44.4 \)
• B. \( 77.8 \)
• C. \( 100 \)
• D. \( 3,600 \)

Hint:

To calculate total macronutrient intake in grams, divide the total kcal contribution by the energy density of the nutrient.

Answer 1

The Correct Option is C

Step 1: Calculate total fat contribution in kcal. The total fat (saturated, unsaturated, and trans fat) contributes: \[ 20\% + 20\% + 5\% = 45\%. \] \[ \text{Total fat contribution} = 0.45 \times 2000 = 900 \, \text{kcal}. \] Step 2: Convert kcal to grams. Since the energy density of fat (all types) is \( 9 \, \text{kcal/g} \): \[ \text{Total fat consumed} = \frac{900}{9} = 100 \, \text{g}. \] Final Answer: \[ \boxed{100} \]