Question

The pie chart presents the percentage contribution of different macronutrients to a typical $2,000 \, \text{kcal}$ diet of a person. 

The typical energy density(kcal/g) of these macronutrients given in the table 

The total fat (all three types), in grams, this person consumes is: 
 

• A. $44.4$
• B. $77.8$
• C. $100$
• D. $3,600$

Hint:

When solving macronutrient percentage and energy calculations, always ensure to: 1. Convert percentage contributions into total energy values. 2. Use the correct energy density (kcal/g) to find the mass of the macronutrient.

Answer 1

The Correct Option is C

Step 1: Determine the percentage contribution of total fat.
From the pie chart, the contributions of different types of fat are: - Unsaturated fat: $20\%$ - Saturated fat: $20\%$ - Trans fat: $5\%$ The total fat contribution is: $$\text{Total fat percentage} = 20\% + 20\% + 5\% = 45\%.$$ Step 2: Calculate the total energy from fat.
The total energy from fat is: $$\text{Energy from fat} = 45\% \times 2,000 \, \text{kcal} = \frac{45}{100} \times 2,000 = 900 \, \text{kcal}.$$ Step 3: Convert energy to grams of fat.
From the table, the energy density of fat (unsaturated, saturated, and trans fat) is $9 \, \text{kcal/g}$. The total fat in grams is: $$\text{Total fat (grams)} = \frac{\text{Energy from fat}}{\text{Energy density of fat}} = \frac{900}{9} = 100 \, \text{grams}.$$ Conclusion: The total fat consumed is $100 \, \text{grams}$.