Q.8 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. 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 (A) 44.4 (B) 77.8 (C) 100 (D) 3,600

Q.8 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.
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
(A) 44.4
(B) 77.8
(C) 100
(D) 3,600

Pie charts simplify macronutrient analysis in diets, but calculating grams requires energy density conversion. This 2000 kcal diet example yields 100 grams of total fat from unsaturated, saturated, and trans fats combined.

Pie Chart Breakdown

The pie chart shows these percentages for a 2000 kcal diet: Carbohydrates at 35%, Proteins at 20%, Unsaturated fat at 20%, Saturated fat at 20%, and Trans fat at 5%. Total fat slices add to 45% (20% + 20% + 5%). Fat calories total 900 kcal (0.45 × 2000).

Grams Calculation

Fats provide 9 kcal/g, unlike 4 kcal/g for carbs or proteins. Divide fat calories by density: 900 / 9 = 100 grams total. Breakdown confirms: Unsaturated (400 kcal / 9 ≈ 44.4 g), Saturated (400 / 9 ≈ 44.4 g), Trans (100 / 9 ≈ 11.1 g).

Option Analysis

  • (A) 44.4: Matches one fat type (e.g., 20% unsaturated), ignores total fat.
  • (B) 77.8: Possible miscalculation like 700 kcal / 9, but fat is 900 kcal.
  • (C) 100: Correct, as 45% fat calories (900 kcal) ÷ 9 kcal/g = 100 g.
  • (D) 3,600: Wrong units, like total kcal × something irrelevant.
Option Calculation Error Grams
A Single fat type 44.4
B Underestimated fat kcal 77.8
C Accurate total 100
D Unit confusion 3,600

 

 

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