Question

whopper sandwich
nutrition facts
serving size: 1 sandwich (220g)
amount per serving
calories: 770, calories from fat: 450
% daily value *
total fat: 39g, 60%
saturated fat: 11g, 55%
cholesterol: 105mg, 35%
sodium: 850mg, 35%
total carbohydrate: 51g, 17%
dietary fiber: 3g, 12%
sugars: 14g
protein: 27g, 54%
vitamin a: 10%
vitamin c: 15%
calcium: 6%
iron: 25%

big mac
nutrition facts
serving size: 7.45 oz (211.0 g)
amount per serving
calories: 560, calories from fat: 270
% daily value *
total fat: 30g, 46%
saturated fat: 10g, 50%
cholesterol: 80mg, 27%
sodium: 1010mg, 42%
total carbohydrate: 47g, 16%
dietary fiber: 3g, 12%
sugars: 9g
protein: 25g, 50%
vitamin a: 8%
vitamin c: 2%
calcium: 25%
iron: 25%

1. calculate the percentage of your daily intake for the following nutrients: (based on a 2000 calorie/day diet)

calories:
total fat:
saturated fat:
protein:
fiber:
carbohydrates:

1. calculate the percentage of your daily intake for the following nutrients: (based on a 2000 calorie/day diet)

calories:
total fat:
saturated fat:
protein:
fiber:
carbohydrates:

Answer:

To calculate the percentage of daily intake for each nutrient (based on a 2000 - calorie diet or daily values for other nutrients), we use the formula: \(\text{Percentage of Daily Intake}=\frac{\text{Amount per Serving}}{\text{Daily Value (or relevant daily standard)}}\times100\%\)

For Whopper Sandwich (Serving size: 1 sandwich / 270g)

Step 1: Calories

The amount of calories per serving is 770. The daily calorie standard is 2000.
\(\text{Percentage}=\frac{770}{2000}\times 100\% = 38.5\%\)

Step 2: Total Fat

The amount of total fat per serving is 39g. The daily value for total fat (assuming a 2000 - calorie diet, the daily value for fat is usually around 65g (based on 30% of 2000 calories, \(2000\times0.3 = 600\) calories from fat, and 1g fat = 9 calories, so \(\frac{600}{9}\approx66.67\)g, but from the % Daily Value column, it's given as 60% which implies the daily value is \(\frac{39}{0.6}=65\)g). Using the formula \(\frac{39}{65}\times100\% = 60\%\) (which matches the given % Daily Value)

Step 3: Saturated Fat

The amount of saturated fat per serving is 11g. The daily value for saturated fat (from the % Daily Value column, 38% implies daily value is \(\frac{11}{0.38}\approx28.95\)g). Using the formula \(\frac{11}{\frac{11}{0.38}}\times100\%=38\%\) (matches the given % Daily Value)

Step 4: Protein

The amount of protein per serving is 27g. The daily value for protein (from the % Daily Value column, 54% implies daily value is \(\frac{27}{0.54} = 50\)g). Using the formula \(\frac{27}{50}\times100\%=54\%\) (matches the given % Daily Value)

Step 5: Fiber

The amount of fiber per serving is 3g. The daily value for fiber (from the % Daily Value column, 12% implies daily value is \(\frac{3}{0.12}=25\)g). Using the formula \(\frac{3}{25}\times100\% = 12\%\) (matches the given % Daily Value)

Step 6: Carbohydrates

The amount of total carbohydrates per serving is 51g. The daily value for carbohydrates (from the % Daily Value column, 17% implies daily value is \(\frac{51}{0.17}=300\)g). Using the formula \(\frac{51}{300}\times100\%=17\%\) (matches the given % Daily Value)

For Big Mac (Serving size: 7.45 oz / 210.6g)

Step 1: Calories

The amount of calories per serving is 560. The daily calorie standard is 2000.
\(\text{Percentage}=\frac{560}{2000}\times 100\%=28\%\)

Step 2: Total Fat

The amount of total fat per serving is 29g. The daily value for total fat (from the % Daily Value column, 45% implies daily value is \(\frac{29}{0.45}\approx64.44\)g). Using the formula \(\frac{29}{\frac{29}{0.45}}\times100\% = 45\%\) (matches the given % Daily Value)

Step 3: Saturated Fat

The amount of saturated fat per serving is 11g. The daily value for saturated fat (from the % Daily Value column, 50% implies daily value is \(\frac{11}{0.5}=22\)g). Using the formula \(\frac{11}{22}\times100\% = 50\%\) (matches the given % Daily Value)

Step 4: Protein

The amount of protein per serving is 25g. The daily value for protein (from the % Daily Value column, 50% implies daily value is \(\frac{25}{0.5}=50\)g). Using the formula \(\frac{25}{50}\times100\%=50\%\) (matches the given % Daily Value)

Step 5: Fiber

The amount of fiber per serving is 3g. The daily value for fiber (from the % Daily Value column, 12% implies daily value is \(\frac{3}{0.12}=25\)g). Using the formula \(\frac{3}{25}\times100\%=12\%\) (matches the given % Daily Value)

Step 6: Carbohydrates

The amount of total carbohydrates per serving is 41g. The daily value for carbohydrates (from the % Daily Value column, 16% implies daily value is \(\frac{41}{0.16}=256.25\)g). Using the formula \(\frac{41}{256.25}\times100\% = 16\%\) (matches the given % Daily Value)

For Big Mac (Question 28, same serving size)

The calculations are similar to the Whopper Sandwich, just using the values from the Big Mac Nutrition Facts:

Step 1: Calories

\(\text{Percentage}=\frac{560}{2000}\times100\% = 28\%\)

Step 2: Total Fat

\(\text{Percentage}=\frac{29}{\frac{29}{0.45}}\times100\%=45\%\) (or using the 2000 - calorie diet fat standard, if we consider 65g as daily fat, \(\frac{29}{65}\times100\%\approx44.6\%\), close to 45%)

Step 3: Saturated Fat

\(\text{Percentage}=\frac{11}{22}\times100\% = 50\%\) (assuming daily value for saturated fat is 22g as per the % Daily Value)

Step 4: Protein

\(\text{Percentage}=\frac{25}{50}\times100\%=50\%\) (assuming daily value for protein is 50g)

Step 5: Fiber

\(\text{Percentage}=\frac{3}{25}\times100\% = 12\%\) (assuming daily value for fiber is 25g)

Step 6: Carbohydrates

\(\text{Percentage}=\frac{41}{\frac{41}{0.16}}\times100\%=16\%\) (assuming daily value for carbohydrates is \(\frac{41}{0.16}\)g)

Final Answers (Whopper Sandwich)

• Calories: \(38.5\%\)
• Total Fat: \(60\%\)
• Saturated Fat: \(38\%\)
• Protein: \(54\%\)
• Fiber: \(12\%\)
• Carbohydrates: \(17\%\)

Final Answers (Big Mac)

• Calories: \(28\%\)
• Total Fat: \(45\%\)
• Saturated Fat: \(50\%\)
• Protein: \(50\%\)
• Fiber: \(12\%\)
• Carbohydrates: \(16\%\)