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If I go jogging for 3 miles, I know I can burn 300 Calories. How many miles would I need to run in order to burn 21,000 Calories?


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Question 23 pts
I went to Burger King and bought a Whopper with cheese for lunch. The burger had 50g of fat, 45g of carbohydrates, and 30g of protein. What percentage of the Calories came from protein?

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1 answer

Let's answer each question one by one.

Question 1: Jogging Miles to Burn 21,000 Calories

You burn 300 Calories for every 3 miles you jog. First, we find how many Calories you burn per mile:

\[ \text{Calories per mile} = \frac{300 \text{ Calories}}{3 \text{ miles}} = 100 \text{ Calories/mile} \]

Now, to find out how many miles you need to run to burn 21,000 Calories:

\[ \text{Miles needed} = \frac{21,000 \text{ Calories}}{100 \text{ Calories/mile}} = 210 \text{ miles} \]

Question 2: Percentage of Calories from Protein

Next, let's calculate the total Calories in the Whopper with cheese and the percentage that comes from protein.

  1. Calculate the Calories from each macronutrient:

    • Fat: \(50g \times 9 \text{ Calories/g} = 450 \text{ Calories}\)
    • Carbohydrates: \(45g \times 4 \text{ Calories/g} = 180 \text{ Calories}\)
    • Protein: \(30g \times 4 \text{ Calories/g} = 120 \text{ Calories}\)

  2. Calculate the total Calories: \[ \text{Total Calories} = 450 \text{ Calories (fat)} + 180 \text{ Calories (carbs)} + 120 \text{ Calories (protein)} = 750 \text{ Calories} \]

  3. Find the percentage of Calories from protein: \[ \text{Percentage of Calories from protein} = \left( \frac{120 \text{ Calories (protein)}}{750 \text{ Total Calories}} \right) \times 100 = 16% \]

Summary of Answers:

  1. Miles needed to run to burn 21,000 Calories: 210 miles
  2. Percentage of Calories from protein: 16%