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Chapter 6: Problem 107

A serving size of six cookies contains 4 g of fat, 20 of carbohydrates, and 2 g of protein. If walking 1.0 mile consumes 170 kJ of energy, how many miles must you walk to burn off enough calories to eat six cookies? Assume the energy content of fats, carbohydrates, and proteins are 8 kcallg, 4 kcallg, and 4 kcallg, respectively.

Short Answer

Expert verified
A person must walk approximately \(2.95\) miles to burn off enough calories to consume six cookies.

Step by step solution

01

1. Calculate the energy content of six cookies

Multiply the grams of each substance (fat, carbohydrates, and protein) by its corresponding energy content (kcal/g) and add them all up to find the total energy content of six cookies in kcal. Energy_of_cookies = (4 g * 8 kcal/g) + (20 g * 4 kcal/g) + (2 g * 4 kcal/g)
02

2. Convert the energy content to kJ

Use the conversion factor 1 kcal = 4.184 kJ to convert the energy content of six cookies from kcal to kJ. Energy_of_cookies_kJ = Energy_of_cookies * 4.184 kJ/kcal
03

3. Calculate the number of miles to walk

Divide the total energy content of six cookies (in kJ) by the energy consumed from walking 1 mile (170 kJ) to find out how many miles a person must walk to burn off the calories. Miles_to_walk = Energy_of_cookies_kJ / 170 kJ/mile Perform the calculations: Energy_of_cookies = (4 g * 8 kcal/g) + (20 g * 4 kcal/g) + (2 g * 4 kcal/g) = 32 kcal + 80 kcal + 8 kcal = 120 kcal Energy_of_cookies_kJ = 120 kcal * 4.184 kJ/kcal = 502.08 kJ Miles_to_walk = 502.08 kJ / 170 kJ/mile ≈ 2.95 miles Therefore, a person must walk approximately 2.95 miles to burn off enough calories to consume six cookies.

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