Math Equation Formulas

Question 1

Ken is a 42-year-old man who weighs 220 pounds and has an estimated body-fat percentage of 23%. Ken’s goal is to reach a body-fat percentage of 17%.

Approximately, what weight goal does he need to make in order to achieve his body-fat percentage goal?

Answer 1

100% - 23 = 77% (100% - Body- fat percentage = Lean mass percentage)
220 pounds x 0.77 = 169.4 pounds (Body weight x Lean mass percentage = Lean mass)
100% - 17% = 83% (Desired body fat percentage = Desired lean mass percentage)
169.4/.83 = 204 pounds (Lean body mass/Desired lean body mass percentage = Desired weight

Question 2

The equation for Caloric expenditure is….

Answer 2

{V02 (mL/kg/min) x body weight (kg) / 1000} x 5 kcal/L/min

Remember that caloric expenditure is calculated in terms of gross V02 during an activity by estimating the total quantity of O2 consumed per minute and multiplying it by 5 kcal/liter O2.