High School

Your client's current weight, fat-free mass (FFM), and body fat percentage (%BF) are 202 lb, 149.5 lb, and 26%, respectively. His goal is a %BF of 16%. Assuming no change in FFM, what is his target weight?

Group of answer choices:
A. 170 lb
B. 178 lb
C. 182 lb
D. 187 lb
E. 196 lb

Answer :

To achieve a body fat percentage of 16%, your client should aim for a target weight of approximately b. 178 lb, assuming no change in fat-free mass.

Calculating Target Weight Based on Body Fat Percentage

To calculate your client's target weight when aiming for a body fat percentage (%BF) of 16%, we can use the following formula:

Target Weight = Fat-Free Mass (FFM) ÷ (1 - Desired %BF)

Given:

  • Current Weight = 202 lb
  • Fat-Free Mass (FFM) = 149.5 lb
  • Current %BF = 26%
  • Desired %BF = 16%

First, let's confirm the fat-free mass (FFM):

Fat-Free Mass (FFM) = Current Weight × (1 - Current %BF)

149.5 lb = 202 lb × (1 - 0.26)

This confirms that the given FFM is accurate. Now, we will determine the target weight:

Target Weight = 149.5 lb ÷ (1 - 0.16)

Target Weight = 149.5 lb ÷ 0.84

Target Weight ≈ 178 lb

So, the target weight your client needs to achieve to reach a body fat percentage of 16% is approximately 178 lb.

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