Question

Nick is an 18-year-old male entering college in the fall. He is 5’7” tall and currently weighs 172 lb, and he has 10% body fat and 155 lb in fat-free mass. He wants to lower his body fat to 5% and wrestle in the 165-lb weight class. He must have his weight assessed by the athletic medical staff before the first official team practice to determine his minimum weight class.

If Nick achieves his goal of 5% body fat, will it be enough for him to compete at the 165-lb weight class without compromising FFM? (show your work)

Answer 1

Cuurent weight = 172 lb

Fat-free-mass FFM = 155 lb

mass of body fat = 172 -155 = 17 lb

Now as nick aims to retain his FFM and lose body-fat

to 5%

let the mass of the body of nick after he achives his goal = M lb

again FFM = 155 lb

body fat = (M -155) lb

so New body fat percentage can be calculated as =>

[ (M -155)/M ]x 100

as given now body fat% = 5%

=> [ (M -155)/M ]x 100 = 5

1 - 155/M = 5/100

95/100 = 155/M

=> M = 155 x 100/95 lb = 163.158 lb

So yes He can compete in the desired Class As his weight is now less.

==

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