If an individual has a body weight of 180 pounds with a body fat percentage of 30%, what would be your recommended goal on a weight reduction program if this person desired to have a body fat of 20%?

157.5

Explanation:

The target body weight formula is FFM / (1 - (desired %BF/100)). This formula is used to know the weight of a peron with a certain fat in their bodies.

So, the FFM is the free fat mass. For a person with 180punds with 30% of body fat, the Free fat mass is:

180 - 100%

x - 30%

x=54

Now, 180-54 = 126pounds

The desired percentage of body fat (desired %BF in the equation) is 20%. If we replace values in the formula the thing goes like this:

Target body weight = 126pounds / (1 - (20/100))

Target body weight = 126pounds / (1-0.2)

Target body weight = 126pounds / (0.8)

Target body weight = 157.5pounds