Final answer:
The man needs to lose approximately 18 pounds to achieve a body fat percentage of 22%.
Step-by-step explanation:
To calculate how many pounds the 50-year-old man needs to lose to reach a body fat percentage of 22%, we must first find his lean body mass (LBM) and then determine his target weight that would correlate with 22% body fat.
First, calculate the current amount of body fat in pounds:
210 lbs * 29% = 60.9 lbs of body fat.
Then, calculate the lean body mass (LBM):
210 lbs - 60.9 lbs = 149.1 lbs LBM.
Now, find the weight at which his LBM would be 78% of his total weight (since 100% - 22% body fat = 78% LBM):
149.1 lbs / 78% = 191.15 lbs target weight.
Finally, subtract the target weight from the current weight to find the number of pounds he needs to lose:
210 lbs - 191.15 lbs = 18.85 lbs, which we round to the nearest whole number: 19 lbs.
Therefore, the man needs to lose approximately 18 pounds to reach a body fat percentage of 22%.