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A health coach is working with a 50-year-old man who does not have risk factors. He is an accountant and is sedentary all day. He wants to start exercising and dieting to lose body fat. He weighs 210 lbs. and his percent body fat is 29. How many pounds does he need to lose to reach a percent body fat of 22?

1) 6 pounds
2) 14 pounds
3) 18 pounds
4) 22 pounds

1 Answer

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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%.

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