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Answer :
Final answer:
A man weighing 150 lbs with 30% body fat, who wants to reduce his body fat to 25% without losing any lean mass, should weigh 140 lbs. Therefore, the correct answer is (d) 140 lbs.
Explanation:
To solve this question, we need to break down the initial weight of the man into fat and non-fat (lean) components. If his initial body weight is 150 lbs, and his body fat is 30%, then he has 45 lbs of body fat (30% of 150) and 105 lbs of lean body mass (150 minus 45).
If this man wants to reduce his body fat to 25%, while maintaining the same lean body mass of 105 lbs, his total weight needs to be recalculated. Given that the lean body mass would represent 75% of his total weight (since fat now presents 25%), we can set up the following equation: 105 lbs is 75% as Total Weight is 100%. Solving this equation for the Total Weight, we find it to be 140 lbs (105 divided by 0.75).
So, this man should weigh 140 lbs if he reduces his body fat percentage to 25% without losing any lean body mass. Therefore, the correct answer is (d) 140 lbs.
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