Final answer:
A person weighing 180 pounds with 25% body fat has a lean body mass of 135 pounds (option d). This is calculated by multiplying their total weight by the percentage of body fat to find the weight of fat, and then subtracting that from the total weight.
Step-by-step explanation:
If a person weighs 180 pounds with 25% body fat, we can calculate their lean body mass by subtracting the weight of the fat from their total weight.
To find the weight of the fat, we multiply 180 pounds by 0.25, which gives us 45 pounds of fat.
Then, we subtract this from the total weight to determine the lean body mass:
- Total body weight = 180 pounds
- Percentage of body fat = 25%
- Weight of body fat = 180 pounds × 25% = 45 pounds
- Lean body mass = Total body weight - Weight of body fat
- Lean body mass = 180 pounds - 45 pounds = 135 pounds
Therefore, the person's lean body mass is 135 pounds.