Final answer:
To achieve a body composition of 20% body fat, the individual would need to lose 16.2 pounds of fat.
Step-by-step explanation:
To calculate how much weight loss is required to achieve a body composition of 20% body fat, we need to determine the current weight of fat and the desired weight of fat. We can then subtract the desired weight of fat from the current weight of fat to find the amount of fat that needs to be lost.
Given that the current body weight is 162 pounds and the current percent body fat is 30%, we can calculate the current weight of fat by multiplying the body weight by the percent body fat: 162 pounds * 0.30 = 48.6 pounds of fat.
To achieve a body composition of 20% body fat, we need to find the desired weight of fat. We can calculate this by multiplying the desired percent body fat (20%) by the body weight: 162 pounds * 0.20 = 32.4 pounds of fat.
To find the amount of fat that needs to be lost, we subtract the desired weight of fat from the current weight of fat: 48.6 pounds - 32.4 pounds = 16.2 pounds of fat.
Therefore, the individual would need to lose 16.2 pounds of fat to achieve a body composition of 20% body fat.