Subjects algebra

Body Fat Weight 6Ca9F8

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We need to find how many pounds of an individual's weight is made up of fat given their body fat percentage and total weight in pounds. 2. **Formula:** The weight of fat is calculated by multiplying the total weight by the body fat percentage (expressed as a decimal): $$\text{Fat weight} = \text{Total weight} \times \frac{\text{Body fat percentage}}{100}$$ 3. **Important rule:** Convert the percentage to a decimal by dividing by 100 before multiplying. 4. **Intermediate work:** Suppose the body fat percentage is $p$ and the total weight is $w$ pounds. $$\text{Fat weight} = w \times \frac{p}{100}$$ 5. **Example:** If the body fat percentage is 25% and the weight is 150 pounds: $$\text{Fat weight} = 150 \times \frac{25}{100} = 150 \times 0.25 = 37.5$$ 6. **Rounding:** Round the result to the nearest tenth if necessary. **Final answer:** The pounds of fat is $w \times \frac{p}{100}$ rounded to the nearest tenth. Please provide the specific body fat percentage and weight values to calculate the exact number of pounds of fat.