Answer :
Sure! Here's a step-by-step solution to find out how many pounds of an individual's weight is made up of fat when they have a body fat percentage of 14.6% and weigh 139 pounds:
1. Understand the Problem:
- We need to find out how much of the individual's weight is fat.
- The person weighs 139 pounds.
- The body fat percentage is 14.6%.
2. Convert the Percentage to a Decimal:
- To work with percentages, convert 14.6% to a decimal.
- [tex]\( 14.6\% = \frac{14.6}{100} = 0.146 \)[/tex]
3. Calculate the Weight of Fat:
- Multiply the total weight by the body fat percentage in decimal form.
- [tex]\( \text{Weight of fat} = 139 \text{ pounds} \times 0.146 = 20.294 \text{ pounds} \)[/tex]
4. Round the Result to the Nearest Tenth:
- The weight of fat, 20.294 pounds, should be rounded to the nearest tenth.
- After rounding, we get 20.3 pounds.
Therefore, the number of pounds of her weight that is made up of fat is 20.3 pounds.
1. Understand the Problem:
- We need to find out how much of the individual's weight is fat.
- The person weighs 139 pounds.
- The body fat percentage is 14.6%.
2. Convert the Percentage to a Decimal:
- To work with percentages, convert 14.6% to a decimal.
- [tex]\( 14.6\% = \frac{14.6}{100} = 0.146 \)[/tex]
3. Calculate the Weight of Fat:
- Multiply the total weight by the body fat percentage in decimal form.
- [tex]\( \text{Weight of fat} = 139 \text{ pounds} \times 0.146 = 20.294 \text{ pounds} \)[/tex]
4. Round the Result to the Nearest Tenth:
- The weight of fat, 20.294 pounds, should be rounded to the nearest tenth.
- After rounding, we get 20.3 pounds.
Therefore, the number of pounds of her weight that is made up of fat is 20.3 pounds.
