Question
Suppose that an individual has a body fat percentage of 19.9% and weighs 182 pounds. How many pounds of her weight is made up of fat? Round your answer to the nearest tenth.
Answers
GPT-4o mini
To find out how many pounds of the individual's weight is made up of fat, you can use the formula:
\[
\text{Weight of fat} = \text{Total weight} \times \text{Body fat percentage}
\]
In this case, the total weight is 182 pounds and the body fat percentage is 19.9%. First, convert the body fat percentage into decimal form:
\[
19.9\% = 0.199
\]
Now, multiply the total weight by the body fat percentage:
\[
\text{Weight of fat} = 182 \, \text{pounds} \times 0.199
\]
Calculating this gives:
\[
\text{Weight of fat} = 182 \times 0.199 = 36.178
\]
Now, round this value to the nearest tenth:
\[
36.178 \approx 36.2
\]
Thus, the weight made up of fat is approximately **36.2 pounds**.
\[
\text{Weight of fat} = \text{Total weight} \times \text{Body fat percentage}
\]
In this case, the total weight is 182 pounds and the body fat percentage is 19.9%. First, convert the body fat percentage into decimal form:
\[
19.9\% = 0.199
\]
Now, multiply the total weight by the body fat percentage:
\[
\text{Weight of fat} = 182 \, \text{pounds} \times 0.199
\]
Calculating this gives:
\[
\text{Weight of fat} = 182 \times 0.199 = 36.178
\]
Now, round this value to the nearest tenth:
\[
36.178 \approx 36.2
\]
Thus, the weight made up of fat is approximately **36.2 pounds**.