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Suppose that an individual has a body fat percentage of 12.7% and weighs 137 pounds. How many pounds of his weight is made up of fat?

Round to the nearest tenth.

Answer :

Sure, let's solve the problem step-by-step.

We need to find out how many pounds of a person's weight is made up of fat given that the individual has a body fat percentage of 12.7% and weighs 137 pounds. We are to round the answer to the nearest tenth.

### Step-by-Step Solution:

1. Identify the Percentage and Weight:
- Body fat percentage: 12.7%
- Weight: 137 pounds

2. Convert the Percentage to a Decimal:
- To convert a percentage to a decimal, divide by 100.
[tex]\[
\text{Body fat percentage as a decimal} = \frac{12.7}{100} = 0.127
\][/tex]

3. Calculate the Pounds of Body Fat:
- Multiply the weight by the body fat percentage (in decimal form):
[tex]\[
\text{Pounds of body fat} = 137 \times 0.127 = 17.399
\][/tex]

4. Round to the Nearest Tenth:
- To round to the nearest tenth, look at the digit in the hundredths place (which is 9 in this case). Since it is 5 or greater, we round up:
[tex]\[
\text{Rounded pounds of body fat} = 17.4
\][/tex]

Therefore, the amount of weight that is made up of fat is 17.4 pounds.

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