Suppose that an individual has a body fat percentage of 19.2% and weighs 153 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.

Respuesta :

Step 1

The given body fat percentage = 19.2%

The given body weight = 153 pounds

Required: To find how many pounds of his weight is made up of fat.

Step 2

Find out what 19.2% of his weight is

[tex]\begin{gathered} \frac{100}{19.2}=\frac{153}{x} \\ \text{where x represents the value of 19.2\% of his weight in pounds} \end{gathered}[/tex][tex]\begin{gathered} 100x=\text{ 153}\times19.2 \\ \frac{100x}{100}=\frac{2937.6}{100} \\ x=29.376\text{ pounds} \\ x\approx\text{ 29.4 pounds to the nearest tenth} \end{gathered}[/tex]

Hence, the pounds of his weight made up of fat to the nearest tenth = 29.4 pounds