100 kg. Calculate by drawing the unit diagram that must be superimposed to have a fat fraction of 3.5% to add from those with a fat fraction of 3.5% fat and aged 3.8% and 0.5% fat.
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We have 100 kg of a mixture with 3.5% fat content. Show more…
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A two-component model used to determine percent body fat in a human body assumes that a fraction $f$ ($< 1$) of the body's total mass $m$ is composed of fat with a density of 0.90 g$/cm^3$, and that the remaining mass of the body is composed of fat-free tissue with a density of 1.10 g$/cm^3$. If the specific gravity of the entire body's density is $X$, show that the percent body fat ($= f \space \times$ 100) is given by $$\%Body fat = \frac {495}{X} - 450.$$
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A two-component model used to determine percent body fat in a human body assumes that a fraction $f(<1)$ of the body's total mass $m$ is composed of fat with a density of $0.90 \mathrm{g} / \mathrm{cm}^{3},$ and that the remaining mass of the body is composed of fat-free tissue with a density of 1.10 $\mathrm{g} / \mathrm{cm}^{3} .$ If the specific gravity of the entire body's density is $X,$ show that the percent body fat $(=f \times 100)$ is given by $$\% \text { Body fat }=\frac{495}{X}-450$$
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