Question

The number of kilograms of water in a human body varies directly as the mass of the body. Upper AA 9393​-kg person contains 6262 kg of water. How many kilograms of water are in anan 8181​-kg ​person?

Answer 1

Answer:

54 kg

Explanation:

Mass of person = 93 kg = $m_p$

Mass of water = 62 kg = $m_w$

Dividing the above two masses we get

$\frac{m_p}{m_w}=\frac{93}{62}\\\Rightarrow \frac{m_p}{m_w}=1.5\\\Rightarrow m_p=1.5m_w$

Hence, the mass of the person is 1.5 times the mass of the water in them

Now, Mass of person = 81 kg = $m_p$

$m_p=1.5m_w\\\Rightarrow m_w=\frac{1}{1.5} m_p\\\Rightarrow m_w=\frac{1}{1.5} \times 81\\\Rightarrow m_w=54\ kg$

So, the mass of water in a person that has mass of 81 kg is 54 kg