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

54 kg

Step-by-step explanation:

Mass of person = 93 kg =
`m_p`

Mass of water = 62 kg =
`m_w`

Dividing the above two masses we get

`(m_p)/(m_w)=(93)/(62)\\\Rightarrow (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=(1)/(1.5) m_p\\\Rightarrow m_w=(1)/(1.5) * 81\\\Rightarrow m_w=54\ kg`

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