High School

The number of kilograms of water in a human body varies directly as the mass of the body.

A 93-kg person contains 62 kg of water. How many kilograms of water are in an 84-kg person?

Answer :

Answer;

56 kg of water


Solution;

Weight = 62 kg of water in 93 kg of a person

W=km

62=93k;

k=2/3

W=(2/3)84

=56 kg

Therefore; a 84-kg person will have 56 kg of water.

Final answer:

To find the estimated kilograms of water in an 84-kg person, we use the constant of variation obtained from a 93-kg person who contains 62 kg of water. This comes out to approximately 56 kg of water in an 84-kg individual.

Explanation:

The number of kilograms of water in a human body varies directly as the mass of the body. If a 93-kg person contains 62 kg of water, we can find the constant of variation, k, by dividing the mass of water by the mass of the body:

k = ​​62 kg ​​/​​93 kg = 0.6667 approx.

Using this constant of variation, we are able to determine the mass of water in an 84-kg person:

Mass of water = k * mass of body
= 0.6667 * 84 kg
= 56 kg approx.

Therefore, an 84-kg person would contain approximately 56 kilograms of water.