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 a 69 kg person?

Answer :

A 69 kg person would have approximately 46 kilograms of water in their body.

The number of kilograms of water in a human body varies directly as the mass of the body. In other words, the more mass a person has, the more kilograms of water they will have in their body.

To solve this problem, we can use the concept of direct variation. We are given that a 93-kg person contains 62 kg of water. We can set up a proportion to find the number of kilograms of water in a 69 kg person.

Let x represent the number of kilograms of water in the 69 kg person.

Using the direct variation equation, we can write:

93 kg / 62 kg = 69 kg / x

To solve for x, we can cross-multiply:

93 kg * x = 62 kg * 69 kg

Now, we can solve for x by dividing both sides of the equation by 93 kg:

x = (62 kg * 69 kg) / 93 kg

Calculating this expression, we find that x is approximately 46 kg.

In summary, the number of kilograms of water in a human body varies directly with the mass of the body. Using the given information, we can set up a proportion to find the number of kilograms of water in a 69 kg person. By solving the proportion, we find that a 69 kg person would have approximately 46 kilograms of water in their body.

To know more about the direct variation, click here;

https://brainly.com/question/29150507

#SPJ11