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The number of kilograms of water in a human body varies directly as the mass of the body. An 84-kg person contains 56 kg of water. How many kilograms of water are in a 63-kg person?

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kg of water are in a 63-kg person.

Answer :

There is 42 kg of water in a 63 kg person.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 4 is an equation.

We have,

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

This means,

W ∝ M

Where W is the kg of water and M is the mass of the body.

Now,

W = KM

W = 56 kg

M = 84 kg

So,

56 = 84K

K = 56/84

Now,

For M = 63,

W = KM

W = 56/84 x 63

W = 42

Thus,

There is 42 kg of water.

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Rewritten by : Barada

Answer:

42

Step-by-step explanation:

To find the amount of water in a 63-kg person you must first find the unit rate in an 84-kg person.

84 ÷ 56 = 1.5

1.5 is how much human body weight there is as a unit rate over 1-kg of water.

1.5 x 56 = 84, so this shows we are correct.

84 ÷ 1.5 = 56, so that goes even further to prove you are correct.

Now, what's the amount of water in a 63-kg person?

1.5 is the unit rate we found out was used, so it should still be proportional.

63 ÷ 1.5 = 42.

Indeed, it is proportional. You are correct.

The answer is 42.