Question

The number of kilograms of water in aperson's body varies directly with the person's mass. A person with a mass of 90 kg contains 60kg of water. How many kilograms of water will be there in a person with a mass of 50 kg.

Answer 1

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WE CAN DIRECTLY SOLVE IT BY THIS METHOD......

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90*50/60

4500/60

75

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SO THE PERSON OF WEIGHT 50 KG NEEDS 75 KG WATER.....

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Answer 2

Given:

The number of kilograms of water in a person's body varies directly with the person's mass.

A person with a mass of 90 kg contains 60kg of water.

To find:

How many kilograms of water will be there in a person with a mass of 50 kg.

Solution:

As it is given that the number of kilograms of water in a person's body varies directly with the person's mass.

kilograms of water $\proportion$∝  mass.

60 kg : 90 kg

x kg : 50 kg

This establishes a proportionality between the two ratios

60 kg : 90 kg :: x kg : 50 kg

60 : 90  :: x : 50

We will put this proportionality into an equation for the ease of solving the question.

60/ 90= x / 50

We will move all the numeric values to one side

60 × 50 / 90 = x

3000/ 90 = x

30 / 9 = x

100/ 3 = x

x = 100/3

x = 33.3

Therefore, 33.3  kilograms of water will be there in a person with a mass of 50 kg.