Answer :
Answer:
The answer is 48 kg of water
Step-by-step explanation:
If kg of water varies directly with kg of human body
84 kg p = 56 kg w
72 kg p = ? kg w
If we cross multiply, we will have
? 84 = 56*72
? 84 = 4032
Divide both side by 84 to get the value of the unknown ?
? = 4032/84
? = 48 kg of water
Final answer:
To find the amount of water in a 72-kg person, we first determine the constant of proportionality by dividing 56 kg by 84 kg, which equals 2/3. Multiplying this constant by the mass of the 72-kg person gives us 48 kg, which is the amount of water in that person.
Explanation:
The question involves a direct variation, where the number of kilograms of water in a human body directly relates to the mass of the body. Given that an 84-kg person contains 56 kg of water, we can find the constant of proportionality (k) by dividing the weight of water by the mass of the person: k = 56 kg ÷ 84 kg = 2/3. Now, to find the number of kilograms of water in a 72-kg person, we multiply their mass by the constant of proportionality: water in 72-kg person = (2/3) × 72 kg.
Calculating this we get:
Water in 72-kg person = 48 kg.
So a 72-kg person would contain 48 kg of water.
