Question
10. STEM The average adult is about \( 60 \% \) water. One liter of water has a mass of 1 kilogram. If a person's body contains 45 liters of water, what is the person's mass in kilograms?
Ask by Little Gibson. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The person's mass is 75 kilograms.
Solution
Since 45 liters of water equals 45 kilograms and this represents 60% of the person's total mass, we can set up the equation:
0.60 × (total mass) = 45 kg
To find the total mass, divide both sides of the equation by 0.60:
total mass = 45 kg / 0.60 = 75 kg
So, the person's mass is 75 kilograms.
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Simplify this solution Mind Expander
A person's mass in kilograms can be calculated by recognizing that their body contains approximately 45 liters of water. Since 1 liter of water has a mass of 1 kilogram, this means that 45 liters of water would have a mass of 45 kilograms. Therefore, if the average adult's water content is about 60%, you can understand that if water constitutes 60% of the total mass, you can find the total mass by calculating \( 45 kg / 0.60 = 75 kg \). So, the person’s total mass is approximately 75 kilograms! This formula is handy when estimating body composition based on the average water content in humans, illustrating the significance of hydration in overall health.
