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Chapter 1: Problem 62

Water accounts for \(60 \%\) of a man's weight (Source: ga.water.usgs.gov/edu). Jake weighs 186 lb. How much of his body weight is water?

Short Answer

Expert verified
111.6 lb

Step by step solution

01

Identify the Given Data

Jake's weight is given as 186 lb, and water accounts for 60% of his body weight.
02

Convert Percentage to Decimal

Convert the percentage of water (60%) to a decimal. This is done by dividing by 100: 60% = 60/100 = 0.60.
03

Calculate the Weight of Water

Multiply Jake's total weight by the decimal form of the percentage. This will give the weight of the water in his body: Weight of water = 0.60 脳 186 lb = 111.6 lb.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Percentage Conversion
When working with percentages, converting them into decimal form is key. This makes mathematical operations much simpler and straightforward. To convert a percentage to a decimal, you divide the percentage by 100.
For instance, if you have 60%, you perform the operation \(60 / 100 = 0.60\).
This conversion is essential for further calculations and ensures precision.
Always remember to make this conversion for any percentage-related calculations.
Body Weight
Understanding the concept of body weight is crucial in exercises like this one.
Body weight refers to the total mass of a person's body, typically measured in pounds (lb) or kilograms (kg).
For our problem, we have Jake's weight as \(186 \text{ lb}\).
This information is used alongside the percentage of water in Jake's body to find out how much of his total body weight is water.
Remember, always use the given weight correctly in your calculations to get accurate results.
Multiplication
Multiplication is a fundamental mathematical operation.
Here鈥檚 how to use it in this context:
You need to multiply Jake鈥檚 total weight by the decimal form of the percentage that represents water.
So you take \(186 \text{ lb}\) and multiply it by \(0.60\) (which is the decimal form of 60%).
The equation will look like this: \(186 \times 0.60 = 111.6 \).
This calculation helps you find out that the weight of the water in Jake's body is \(111.6 \text{ lb}\). Remember, multiplication helps find portions or parts of whole numbers, which is exactly what you鈥檙e doing here.

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