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Chapter 7: Problem 98

Recall that \(1=100 \% .\) This means that 1 whole is \(100 \%\). The top four components of bone are below. Find the missing percent. 1\. Minerals \(-45 \%\) 2\. Living tissue \(-30 \%\) 3\. Water \(-20 \%\) 4\. Other-?

Short Answer

Expert verified
The missing percent is 5%.

Step by step solution

01

Understand the Total Percentage

In any complete whole or total, the sum of all parts' percentages must equal 100%. Therefore, if we are given different components with percentages, they should sum up to 100%.
02

Identify the Given Percentages

We are given the following percentages: Minerals are 45%, Living tissue is 30%, and Water is 20%. These add up to 95%.
03

Calculate the Missing Percentage

The missing percentage is the difference between the total percentage and the sum of the given percentages. Therefore, we calculate as follows: \( \text{Missing percentage} = 100\% - (45\% + 30\% + 20\%) \).
04

Perform the Calculation

Carry out the arithmetic operation: \( \text{Missing percentage} = 100\% - 95\% = 5\% \).

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Key Concepts

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

Whole Number Equivalent
In percentage problems, understanding that 1 is equal to 100% is crucial. A whole number equivalent helps you interpret percentages in a way that makes them easy to work with. For example, when you hear 45%, you can relate this to 0.45 if you were converting it into a decimal form. Similarly, if you have a full pie, using percentages allows you to see how the pie is divided into different parts, each representing a fraction of that whole. Remember, the full pie is equivalent to 100% or a whole number 1.
Sum of Percentages
When dealing with a group of items or components whose percentages add up to a certain total, it helps to visualize these parts as pieces of a whole. In our example, we have four components of bones, with three given percentages: 45%, 30%, and 20%. Together, they make up 95% of the whole. To find out how much the fourth component is, you simply need to ensure all parts, when summed, equal 100%. Thus ensuring nothing is left out. This addition of percentages confirms that all parts together make the total complete, just like categories making up a complete set.
Difference Calculation
Calculating the difference is all about finding what is missing from a total. In our bone composition example, we're missing a percentage value that needs to be filled. To do so, start by adding the known percentages. If those amount to less than 100%, the shortfall represents the missing element. Our given percentages鈥�45%, 30%, and 20%鈥攁dd up to 95%. Thus, the difference when we subtract these from 100% is 5%, the missing percentage. Difference calculation is often used to determine remaining parts in sums, helping find "what's left."
Basic Arithmetic
Basic arithmetic is a fundamental skill that is particularly useful in calculations like these. The operations involved include addition and subtraction, which are handy when working with percentages. 1. **Addition**: First, you add together the given percentages: - 45% + 30% + 20% = 95% - This sum tells you how much of the total 100% is covered by the given data.
2. **Subtraction**: Subtract this sum from 100%: - 100% - 95% = 5%
By mastering these basic arithmetic operations, you can easily navigate through percentage calculation problems. Understanding these operations will enhance your mathematical proficiency.

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Most popular questions from this chapter

In a particular year, 0.781 of all electricity produced in France was nuclear generated. Write this decimal as a percent.

A fraction written as a percent is greater than \(100\%\) when the numerator is ______ than thedenominator.

Complete each table. $$\begin{array}{|c|c|c|} \hline \text { Percent } & \text { Decimal } & \text { Fraction } \\ \hline 800 \% & & \\ \hline & 3.2 & \\ \hline 608 \% & & \\ \hline & & 9\frac{13}{50} \\ \hline\end{array} $$

Solve. \(1.8 \%\) of 48 is what number?

In 1999, Napster, a free online file-sharing service, debuted. iTunes, which debuted in 2003 , is given credit for getting people to start paying for digital music. In \(2015,\) for the first time, streaming music was the largest revenue producer in the music industry. By comparing prices, a particular music album downloads from a low of \(\$ 2.99\) to a high of \(\$ 7.99 .\) Find the percent of increase from \(\$ 2.99\) to \(\$ 7.99 .\)
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