Chapter 7, Problem 21CR

To determine

To find: The number.

Answer to Problem 21CR

The number which $22\%\text{ of 150}$ is $33$ .

Explanation of Solution

Given information: What number is $22\%\text{ of 150}$ .

Calculation: Percent $(\%)$ means ‘out of $100$ ’ and when dealing with percents the word ‘of’ means ‘times or to multiply’.

Hence, $22\%$ can be written as $\frac{22}{100}$ and $22\%\text{ of 150}$ can be written as $\frac{22}{100}\times 150$ .

Let, the number we are looking for is $x$ .

Let’s find the value of $x$ ,

  $\begin{array}{l}x=\frac{22}{100}\times 150\\ x=\frac{22\times 6}{4}\\ x=\frac{11\times 6}{2}\\ x=11\times 3\\ x=33\end{array}$

Hence, The number which $22\%\text{ of 150}$ is $33$ .