Chapter 6, Problem 26CR

To determine

The solution of the percent problem “What is 75% of 200?” with equation.

Answer to Problem 26CR

150

Explanation of Solution

Given:

The percent problem “What is 75% of 200?”.

Concept used:

To translate a phrase of the form “What is 75% of 200?” to an equation. First, assume that the number is x . Then, read the statement “ $A$ is $x\%$ of $B$ ”. In “ $x\%$ of $B$ ” the word “of” represents “multiplication”. So, the given statement can be translated in to an equation as follows:

  $\begin{array}{ccccc}\text{A}& \text{is}& \text{what percent}& \text{of}& B\\ \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \\ A& =& x& ·& B\end{array}$

So, the equation becomes $A=x·B$ .

Calculation:

Using the concept, the given statement can be translated into an equation as

  $x=200·\frac{75}{100}$ .

Now, solve the equation as follows:

  $\begin{array}{c}x=200·\frac{75}{100}\\ x=\frac{200·75}{100}\\ x=\frac{15000}{100}\\ x=150\end{array}$

Conclusion:

The solution of the percent problem is150.