Chapter SH, Problem 7.3.10EP

To determine

To calculate: To solve the problem using percent proportion and round to the nearest tenth if necessary

Answer to Problem 7.3.10EP

  $9.4$ is $40\%$ of $23.5$

Explanation of Solution

Given information: Problem is $9.4$ is $40\%$ of what number

Formula Used:

Percent proportion is an equation where a percent is equal to an equivalent ratio

Formula for percent proportion is

  $\frac{amount}{base}=\frac{percent}{100}$

Calculation:

Given problem is as follows:

  $9.4$ is $40\%$ of what number

Let the number be $x$

Using percent proportion,

  $\frac{amount}{base}=\frac{percent}{100}$

Substituting the values,

  $\begin{array}{l}\frac{9.4}{x}=\frac{40}{100}\\ x=9.4\times \frac{100}{40}\\ x=9.4\times \frac{10}{4}\\ x=2.35\times \frac{10}{1}\\ x=23.5\end{array}$

Conclusion:

Hence, $9.4$ is $40\%$ of $23.5$