Chapter SH, Problem 7.4.5EP

To determine

To calculate: To solve the problem

Answer to Problem 7.4.5EP

  $37\frac{1}{2}\%$ of $80$ is $20$

Explanation of Solution

Given information: $37\frac{1}{2}\%$ of $80$

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:

  $37\frac{1}{2}\%$ of $80$

Using percent proportion,

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

Substituting the values,

  $\begin{array}{l}\frac{amount}{80}=\frac{37\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}{100}\\ Amount=\frac{\raisebox{1ex}{$5$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\times 80}{100}\\ Amount=\frac{75\times 80}{3\times 100}\\ Amount=\frac{3\times 80}{3\times 4}\\ Amount=\frac{1\times 20}{1\times 1}\\ Amount=20\end{array}$

Conclusion:

Hence, $37\frac{1}{2}\%$ of $80$ is $20$