Chapter 6.1, Problem 46HP

To determine

Calculate the mistake and correct it.

Answer to Problem 46HP

The correct is $56\%$ .

Explanation of Solution

Given:

It is given in the question that Bethany is finding what percent of $32$ is $18$ .

Concept Used:

In this, use the concept of percent proportion such that the ratio of given two number will equal to the ratio of $p/100$ .

Calculation:

Here,

Bethany found the correct value for x . Here mistake was in interpreting the percentage proportion.

  $\begin{array}{l}\frac{18}{32}=\frac{p}{100}\\ p\cdot 32=18\cdot 100\\ p=\frac{18\times 100}{32}\\ p=\frac{1800}{32}\\ p\approx 56.25\%\end{array}$

So it also means that $18$ is to $32$ as $56$ is to $100$ , or, in percentage terms, $18$ is $56\%$ of $32$ .

Conclusion:

The correct is $56\%$ .