Chapter 6.1, Problem 44HP

To determine

Calculate the percentage of the correct answers of the test.

Answer to Problem 44HP

The spelling will improving by the percentage of $86.67\%$ .

Explanation of Solution

Given:

It is given in the question that Sabrina spelled $82\%$ of her spelling words correct on her spelling test and then it gives a test in which she got $13$ out of $15$ words correctly.

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, Sabrina average will improve if her percentage increases, so find it.

  $\begin{array}{l}\frac{13}{15}=\frac{p}{100}\\ p\cdot 15=13\cdot 100\\ p=\frac{13\times 100}{15}\\ p=\frac{1300}{15}\\ p\approx 86.67\end{array}$

Since, the percentage is $86.67\%$ which is greater than the previous percentage $82\%$ .

So, from this, it concluded that it’s spelling will improving.

Conclusion:

The spelling will improving.