Chapter 0.6, Problem 25E

To determine

To calculate: The percentage of correct answers when Brian answered 36 items correct out of 40.

Answer to Problem 25E

The percentage of correct answers when Brian answered 36 items correct out of 40is $90\%$ .

Explanation of Solution

Given information:

In a test, Brian answered 36 answers correct out of 40-item test.

Formula used:

Percent proportion is ratio of amount and base is same as percent to 100.

To convert percentage to fraction divide the number by 100.

Calculation:

It is provided that in a test, Brian answered 36 answers correct out of 40-item test.

Let xpercent of answers are correct.

Recall that percent proportion is ratio of amount and base is same as percent to 100.

According to the question, number of correct answers divided by total number of questions multiplied by 100 give the desired result,

  $\begin{array}{c}\frac{36\times 100}{40}=x\\ 90=x\end{array}$

Therefore, he answered $90\%$ answers correctly.

Thus, the percentage of correct answers when Brian answered 36 items correct out of 40 is $90\%$ .