Question

Peter answered 86% of a 50-question test correctly. How many correct answers did he give? How many answers were incorrect?

Answer 1

43 questions.

Explanation:

Recall: A percentage is a way of expressing a fraction, but considered as though it were out of 100.

Nevertheless, it is still a fraction.

If the question had read ......
"Peter answered half of the questions correctly, you would not have hesitated in answering.
`1/2 xx 50 = 25` questions.

This could also have been written as...

`50% xx 50 = 50/100 xx50 = 25` questions, because 50% = `1/2`

In the same way we can find 86% of 50 questions..

`86% xx 50 = 86/100 xx 50`

`86/cancel100^2 xx cancel50 = 86/2 = 43` questions.