Question

Kalen answers 6 questions correctly on his quiz. He earned a 75%. How many questions were on the quiz?

Answer 1

Explanation:

The fact that Kalen earned a 75% means that 6 questions are 75% of the total number of questions. And for a moment, if we call T the total number of questions, then we know that

`T*(75\%)/(100\%)=6`

which simplifies to

`T*0.75=6`

Dividing both sides by 0.75 gives

`T*0.75/0.75=6/0.75`
`T=6/0.75`
`T=8`

Hence, the total number of questions on the test was 8.

In short, the formula for solving such problems is

`T=\frac{100}{\text{percent}}* n\text{umber}`

where number is that which is some percent of the original amount.