# Samantha answered 4/5 of her math quiz correctly she has answered 8 questions correct, how many questions were on the quiz? How do I figure out this equation?

Mar 9, 2018

$10$ questions

#### Explanation:

To simplify this question, we are basically asking this:

"$\frac{4}{5}$ of what number of questions equals the $8$ questions she completed?"

Realizing this, we can easily derive an equation from the information.

$\frac{4}{5} x = 8$

Now all we do is solve:

$\frac{4}{5} x = 8$

$x = \frac{8}{\frac{4}{5}}$

$x = \left(\frac{8}{1}\right) \cdot \left(\frac{5}{4}\right)$

$x = \frac{40}{4}$

$x = 10$ questions