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?

Question

1593 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-09T14:58:26

$10$ $10$ questions

To simplify this question, we are basically asking this:

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

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

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

Now all we do is solve:

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

$x = \frac{8}{\frac{4}{5}}$ $x=8/(4/5)$

$x = (\frac{8}{1}) \cdot (\frac{5}{4})$ $x=(8/1) * (5/4)$

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

$x = 10$ $x=10$ questions