# Question 91423

Dec 20, 2016

#### Answer:

75%# of the students passed the test.

#### Explanation:

If $8$ students out of $32$ failed the test, it means that $\left(32 - 8\right)$ or $24$ passed the test.

To calculate the percentage value $\left(x\right)$, we write the equation:

$32 \times \frac{x}{100} = 24$

Multiply both sides by $\frac{100}{32}$.

$x = 24 \times \frac{100}{32}$

$x = 3 \cancel{24} \times \frac{100}{4 \cancel{32}}$

$x = 3 \times \frac{25 \cancel{100}}{1 \cancel{4}}$

$x = 3 \times 25$

$x = 75$