# Eight plus the quotient of a number and 3 is -2, what is the number?

Oct 25, 2016

The number is $- 30$.

#### Explanation:

We must write the verbal expression algebraically. Let $x$ represent the number.

$8 + \frac{x}{3} = - 2$
$8 - 8 + \frac{x}{3} = - 2 - 8$
$\frac{x}{3} = - 10$
$3 \left(\frac{x}{3}\right) = 3 \left(- 10\right)$
$x = - 30$