# How do you translate "25 less than the quotient of w and 5" into an algebraic expression?

Jul 22, 2015

$\frac{w}{5} - 25$
$\textcolor{w h i t e}{\text{XXXX}}$...probably (see below)

#### Explanation:

The quotient is the result of dividing one value by another value:

$\textcolor{w h i t e}{\text{XXXX}}$$\text{dividend"/"divisor" = "quotient}$

The difficulty here is in the phrasing. Normally we would say "the quotient of $w$ divided by $5$. As stated, it is unclear which is the dividend and which is the divisor ; so, one might argue that
$\textcolor{w h i t e}{\text{XXXX}}$$\frac{5}{w} - 25$