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

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

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Answer 1 · 2015-07-22T00:51:20

$\frac{w}{5} - 25$ $w/5 - 25$
$XXXX$ $color(white)("XXXX")$ ...probably (see below)

Explanation:

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

$XXXX$ $color(white)("XXXX")$ $\frac{dividend}{divisor} = quotient$ $"dividend"/"divisor" = "quotient"$

The difficulty here is in the phrasing. Normally we would say "the quotient of $w$ $w$ divided by $5$ $5$ . As stated, it is unclear which is the dividend and which is the divisor ; so, one might argue that
$XXXX$ $color(white)("XXXX")$ $\frac{5}{w} - 25$ $5/w -25$
is an equally valid answer.

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

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