# How do you write an equation represents this situation: Charlie worked 1.5 hours less than Dirk. Together, they worked a total of 25 hours. Dirk worked h hours?

Apr 30, 2016

Dirk worked 13.25 hours

#### Explanation:

Since Charlie worked $1.5$ hours less than Dirk, we can represent Charlie as $D i r k - 1.5$. The equation is then:

$D i r k - 1.5 + D i r k = 25 h o u r s$

$2 D i r k = 26.5 h o u r s$ and $D i r k = 13.25 h o u r s$

We can check this by plugging $13.25 h o u r s$ back into the equation:

$13.25 - 1.5 + 13.25 = 11.75 + 13.25 = 25 h o u r s$