Christopher has a stick that he has marked out in tenths. He has to break the stick into three pieces of which no two pieces can have the same length. Give three equations that show different ways in which he could break the stick. (4 points)
Let's denote the lengths of the three pieces as $x$, $y$, and $z$, where $x > y > z$. Each equation will represent a different way that the stick can be broken.
1) $x = 1.0$, $y = 0.6$, $z = 0.5$
2) $x = 0.9$, $y = 0.7$, $z = 0.3$
3) $x = 0.8$, $y = 0.4$, $z = 0.3$