jmc

Begin by assigning variables. Let $p$=the cost of the pen and $i$=the cost of the ink. From what we are given, $$\begin{array}{rl}p+i& =1.10,\\ p& =1+i.\end{array}$$ Substituting for $p$ in the first equation, we find: $1+i+i=1.10$, so $2i=.10$ and $i=.05$. Therefore, $p=1+i=\boxed{1.05}$ dollars.