A baker baked a cake. There are 16 piece cakes from one full cake. She ate $\frac{1}{4}^{th}$ of the one full. She baked 2 more cakes. How many piece cakes does she have now?

Question

$\begin{array}{11} (a)\;36 \\ (b)\; 38 \\ (c)\; 40 \\ (d)\; 44 \end{array}$