2014 AMC 10A Problem 2

Roy's cat eats \frac{1}{3} of a can of cat food every morning and \frac{1}{4} of a can of cat food every evening. Before feeding his cat on Monday morning, Roy opened a box containing 6 cans of cat food. On what day of the week did the cat finish eating all the cat food in the box?

\textbf{(A)}\ \text{Tuesday}\qquad\textbf{(B)}\ \text{Wednesday}\qquad\textbf{(C)}\ \text{Thursday}\qquad\textbf{(D)}\ \text{Friday}\qquad\textbf{(E)}\ \text{Saturday}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.