AMC 10 2018a

What is the value of $$\bigg(\Big((2+1)^{-1}+1\Big)^{-1}+1\bigg)^{-1}+1?$$ $\textbf{(A) } \frac{5}{8} \textbf{(B) } \frac{11}{7} \textbf{(C) } \frac{8}{5} \textbf{(D) } \frac{18}{11} \textbf{(E) } \frac{15}{8}$

Liliane has $50\%$ more soda than Jacqueline, and Alice has $25\%$ more soda than Jacqueline. What is the relationship between the amounts of soda that Liliane and Alica have? $\textbf{(A) }\text{ Liliane has } 20\%\text{ more soda than Alice.}$ $\textbf{(B) }\text{ Liliane has } 25\%\text{ more soda than Alice.}$ $\textbf{(C) }\text{ Liliane has } 45\%\text{ more soda than Alice.}$ $\textbf{(D) }\text{ Liliane has } 75\%\text{ more soda than Alice.}$ $\textbf{(E) }\text{ Liliane has } 100\%\text{ more soda than Alice.}$