Answer: Sasha drank \(5\dfrac{1}{2}\) cups of water in total.
Step-by-step explanation: Given that Sasha drank \(2\dfrac{1}{2}\) pints of water during dance practice and she drank \(\dfrac{1}{2}\) cup of water on the way back home.
We are to find the total quantity of water that she drank in total.
We know that
\(1~\textup{pint of water}=2~\textup{cups of water,}\\\\\textup{So, }2\dfrac{1}{2}~\textup{pints of water}=2\times 2\dfrac{1}{2}=2\times\dfrac{5}{2}=5~\textup{cups of water}.\)
Therefore, the total quantity of water That Sasha drank will be
\(T_w=5+\dfrac{1}{2}=\dfrac{11}{2}=5\dfrac{1}{2}~\textup{cups of water}.\)
Thus, Sasha drank \(5\dfrac{1}{2}\) cups of water in total.