2017 AMC 8 Problem 14

Chloe and Zoe are both students in Ms. Demeanor's math class. Last night, they each solved half of the problems in their homework assignment alone and then solved the other half together. Chloe had correct answers to only 80\% of the problems she solved alone, but overall 88\% of her answers were correct. Zoe had correct answers to 90\% of the problems she solved alone. What was Zoe's overall percentage of correct answers?

\textbf{(A) }89\qquad\textbf{(B) }92\qquad\textbf{(C) }93\qquad\textbf{(D) }96\qquad\textbf{(E) }98

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