AMC 12 2025b Problem 5

Positive integers $x$ and $y$ satisfy the equation $57x+22y = 400$. What is the least possible value of $x+y$?

$\textbf{(A) } 10 \textbf{(B) } 11 \textbf{(C) } 13 \textbf{(D) } 14 \textbf{(E) } 15$