Vector Spaces & Bases · Medium problem

Let $\{(1,1,0),\ (0,1,1),\ (1,0,1)\}$ be a basis of $\mathbb{R}^3$, and suppose $(4,2,2) = a(1,1,0) + b(0,1,1) + c(1,0,1)$. Find $a+b+c$.