Soru

A survey of $500$ university researchers evaluated their usage of three high-performance computing resources: Cloud Containers ($C$), GPU Accelerators ($G$), and Distributed Storage ($D$). Exactly $50$ researchers use none of these three resources. The survey revealed that equal numbers of researchers use Cloud Containers and GPU Accelerators ($|C| = |G| = 240$), while $210$ researchers use Distributed Storage ($|D| = 210$). Exactly $40$ researchers use all three resources. Furthermore, the number of researchers who use both $C$ and $G$ but not $D$ is equal to the number who use both $G$ and $D$ but not $C$, and this quantity is exactly twice the number of researchers who use both $C$ and $D$ but not $G$.

How many researchers use GPU Accelerators ($G$) ONLY?