Question 84
Three problems $A$, $B$ and $C$ were given in a mathematical olympiad and there were $25$ participants. Every participant solved at least $1$ problem. Among the participants who didn't solve problem $A$, the number of participants who solved $B$ is twice as much as the number of participants who solved problem $C$. The number of participants who solved only problem $A$ is $1$ more than the number of remaining participants who solved problem $A$. Half of the participants who solved just one problem didn't solve problem $A$. How many participants solved just one problem $B$?