Rounding

For some value to round to $9$ , it must be greater than or equal to $8.5$ and less than $9.5$ . Thus we are looking for the integers such that $8.5 \le \dfrac{n}{3} < 9.5$ . We multiply be $3$ to get $25.5 \le n < 28.5$ . The integers in this range are ${26,27,28}$ , so there are $\fbox{3}$ integers that satisfy this condition.