16. (15 points) In a certain archery competition, the target has 4 concentric circles. As shown in the figure, each circle contains a number which represents the score obtained by hitting that circle. Athlete Huang Liang shot 10 arrows, and each circle was hit, scoring a total of 110 points. The question is: How many arrows hit each circle?
【Analysis】According to "each ring is hit by an arrow," it indicates that at least four arrows hit the scores of $8, 12, 14, 18$ respectively. Therefore, the scores from the remaining 6 arrows are: $110-8-12-14-18=58$. Then, decompose 58 into: $58=8+12+14+18+6$. Add 6 to one of the other 4 numbers so that the sum of this number and 6 can be three times the other three scores. Only $18+6=8+8+8$ fits. Therefore, $58=8+12+14+18+6=8+12+14+(18+6)=8+12+14+8+8+8$, from which we can determine the number of times each ring is hit.

【Solution】Solution: Since each ring is hit by an arrow, the scores from 6 hits are: $110-8-12-14-18$
$$
\begin{array}{l}
=58 \text { (points), } \\
58=8+12+14+18+6=8+12+14+(18+6)=8+12+14+8+8+8=8 \times 4+12+14,
\end{array}
$$

Therefore: $110=8 \times 5+12 \times 2+14 \times 2+18 \times 1$;
Thus, 8 points were hit 5 times, 12 points were hit 2 times, 14 points were hit 2 times, and 18 points were hit 1 time.