5. Xiao Ming and Xiao Lin are playing the water-carrying game. The two use the same water samples to carry water and pour it into the same empty basin. The game is scored as follows: if the basin overflows when Xiao Ming pours water, 10 points are recorded; if the basin overflows when Xiao Lin pours water, 9 points are recorded; if the basin is not full after all the water is poured in one round, 3 points are recorded.
In the first round, Xiao Ming pours 5 buckets of water first, and when Xiao Lin pours 5 buckets of water, the basin overflows:
In the second round, Xiao Ming pours 2 buckets of water first, and Xiao Lin pours 7 buckets of water to end the game, but the basin is still not full:
In the third round, Xiao Ming pours 13 buckets of water alone to end the game.
After the three rounds of the game, the total score for these three rounds is $\qquad$ points.
【Answer】22 points
【Analysis】In the first round, the score is 9 points, in the second round, it is 3 points. Because the second round was not full, it is known that the amount of water in Xiao Ming's 3 buckets is greater than the amount of water in Xiao Lin's 2 buckets. Xiao Ming pours 13 buckets of water alone, which is equivalent to pouring 5 buckets first, then 8 buckets. 8 buckets of water are more than Xiao Lin's $\frac{16}{3}$ buckets, and if Xiao Lin pours another 5 buckets, it will overflow, so the water will overflow, and the third round scores 10 points. In total, $9+3+10=22$.