To find the average number of points Yuki scored per game, we start with the equation given:
\[ 5y = 110x \]
First, we can solve for \( y \):
- Divide both sides of the equation by 5:
\[ y = \frac{110x}{5} \]
- Simplify the right side:
\[ y = 22x \]
This equation shows that the total points \( y \) scored by Yuki is equal to 22 times the number of games \( x \).
To find the average points per game, we divide the total points by the number of games:
\[ \text{Average points per game} = \frac{y}{x} = \frac{22x}{x} = 22 \]
Thus, Yuki averaged 22 points per game.
The answer is B. 22.