If Ruthie scores 2 goals for every 7 shots, we can set up a proportion to find out how many shots she took when she scored 8 times.
We know that:
- For every 2 goals scored, she takes 7 shots.
- If she scored 8 goals, we can determine how many sets of 2 goals are in 8 goals:
\[ \text{Number of sets of 2 goals} = \frac{8}{2} = 4 \]
Now, since each set of 2 goals requires 7 shots, we can find the total number of shots by multiplying the number of sets by the number of shots per set:
\[ \text{Total shots} = 4 \times 7 = 28 \]
Therefore, Ruthie took 28 shots on goal.