Let's analyze the given situation:
You mentioned that there are:
- 8 red marbles
- 5 green marbles
- 6 purple buttons
To find the ratio of purple buttons to green marbles, we have 6 purple buttons and 5 green marbles.
The ratio of purple buttons to green marbles is:
\[ \text{Ratio} = \frac{\text{Number of purple buttons}}{\text{Number of green marbles}} = \frac{6}{5} \]
The student wrote the ratio as 5:6. This means they claimed that there are 5 purple buttons for every 6 green marbles, which is incorrect.
Thus, the correct ratio of purple buttons to green marbles is 6:5, not 5:6.
Therefore, the student is not correct.