Let's analyze the options based on the ratio of green and red marbles provided.
From the problem, we see that for every 8 green marbles, there are 6 red marbles, which implies the ratio of green to red marbles is:
\[ \text{Ratio of Green to Red} = \frac{8}{6} = \frac{4}{3} \]
Now we can evaluate each statement:
A. There are 4 green marbles for every 3 red marbles.
- This statement is correct based on the simplified ratio we derived (4:3).
B. The ratio of the number of green marbles to the total number of marbles is 4:3.
- Total marbles for the smallest example (8 green and 6 red) is \( 8 + 6 = 14 \).
- The ratio of green marbles to total marbles is \( \frac{8}{14} = \frac{4}{7} \).
- This statement is incorrect.
C. The ratio of the number of red marbles to the total number of marbles is 7:3.
- Using 8 green and 6 red, total is 14. The ratio of red marbles would be \( \frac{6}{14} = \frac{3}{7} \).
- This statement is incorrect.
D. For each red marble, there are 2 green marbles.
- The ratio of red to green is \( \frac{6}{8} = \frac{3}{4} \). So, for each red marble there are \( \frac{8}{6} = \frac{4}{3} \) green marbles.
- This statement is incorrect as it suggests there are 2 green marbles for each red marble.
Thus, the correct statement is:
A. There are 4 green marbles for every 3 red marbles.