Final answer:
The bag contains 42 green marbles.
Step-by-step explanation:
To determine how many green marbles a bag contains, we can use the ratio of red marbles to green marbles. In this case, the ratio is 4 red marbles for every 7 green marbles. We are given that the bag has 24 red marbles. To find the number of green marbles, we can set up a proportion:
4/7 = 24/x
Cross-multiplying and solving for x, we find:
x = (7 * 24) / 4 = 42
Therefore, the bag contains 42 green marbles.