Final answer:
To find the number of green marbles in proportion to the orange marbles, a ratio is set up based on the given relationship (5:6). The bag with 30 orange marbles will contain 36 green marbles.
Step-by-step explanation:
The question asked is: "Each marvel bag sold by Melissa Marvel Company contains five orange marbles for every six green marbles. If a bag has 30 orange marbles, how many green marbles does it contain?"
We can set up a proportion to find the number of green marbles. Since there are five orange marbles for every six green marbles, we have the ratio 5:6. If there are 30 orange marbles, we need to determine the equivalent ratio when the first number is 30. The ratio will increase by the same factor for both orange and green marbles.
Let's denote the number of green marbles as 'G'. We set up the proportion as follows:
- 5 orange marbles / 6 green marbles = 30 orange marbles / G green marbles
- 5/6 ratio = 30/G ratio
Solving for 'G':
- 5 * G = 6 * 30
- G = (6 * 30) / 5
- G = 180 / 5
- G = 36
Thus, the bag would contain 36 green marbles.