Final answer:
To share 50 marbles between Max and John in a 2:3 ratio, divide the total marbles by the sum of the ratio parts (5), giving 10 marbles per part. Max receives 20 marbles (2 parts), and John receives 30 marbles (3 parts).
Step-by-step explanation:
To share 50 marbles between Max and John in the ratio of 2:3, we must first add up the parts of the ratio. The ratio 2:3 gives us 2 parts + 3 parts = 5 parts in total.
Next, to find how many marbles each part represents, we divide the total number of marbles by the number of parts in the ratio: 50 marbles ÷ 5 parts = 10 marbles per part.
Then, we distribute the marbles according to the ratio:
- For Max (2 parts): 2 parts × 10 marbles per part = 20 marbles.
- For John (3 parts): 3 parts × 10 marbles per part = 30 marbles.
Hence, Max will receive 20 marbles, and John will receive 30 marbles.