The problem is as follows:
Two hunters make a stop in the forest to eat their breads. One of them has 5 breads and the other has 3 breads. Suddenly, another hunter appears, who has no bread at all. In a gesture of friendship they decide to share all their breads equally. When they finish, the guest hunter gives them 8 bullets to be distributed proportionally. How many bullets corresponds to each one?
The choices in my book are:
- 5 and 3 bullets
- 6 and 2 bullets
- 4 and 4 bullets
- 7 and 1 bullets
I found this problem in my Reason and Logic book from 2000's and from the topic presented it seems to be an adapted version from a reprinted edition of Martin Gardner's 70's book on Puzzle Carnival.
What I attempted to do in order to solve this problem was to use proportions:
hunter 1: $5k$
hunter 2: $3k$
This lets k be used to determine how to proportionately share ammunition.
Adding these and equating to the bullets yields:
and the number of bullets shared between them will be 5 and 3. But my book states the right answer is the fourth option. I wonder why this is. Did I interpret the problem wrong, or forget to read between the lines?
Can someone help me with this? Please give answers that are as detailed as possible and include a step by step solution to help me understand.