Problem of the Week

Email us your solution (or partial solution) every week by Sunday 11:59pm for 1 AMC point!

POTW #2 (Week of 9/16)

There are 10 hungry lions and 1 sheep in a cage. The lions will only eat sheep or sleeping lions. If a lion eats anything, it falls asleep from a food coma. The lions are perfectly rational and their goal is to eat as much as they can, but if they would die as a result of eating, they will not eat. What will happen in this situation, i.e. how many sheep and lions will survive after all eating has occurred?

POTW #1 (Week of 9/9)

Make 24 using +, -, *, /, () and the following numbers exactly once:

1) 1, 3, 4, 6

2) 3, 3, 7, 7

3) 3, 3, 8, 8

1) 1, 5, 5, 5