Puzzle A Puzzle B.

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Presentation transcript:

Puzzle A Puzzle B

How much does a fish weigh if it weighs 1 pound plus half its own weight? Answer: The fish weighs 2 pounds. Two halves make a whole, so if the total weight is the sum of 1 pound and half the total weight, the other half must also be 1.

There are 9 weights, and a set of scales. Eight of the weights are identical. One weight is very slightly heavier than the rest. How can you identify the heavier weight using the scales to weigh twice only? Answer: Put any 6 weights on the scales, 3 on each side. Your heavier weight is now in one of 3 groups of 3. If the scales balance, the heavier weight is in the group NOT on the scales. If not, it is in the heavier group. From the group you now know has the heaviest weight in, put one of the 3 weights on each side of the scales, and leave one off. If the scales balance, it’s the one off the scales. If they don’t balance, it’s the heavier one!