Within the world of balance puzzles, the 12-coin problem is well-known (there’s also a nine-coin variant, and a horrendous 39-coin variant). There is in fact a generalized solution for such puzzles [PDF], though it involves serious math knowledge.
Is it possible to solve the counterfeit coin puzzle?
Can You Solve the Counterfeit Coin Puzzle? Mathematicians have long plagued humankind with a style of puzzle in which you must weigh a series of items on a balance scale to find one oddball item that weighs more or less than the others.
Can you make two piles of 10 coins?
You are blindfolded and 10 coins are place in front of you on table. You are allowed to touch the coins, but can’t tell which way up they are by feel. You are told that there are 5 coins head up, and 5 coins tails up but not which ones are which. Can you make two piles of coins each with the same number of heads up?
How can you tell the weight of a twelfth coin?
The twelfth is very slightly heavier or lighter. 3) The only available weighing method is the balance scale. It can only tell you if both sides are equal, or if one side is heavier than the other. 4) You may use the scale no more than three times. 5) You may write things on the coins with your marker, and this will not change their weight.
How to multiply and divide a puzzle picture?
Choose one or more divisors to practice. Place the puzzle piece on the missing number in the grid. Watch as the mystery picture appears. Apply properties of operations as strategies to multiply and divide. Fluently multiply and divide within 100. Know from memory all products of two one-digit numbers.
What are the rules for distribution of coins?
Rules of distribution are: The most senior pirate proposes a distribution of coins. All pirates vote on whether to accept the distribution. If the distribution is accepted, the coins are disbursed and the game ends. If not, the proposer is thrown and dies, and the next most senior pirate makes a new proposal to begin the system again.
How are the Pirates supposed to distribute gold coins?
There are 5 pirates, they must decide how to distribute 100 gold coins among them. The pirates have seniority levels, the senior-most is A, then B, then C, then D, and finally the junior-most is E. Rules of distribution are: The most senior pirate proposes a distribution of coins. All pirates vote on whether to accept the distribution.
