# GET 10 POINTS EASILY IF YOU ANSWER THIS SIMPLE BUT CHALLENGING COUNTER FEIT COIN PROBLEM!!!?

You have 12 identicle looking coins but one is actually counterfeit. The coin that is counterfeit is either HEAVIER or LIGHTER than the other 11 coins that all weigh the same amount. Your cahllenge is : Using the balance scale just THREE times, you must identify the coin that is counterfeit and wether it is heavier or lighter than the other 11 coins

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That’s tough, but my guess is…..

1. put 6 coins on each half of the scale, and see which side is heavier.

2. Take that heavier side and divide the coins, and put 3 coins on each side of the scale. If one side is heavier, divide it again, if both sides r equal, then none of the 6 coins r counterfiet.

3. Out of the 3 remaining coins, balance any 2, if one is heavier, then u got ur coin. If both weigh the same, then the third coin u didn’t put on the scale must be that counterfeit.

PS: its a GUESS, idk if this is right, but sounds logical.

1) Put coins 1-4 on the right, 5-8 on the left, and leave 9-12 off.

* IF 1) BALANCES: 1-8 are good.

o 2) Put coins 1-3 on the right, 9-11 on the left.

o IF 2) BALANCES: Coin 12 is bad.

+ 3) Weigh 12 against 1 to see whether 12 is light or heavy. Done!

o IF 2) GOES LEFT SIDE DOWN: The bad coin - 9, 10, or 11 - is heavy.

+ 3) Put 9 on the right, 10 on the left.

# IF 3) BALANCES: Coin 11 is bad (heavy).

# IF 3) DOESN’T BALANCE: The heavier coin - 9 or 10 - is bad.

* IF 1) GOES LEFT SIDE DOWN: 9-12 are good.

o 2) Put coins 1, 5, and 6 on the right; 2, 7, and 8 on the left.

+ IF 2) BALANCES: Coin 3 or 4 is bad (light).

# 3) Put 3 on the left, 4 on the right. The lighter coin - 3 or 4 - is bad.

+ IF 2) GOES LEFT SIDE DOWN: EITHER 1 is light OR 7 or 8 is heavy.

# 3) Put 7 on the left, 8 on the right.

* IF 3) BALANCES: Coin 1 is bad (light).

* IF 3) DOESN’T BALANCE: The heavier coin - 7 or 8 - is bad.

+ IF 2) GOES RIGHT SIDE DOWN: follow similar procedure with 2, 5, and 6.

* IF 1) GOES RIGHT SIDE DOWN: follow the same procedure, reversing light & heavy.

weigh 4 coins, weigh 4 coins, weigh 4 coins.

The 2 that have the same weight are not conterfiet, the one that has a different weight is the counterfit.

10points please.

lighter

1) Put coins 1-4 on the right, 5-8 on the left, and leave 9-12 off.

* IF 1) BALANCES: 1-8 are good.

o 2) Put coins 1-3 on the right, 9-11 on the left.

o IF 2) BALANCES: Coin 12 is bad.

+ 3) Weigh 12 against 1 to see whether 12 is light or heavy. Done!

o IF 2) GOES LEFT SIDE DOWN: The bad coin - 9, 10, or 11 - is heavy.

+ 3) Put 9 on the right, 10 on the left.

# IF 3) BALANCES: Coin 11 is bad (heavy).

# IF 3) DOESN’T BALANCE: The heavier coin - 9 or 10 - is bad.

* IF 1) GOES LEFT SIDE DOWN: 9-12 are good.

o 2) Put coins 1, 5, and 6 on the right; 2, 7, and 8 on the left.

+ IF 2) BALANCES: Coin 3 or 4 is bad (light).

# 3) Put 3 on the left, 4 on the right. The lighter coin - 3 or 4 - is bad.

+ IF 2) GOES LEFT SIDE DOWN: EITHER 1 is light OR 7 or 8 is heavy.

# 3) Put 7 on the left, 8 on the right.

* IF 3) BALANCES: Coin 1 is bad (light).

* IF 3) DOESN’T BALANCE: The heavier coin - 7 or 8 - is bad.

+ IF 2) GOES RIGHT SIDE DOWN: follow similar procedure with 2, 5, and 6.

* IF 1) GOES RIGHT SIDE DOWN: follow the same procedure, reversing light & heavy.

Ok divide 12 coins into 4 coin groups.1st weighing:

Best result 8 good coins 4 unknown (easy)

minumin result 4 good, 4 light, 4 heavy coins

2nd weighting 2 heavy and 1 light vs 2 heavy and 1 light

result 1:if equal one of the light coins not weighted is counterfeit (easy)

result 2: one of the2 heavy coin from the heavy side is bad or the light coin from the light side is bad.

3rd weighting the 2 heavy coins.

result 1 if equal light coin not weighted is bad

result 2 if unequal heavier of the two coins is bad

me like 10 points hehahehahehahwhahyfGUwFDAESYFVDUYGSUFCDUVCfauoevFUveDFVOUVSDFUYAVDFODFGD

put six on each side, heavier side stays. divide the heavier side into 3 groups of 2. wieght 2 grops, if one side is heavier devide the 2 coins and one will be counterfit, if they are even wight the last grp, 2 coins, aginst each other and you will get your anserw!!

http://sites.google.com/site/niccolef/Home/assignments/coin-problem

In three weighings (X, Y, and Z) determine which of 12 coins (A through L) is of different weight. The "-" represents the center of a balance or scale. When coin I is used in weighing Y2 and Z3, it could be I, J, K, or L.

1. Weighing X, ABCD — EFGH set aside I, J, K, and L

12. X balanced, weighing Y1, AI — JK set aside L

12a. X balanced, Y1 balanced, the odd coin is L and weight is determined by weighing L against any other coin

12a. X balanced, Y1 tilted, the odd coin is I, J, or K

12a3. Weighing Z1, J — K set aside I

12a3a. Z1 balanced, the odd coin is I and weight is determined by Y1

12a3b. Z1 tilted opposite Y1, the odd coin is J and weight is determined by Y1 or Z1

12a3c. Z1 tilted same as Y1, the odd coin is K and weight is determined by Y1 or Z1

12b. X tilted, weighing Y2, ABG — CEI set aside D, F, and H

12ba. X tilted, Y2 balanced, the odd coin is D, F, or H

12ba3. Weighing Z2, F — H set aside D

12ba3a. Z2 balanced, the odd coin is D and weight is determined by X

12ba3b. Z2 tilted opposite X, the odd coin is F and weight is determined by X or Z2

12ba3c. Z2 tilted same as X, the odd coin is H and weight is determined by X or Z2

12bb. X tilted, Y2 tilted opposite as X, the odd coin is C or G

12bb3. Weighing Z3, C — I set aside G

12bb3a. Z3 balanced, the odd coin is G and weight is determined by X or Y2

12bb3b. Z3 tilted, the odd coin is C and weight is determined by X, Y2, or Z3

12bc. X tilted, Y2 tilted same tilt as X, the odd coin is A, B, or E

12bc3. Weighing Z4, A — B set aside E

12bc3a. Z4 balanced, the odd coin is E and weight is determined by X or Y2

12bc3b. Z4 tilted opposite X and Y2, the odd coin is B and weight is determined by X, Y2, or Z4

12bc3c. Z4 tilted same as X and Y2, the odd coin is A and weight is determined by X, Y2, or Z4