### Brain Teasers

# $1

What fifty (American) coins equal exactly one dollar?

### Answer

40 Pennies, 2 dimes, and 8 nickels.Hide Answer Show Answer

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## Comments

What about 45 pennies, 2 nickels, 2 dimes and a quarter?

That also works. In general, you can substitute a quarter and 23 pennies (24 coins, 48 cents) for 6 nickels and 18 pennies (also 24 coins and 48 cents), but you can only do that once to the initial solution.

The key to this problem is to recognize that the average value has to be 2 cents per coin, so you need to group enough pennies with each larger coin to keep the average of each group at 2 cents per coin.

The key to this problem is to recognize that the average value has to be 2 cents per coin, so you need to group enough pennies with each larger coin to keep the average of each group at 2 cents per coin.

THE US MINTED A 2CENT PIECE FOR SOME YEARS 1800'S

Information on US 2-cent coins: www.coinfacts.com/two_cents/two_cents_by_date.html

If this was the UK, it would be:

40 1p's, 2 10p's, 8 5p's (Â£1).

40 1p's, 2 10p's, 8 5p's (Â£1).

Wait! Here is the UK's more sensible option. 50 2p's .

good one!

2p coins sound like the way to go ^_^

My country (New Zealand) got rid of 2c coins in 1989-1990.

We are about to lose 5c coins also.

Then again, most transactions here are electronic.

My country (New Zealand) got rid of 2c coins in 1989-1990.

We are about to lose 5c coins also.

Then again, most transactions here are electronic.

that was fun!!

I agree with Rado, but don't mind that there isn't just one answer. I enjoyed thinking it out without it giving me a headache. Thanks for a good teaser!

E and Z are weid letters but when put togetherr they make ez and i dont know what ez means!! well ne way this one was easy

The easiest way to solve this is to make a permutation-hunting program.

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