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sledding

Puzzle

Here are the coins:

dollar coin = 1.00
fifty-cent piece = .50
quarter = .25
dime = .10
nickel = .05
penny = .01

The question is, from one to a hundred, how many different numbers of coins can add up to one dollar?

I’ve solved from one to twenty; you can see my answers for 5-20 in the comments. For many numbers, there’ll be more than one solution. For other numbers, there’ll be no solution. For example, 99 coins can’t equal one dollar, because you’d need a two-cent coin.

The low number would be one: a one-dollar coin. The high number would be 100: 100 pennies. But, what are all the combinations between the two extremes?

What is the highest number of coins (besides 100) that can add up to a dollar? (Easy pea-sy!) How early can you incorporate pennies?

Here are 1-4. Answers for 5-20 in the comments.

1 – one silver dollar
2 – two fifty-cent pieces
3 – one fifty-cent piece and two quarters
4- four quarters
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Comments

Re: This is getting boring, but

from 21 on you have to include pennies.
sledding

August 2019

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