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### Ways to Make 50 cents

```
Date: 8/29/96 at 19:52:59
From: Richard M Crea
Subject: Ways to Make 50c

Dear Dr. Math,

How many ways can you make 50 cents? We came up with 50 ways. How
close are we?

Tina
```

```
Date: 8/30/96 at 16:15:43
From: Doctor Alain
Subject: Re: Ways to Make 50c

To solve this kind of problem, it is important to sort the different
ways you find properly. I live in Canada, where we have a 50 cent
coin. I'm not sure if you have one, but this is the way I would do it.

Part 1  How many ways can I make 50c using a single 50c coin (that's
easy).

Part 2  How many ways can I make 50c using no 50c coin (that's
harder).

Part 2.1 How many ways can I make 50c using no 50c coin and 2
quarters.

Part 2.2 How many ways can I make 50c using no 50c coin and 1 quarter.

Part 2.2.1 How many ways can I make 50c using no 50c coin and 1
quarter and 2 dimes.

Part 2.2.2 How many ways can I make 50c using no 50c coin and 1
quarter and a single dime.
...etc...

Part 2.2.3 How many ways can I make 50c using no 50c coin and no
quarter and no dime.
...etc...

Part 2.3 How many ways can I make 50c using no 50c coin and no
quarters.
...etc...

I also get 50 ways.

-Doctor Alain,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
Elementary Puzzles

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