Associated Topics || Dr. Math Home || Search Dr. Math

### Which is More?

```Date: 05/21/2002 at 20:02:55
From: bridget
Subject: money

You are offered a choice of nickels stacked on top of each other to
equal your height, or quarters placed side by side to equal your
height. Which would you choose and why?

I tried several different ways to get this answer but I'm not good
with numbers and I can't figure out the anwser.  Please help me.

Thank you,
Bridget
```

```
Date: 05/21/2002 at 20:38:24
From: Doctor Ian
Subject: Re: money

Hi Bridget,

Let's pretend for a moment that your height is exactly the same
as the diameter of a quarter.  Now the problem is easier, isn't
it?

You just have to stand a quarter on its edge, stack some nickels
up until they reach the top, and see whether the nickels add up
to more than 25 cents.

If they add up to more than 25 cents, you would choose the
nickels. Otherwise, you'd choose the quarter.   Does that make
sense?

Now, suppose you're TWO quarters high, instead of just one.  Or
three quarters high.  Or five, or six, or seven, or any number of
quarters high.  Would there be any reason to make a different
choice?

- Doctor Ian, The Math Forum
http://mathforum.org/dr.math/
```
Associated Topics:
Middle School Measurement
Middle School Ratio and Proportion

Search the Dr. Math Library:

 Find items containing (put spaces between keywords):   Click only once for faster results: [ Choose "whole words" when searching for a word like age.] all keywords, in any order at least one, that exact phrase parts of words whole words

Submit your own question to Dr. Math
Math Forum Home || Math Library || Quick Reference || Math Forum Search