Funny Results: Most efficient coin values.

[the-pi-guy]

The most efficient coin values are:
Quarter: $0.38 or $0.37
Dime:   $0.11
Nickel:  $0.03
Penny: $0.01

Using these coin values, we can make every possible amount of change with only 410 coins. 
By comparison the current US system requires 470 coins. 

[Legend]

I think the most interesting thing is how good our current setup is. With all things considered, 470 is pretty close to 410.

[the-pi-guy]

I think the most interesting thing is how good our current setup is. With all things considered, 470 is pretty close to 410.

Our aesthetically pleasing set up does surprisingly well in efficiency. 

This was a fun little math thing. 

[lumyonglazy]

Is a very good post up here. I go to a lot of great content.

[Dr. Pezus]

Is a very good post up here. I go to a lot of great content.

nice

[Max King of the Wild]

Meh, I bet the current system is more efficient when you consider everything. Example, hardly anyone has exact change so over paying is generally needed. If i need 9 cents I'd rather pay a dime and get a penny back than two

[the-pi-guy]

Meh, I bet the current system is more efficient when you consider everything. Example, hardly anyone has exact change so over paying is generally needed. If i need 9 cents I'd rather pay a dime and get a penny back than two

It's all relative to how much it is.  For example, if I need to give you 9 cents, I can give you 3 nickels instead of 4 pennies and a nickel.  Giving one counter-example doesn't negate the fact that this system is more efficient.  Look at 14 cents, that's way better. 
It ends up looking like this for this new system. 
0.01 = same
0.02 = same
0.03 = better
0.04 = better
0.05 = worse
0.06 = same
0.07 = same
0.08 = better
0.09 = better
0.10 = worse
0.11 = better
0.12 = better
0.13 = better (3 coins vs 4)
0.14 = better (2 coins vs 5)
0.15 = worse

It's mostly better, it's a trade off. 

[7H3]

well if we had 99 coins you could make all change with just 99 as opposed to 410 or 470

[the-pi-guy]

well if we had 99 coins you could make all change with just 99 as opposed to 410 or 470

Well if you want to be like that, this system could make every change with 10 coins. 
Our current system would require 11 coins. 

[7H3]

Well if you want to be like that, this system could make every change with 10 coins. 
Our current system would require 11 coins. 

how would you do it with 10 coins?

[the-pi-guy]

how would you do it with 10 coins?

Because the most you need is one less than to get to the next value. 
1.00 = 2 quarters (0.76)
0.24 = 2 dimes (0.22)
0.02 = 2 pennies. 

So therefore the most pennies you'll ever need is 2.  The most nickels you'll need is 3.  The most dimes you'll need to make is 3, the most quarters you'll need is 2. 
Made a program to output what this would look like.  You can see what the greatest number is in each column. 

Spoiler for Quart-38; Nick - 3; dime-11, penny-1:

<br />Quarters: 2&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 5<br />Quarters: 2&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 5<br />Quarters: 2&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 4<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 3&nbsp; &nbsp;Penny: 1&nbsp; Total: 7<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 3&nbsp; &nbsp;Penny: 0&nbsp; Total: 6<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 2&nbsp; Total: 7<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 1&nbsp; Total: 6<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 0&nbsp; Total: 5<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 2&nbsp; Total: 6<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 1&nbsp; Total: 5<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 0&nbsp; Total: 4<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 5<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 4<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 3<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 3&nbsp; &nbsp;Penny: 1&nbsp; Total: 6<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 3&nbsp; &nbsp;Penny: 0&nbsp; Total: 5<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 2&nbsp; Total: 6<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 1&nbsp; Total: 5<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 0&nbsp; Total: 4<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 2&nbsp; Total: 5<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 1&nbsp; Total: 4<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 0&nbsp; Total: 3<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 4<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 3<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 2<br />Quarters: 1&nbsp; &nbsp;Dimes: 3&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 1&nbsp; Total: 6<br />Quarters: 1&nbsp; &nbsp;Dimes: 3&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 0&nbsp; Total: 5<br />Quarters: 1&nbsp; &nbsp;Dimes: 3&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 6<br />Quarters: 1&nbsp; &nbsp;Dimes: 3&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 5<br />Quarters: 1&nbsp; &nbsp;Dimes: 3&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 4<br />Quarters: 1&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 3&nbsp; &nbsp;Penny: 1&nbsp; Total: 7<br />Quarters: 1&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 3&nbsp; &nbsp;Penny: 0&nbsp; Total: 6<br />Quarters: 1&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 2&nbsp; Total: 7<br />Quarters: 1&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 1&nbsp; Total: 6<br />Quarters: 1&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 0&nbsp; Total: 5<br />Quarters: 1&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 2&nbsp; Total: 6<br />Quarters: 1&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 1&nbsp; Total: 5<br />Quarters: 1&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 0&nbsp; Total: 4<br />Quarters: 1&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 5<br />Quarters: 1&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 4<br />Quarters: 1&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 3<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 3&nbsp; &nbsp;Penny: 1&nbsp; Total: 6<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 3&nbsp; &nbsp;Penny: 0&nbsp; Total: 5<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 2&nbsp; Total: 6<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 1&nbsp; Total: 5<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 0&nbsp; Total: 4<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 2&nbsp; Total: 5<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 1&nbsp; Total: 4<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 0&nbsp; Total: 3<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 4<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 3<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 2<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 3&nbsp; &nbsp;Penny: 1&nbsp; Total: 5<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 3&nbsp; &nbsp;Penny: 0&nbsp; Total: 4<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 2&nbsp; Total: 5<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 1&nbsp; Total: 4<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 0&nbsp; Total: 3<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 2&nbsp; Total: 4<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 1&nbsp; Total: 3<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 0&nbsp; Total: 2<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 3<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 2<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 1<br />Quarters: 0&nbsp; &nbsp;Dimes: 3&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 1&nbsp; Total: 5<br />Quarters: 0&nbsp; &nbsp;Dimes: 3&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 0&nbsp; Total: 4<br />Quarters: 0&nbsp; &nbsp;Dimes: 3&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 5<br />Quarters: 0&nbsp; &nbsp;Dimes: 3&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 4<br />Quarters: 0&nbsp; &nbsp;Dimes: 3&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 3<br />Quarters: 0&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 3&nbsp; &nbsp;Penny: 1&nbsp; Total: 6<br />Quarters: 0&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 3&nbsp; &nbsp;Penny: 0&nbsp; Total: 5<br />Quarters: 0&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 2&nbsp; Total: 6<br />Quarters: 0&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 1&nbsp; Total: 5<br />Quarters: 0&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 0&nbsp; Total: 4<br />Quarters: 0&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 2&nbsp; Total: 5<br />Quarters: 0&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 1&nbsp; Total: 4<br />Quarters: 0&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 0&nbsp; Total: 3<br />Quarters: 0&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 4<br />Quarters: 0&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 3<br />Quarters: 0&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 2<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 3&nbsp; &nbsp;Penny: 1&nbsp; Total: 5<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 3&nbsp; &nbsp;Penny: 0&nbsp; Total: 4<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 2&nbsp; Total: 5<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 1&nbsp; Total: 4<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 0&nbsp; Total: 3<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 2&nbsp; Total: 4<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 1&nbsp; Total: 3<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 0&nbsp; Total: 2<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 3<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 2<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 1<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 3&nbsp; &nbsp;Penny: 1&nbsp; Total: 4<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 3&nbsp; &nbsp;Penny: 0&nbsp; Total: 3<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 2&nbsp; Total: 4<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 1&nbsp; Total: 3<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 2&nbsp; &nbsp;Penny: 0&nbsp; Total: 2<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 2&nbsp; Total: 3<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 1&nbsp; Total: 2<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 0&nbsp; Total: 1<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 2<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 1<br />

I made a mistake probably with the nickel.  It is 10 coins here too. 

Spoiler for Standard system:

<br /><br />Quarters: 3&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 4&nbsp; Total: 9<br />Quarters: 3&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 4&nbsp; Total: 9<br />Quarters: 3&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 3&nbsp; Total: 8<br />Quarters: 3&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 7<br />Quarters: 3&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 6<br />Quarters: 3&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 5<br />Quarters: 3&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 4&nbsp; Total: 9<br />Quarters: 3&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 3&nbsp; Total: 8<br />Quarters: 3&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 2&nbsp; Total: 7<br />Quarters: 3&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 1&nbsp; Total: 6<br />Quarters: 3&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 0&nbsp; Total: 5<br />Quarters: 3&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 4&nbsp; Total: 8<br />Quarters: 3&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 3&nbsp; Total: 7<br />Quarters: 3&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 6<br />Quarters: 3&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 5<br />Quarters: 3&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 4<br />Quarters: 3&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 4&nbsp; Total: 8<br />Quarters: 3&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 3&nbsp; Total: 7<br />Quarters: 3&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 2&nbsp; Total: 6<br />Quarters: 3&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 1&nbsp; Total: 5<br />Quarters: 3&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 0&nbsp; Total: 4<br />Quarters: 3&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 4&nbsp; Total: 7<br />Quarters: 3&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 3&nbsp; Total: 6<br />Quarters: 3&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 5<br />Quarters: 3&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 4<br />Quarters: 3&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 3<br />Quarters: 2&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 4&nbsp; Total: 8<br />Quarters: 2&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 3&nbsp; Total: 7<br />Quarters: 2&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 6<br />Quarters: 2&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 5<br />Quarters: 2&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 4<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 4&nbsp; Total: 8<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 3&nbsp; Total: 7<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 2&nbsp; Total: 6<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 1&nbsp; Total: 5<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 0&nbsp; Total: 4<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 4&nbsp; Total: 7<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 3&nbsp; Total: 6<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 5<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 4<br />Quarters: 2&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 3<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 4&nbsp; Total: 7<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 3&nbsp; Total: 6<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 2&nbsp; Total: 5<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 1&nbsp; Total: 4<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 0&nbsp; Total: 3<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 4&nbsp; Total: 6<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 3&nbsp; Total: 5<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 4<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 3<br />Quarters: 2&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 2<br />Quarters: 1&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 4&nbsp; Total: 7<br />Quarters: 1&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 3&nbsp; Total: 6<br />Quarters: 1&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 5<br />Quarters: 1&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 4<br />Quarters: 1&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 3<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 4&nbsp; Total: 7<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 3&nbsp; Total: 6<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 2&nbsp; Total: 5<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 1&nbsp; Total: 4<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 0&nbsp; Total: 3<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 4&nbsp; Total: 6<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 3&nbsp; Total: 5<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 4<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 3<br />Quarters: 1&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 2<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 4&nbsp; Total: 6<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 3&nbsp; Total: 5<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 2&nbsp; Total: 4<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 1&nbsp; Total: 3<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 0&nbsp; Total: 2<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 4&nbsp; Total: 5<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 3&nbsp; Total: 4<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 3<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 2<br />Quarters: 1&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 1<br />Quarters: 0&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 4&nbsp; Total: 6<br />Quarters: 0&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 3&nbsp; Total: 5<br />Quarters: 0&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 4<br />Quarters: 0&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 3<br />Quarters: 0&nbsp; &nbsp;Dimes: 2&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 2<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 4&nbsp; Total: 6<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 3&nbsp; Total: 5<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 2&nbsp; Total: 4<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 1&nbsp; Total: 3<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 0&nbsp; Total: 2<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 4&nbsp; Total: 5<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 3&nbsp; Total: 4<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 3<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 2<br />Quarters: 0&nbsp; &nbsp;Dimes: 1&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 0&nbsp; Total: 1<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 4&nbsp; Total: 5<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 3&nbsp; Total: 4<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 2&nbsp; Total: 3<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 1&nbsp; Total: 2<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 1&nbsp; &nbsp;Penny: 0&nbsp; Total: 1<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 4&nbsp; Total: 4<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 3&nbsp; Total: 3<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 2&nbsp; Total: 2<br />Quarters: 0&nbsp; &nbsp;Dimes: 0&nbsp; &nbsp;Nickel: 0&nbsp; &nbsp;Penny: 1&nbsp; Total: 1<br />

[Legend]

This sounds like we should have challange threads like this. Next up we can design optimal road intersections.

[7H3]

This sounds like we should have challange threads like this. Next up we can design optimal road intersections.

my idea is "everyone outta my way!!!"