Hi, say I have a bunch of 5c, 10c, 20c and 50c coins and I'm

this is not a troll question btw, i said VISUALLY, like a graph. if i just plot 0.5x, 0.2x, 0.1x and 0.05x or something like that it doesnt account for all possible combinations, for example

um...0.5w+0.2x+0.1y+0.05z...which..how do you represent on a graph. Or there's something erroneous about this thinking

File: Screenshot_2017-09-14-23-30-27.png (202KB, 1080x1920px) Image search: [Google]

202KB, 1080x1920px

>>9169143
Lets say you have just $0.05 and $0.25 coins.

You want all solutions to the equation

x*0.05+y*0.25 = 1

where x and y are non-negative integers.

That equation simplifies down to
y=4-0.2x
As you can see by the graph, the non-negative integer solutions are

(0,4),(5,3),(10,2), (15,1), (20,0)


Lets say you want to work with 4 different types of coins. That's more difficult because now instead of working with a 2D solution set(the plane), you are working with a 4D solution set which is impossible to properly visualize.

However, it's easy to model:
w*0.05 + 0.1*x + 0.2*y + 0.5*z = 1

All solutions to this equation that uses non-negative integers are valid (since you can'thage a negative or partial coin)