I feel like an idiot asking here, but what the hell. How do I fit 24, 3 x 5 tiles in to a 17 x 22 tile setting, I know it can be done, but I do not know how to arrange them to work, any help would be appreciated, thanks!

 

It can't be done.

EDIT: or rather, it can, but you'll have a bunch of space left over.

 

Well, the most you should have over is 14 units ...

17 x 22 = 374

3 x 5 = 15 x 24 = 360

So an optimal layout should only have 14 leftover spaces (anymore blocks would overflow).

I came up with this:

 

And there ya go.

 

Math hurts my poor, dumb little head  

 

Are you actually packing things in a box like this? if so, you could move the vertical ones (5-8, 17-20) to the very top and bottom of the layout and then your free space is arranged in a nice little 2x7 area in the middle for stuffing something else into.  

 

Jux, you are a GOD! No, this was a real math question out of school, I was messing around with it all day yesterday, asking friends, family, no one could figure it out. Thanks alot!