Now really, if you are neurotic enough to need to know how many of each type of coin you have in your jar - and you only have 34 coins - just take the bloomin' things out and count them!
Oh, I know, this is not about coins necessarily, it's just a way to think about a certain type of math problem. (Forget that there's a whole category of word problems called 'coin problems.') I maintain that it's a ridiculous kind of math problem that will likely never do me any good.
I've realized that half of my problem in math is that I sit there and think to myself "this is so STUPID!" or "I am ne-ver going to use this!" and that distraction (never mind how TRUE it is) makes math even harder. But it's true! (You can see that I really do get stuck here.)