Everyone has coins they want to get rid of. I randomly thought of an easy way to carry change and always have enough change for a purchase. For the sake of this article, I consider change to be less than $1 of coins. To be able to make any change combination, you need to carry $0.99 of change through 10 coins:
These amounts will add up to $0.99 of coins. Given any “change” value, you can come up with that amount with these coins.
$0.55 = 2 q + 1 n
Left over = 1 q + 1 d + 1 n + 4 p
$0.79 = 3 q + 4 p
Left over = 1 d + 2 n
No matter what change value you need, you can come up with it. So, if you want to start using up your coins, just carry these 10 coins with you. Say you buy breakfast every morning and pay with cash. You will always be able to give exact change for the change part of your order, even if you buy different stuff each day. This method obviously only works per transaction, meaning once you use some coins, you can’t guarantee you will have exact change for another transaction.
You no longer need to carry a handfull of change when you want to get rid of it — just carry 10.
I tried to come up with an even smaller amount of change but I don’t think one exists. If you figure one out, let me know.
UPDATE: It seems as though my intentions for this are being misunderstood. This is just a simple, but usable way to get rid of some change. If you prefer to just keep change in a jar (as I do), then fine. All I am saying here is if you are going to go buy something and you have change you want to get rid of, you can do this. You can also just grab a handful of change — that’s fine, your decision. You can also just never use change and always break bills. Fine. I am in college, thus…I don’t want to waste bills of a few cents, so if I know I’m going to buy something with cash, I can bring change.