Now, back in the day when I worked as a cashier in a supermarket, we had to do the same thing, so we would physically count the money — take out the bills and count them; add up the checks; and count the change. Being the perfectionist/stickler for accuracy that I was, I would generally count my drawer twice, just to make sure I got it right.
But do they do that nowadays? Hell, no! My Marie tells me that they WEIGH the money — bills and change — rather than count it. Now I don't know about you, but this seems guaranteed to lead to errors. Let me explain.
Back in 1982, the government went from making pennies out of 95% copper to making them out of copper-plated zinc (97.5% zinc, 2.5% copper). And of course, there is a weight difference — the older coins weighed 3.1 grams each, but the newer ones are lighter at 2.5 grams — so the weight difference between a roll of all-copper pennies and the newer copper-plated ones adds up to 30 grams ... or roughly ten or eleven pennies.
Same thing with quarters. Prior to 1964, quarters were made out of 90% silver and weighed 6.25 grams each. Then they started making them out of nickel-plated copper (25% nickel, 75% copper) in 1965, and these 'sandwich' coins are lighter, coming in at 5.67 grams each. Again, there could be a variance of up to 25 grams (or five coins) between a roll of pre-1965 quarters and the modern ones.
And this, of course, does not take into account the possibly of a Canadian coin or two — this is Wisconsin, after all, and that's not all that uncommon — or other foreign coin (and their weight differences vis-à-vis genuine US coinage) finding its way into the mix.
Putting it bluntly, while this process does eliminate the need for today's math-challenged youths to have to count above six, this sounds like a system almost certain to create error and inaccuracy.

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