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Counting a coin jar means multiplying each denomination by its count and summing. The average value per coin is a useful sanity check — a jar dominated by coppers averages a few pence, while one with pound coins averages far more.
Coin total
total = sum of (count x denomination value)
Bags have fixed values per denomination, which lets the bank verify by weight rather than counting. Mixed bags are usually refused.
Supermarket coin machines commonly take 8-12%. Bagging and depositing at a bank is free but requires sorting.