Matematika

Coin Counter

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What is Coin Counter?

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A coin counter calculates the total value of coins by denomination. Enter the number of each coin type and the calculator returns the total value.

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Képlet

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f(x)Total = Σ (coin denomination × quantity); Rolls vary by currency and denomination

Variable Legend

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Szimbólum	Név	Egység	Leírás
D	Coin denomination	currency	—
Q	Quantity of coins	—	—
Total	Total value	currency	—

How to Coin Counter

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1Total = Σ (coin value × count)
2Works for any currency denomination set
3Coin rolls: UK standard rolls are 50×1p, 20×5p, 20×10p, 10×20p, 10×50p, 25×£1, 10×£2
4Useful for till reconciliation or coin jar counting

Worked Examples

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Example 1

Given:12×50p, 8×20p, 15×10p, 22×5p

Eredmény:£6.00 + £1.60 + £1.50 + £1.10 = £10.20

Real-World Applications

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Arcade machine servicing

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Laundromat revenue counting

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Parking meter collection

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Charity donation processing

UK Coin Values

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Coin	Value	Standard roll count
1p	£0.01	50 coins = £0.50
2p	£0.02	25 coins = £0.50
5p	£0.05	20 coins = £1.00
10p	£0.10	20 coins = £2.00
50p	£0.50	10 coins = £5.00
£1	£1.00	25 coins = £25
£2	£2.00	10 coins = £20

Frequently Asked Questions

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What's the difference between coin counter and bill counter?

Coin counters count small denominations. Bill counters handle notes. Coin counting is more tedious (more pieces).

How do coin rolls work?

Standard rolls: 1p/2p (50), 5p/10p (50), 20p/50p (25), £1/£2 (20). Banks bundle and provide paper rolls.

Why count coins separately from notes?

Different storage, security procedures, and verification methods. Easier to audit and track.

References

›UK coins — Royal Mint

Mathematically verified

Reviewed October 2026

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