Coin Word Problem Calculator
Find the counts of two coin types from their total count and value; enter both denominations yourself.
Formula
Count A = (total − count × value B)/(value A − value B); count B = count − count A
Count of coin A ≈ (6) · Count of coin B ≈ (11)-(6)
How to use
- Choose one whole-number money unit, such as cents.
- Enter the total coin count, total value and two distinct denominations.
- Read the nonnegative whole-number counts.
Examples
- 11 coins worth 175 cents, with denominations 25 and 5, give 6 and 5 coins.
Frequently asked questions
Which currency can I use?
Any currency, with every value in the same smallest unit. No coin table or exchange rate is assumed.
What if no whole-number answer exists?
The input is rejected; fractional or negative coin counts are not rounded into an answer.
Can one coin type have a count of zero?
Yes. The two denominations must still differ.
Sources
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