Serious Coin

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counting coins1

In 1912 Arthur Finnegan purchased an old house. While he was replacing some loose floorboards he was very excited to find an old sack of money buried under the floor. His excitement soon dissipated, however, when he realised the sack contained only coins. There were 100 coins in all (US currency), with a total worth of $5. The sack did not contain any nickels. What coins were in the sack, and how many of each were there?


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There were 60 pennies, 39 dimes, and one half dollar.

 

3 thoughts on “Serious Coin

    • Actually, a family of solutions:

      1 half-dollar + 39 dimes + 60 pennies
      1 half-dollar + 3 quarters + 31 dimes + 65 pennies
      1 half-dollar + 6 quarters + 23 dimes + 70 pennies
      1 half-dollar + 9 quarters + 15 dimes + 75 pennies
      1 half-dollar + 12 quarters + 7 dimes + 80 pennies

      4 half-dollars + 1 quarter + 20 dimes + 75 pennies
      4 half-dollars + 4 quarters + 12 dimes + 80 pennies
      4 half-dollars + 7 quarters + 4 dimes + 85 pennies

      7 half-dollars + 2 quarters + 1 dime + 90 pennies

      Any others?

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