SOLUTION: If you have $1.15 in dimes, nickels, and quarters, someone asked you for change of dollar and you could not give them exact change, what are possible combinations of each coin?

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Question 1117033: If you have $1.15 in dimes, nickels, and quarters, someone asked you for change of dollar and you could not give them exact change, what are possible combinations of each coin?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Not a math problem.
Answer by ikleyn(52814)   (Show Source): You can put this solution on YOUR website!
.
One possible combination is  (3 quarters, 4 dimes and 0 nickels).


The other possible combination is  (1 quarter, 9 dimes and 0 nickels).


And there are no other combinations

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It is a Math problem (a kind of entertainment problems).

It can be solved/proved formally by finding all possible combinations as the solutions of a Diophantine equation.

It can be solved logically by noticing that the necessary and sufficient condition for the solution is the absence of nickels in the combinations.




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