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What 13 coins make up 35 cents?

Updated: 9/19/2023
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13y ago

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Two dimes, a nickel, and 10 pennies.

A good question is how do you figure that out. I started out eliminating the coins that could not be included. If one coin was a quarter, the other 12 had to add up to 10 cents. That can't happen so there can't be any quarters in the answer. Then I knew that the number of pennies had to be 0, 5, or 10 since there is no way for the remaining dimes and nickels to to add up to 35 cents if there were another number of pennies.

If you had 5 pennies, then 8 coins would have to add up to 30 cents. Even using all nickels would only use up 6 coins so there had to be more pennies. I then went to 10 pennies and that left 3 coins to get to 25 cents. That's where I came up with 2 dimes, 1 nickel, and 10 pennies.

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13y ago
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