You can put this solution on YOUR website! These kind of problems require that you deal both with the number of coins and their value. Knowing that there are 40 total coins allows us to write:
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Knowing that there are 10 cents in each dime, 5 cents in each nickel, and a total of 290 cents ($2.90) in value for the 40 coins, we can write:
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but since , we can substitute:
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Meaning that there are 22 nickels worth $1.10.
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To check your answer, note that there are dimes. And 18 dimes are worth, $1.80.