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At the end of the day, the change machine at a laundrette contained at least $6.30 and at most $17.30 in nickels, dimes, and

  

At the end of the day, the change machine at a laundrette contained at least $6.30 and at most $17.30 in nickels, dimes, and quarters. There were 2 fewer dimes than three times the number of nickels and 4 more quarters than three times the number of nickels. What was the least possible number and the greatest possible number of nickels? The least possible number of nickels was

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