The bank must have at least 17 nickels on hand.
Given data;
A bank has three more dimes than nickels and twice as many nickels as quarters. if the value of the coins exceeds $5.
Let x be the number of nickels;
⇒ 25(x/2) + 10(x+3) + 5x = 500 cents
⇒ 25x + 20(x+3) +10x = 1000
⇒ 25x + 20x + 60 + 10x = 1000
⇒ 55x = 940
⇒ x = 17
Hence, the minimum of nickels in the bank is 17.
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