Question

a bank contains twice as many nickles as quarters and also three more dimes than nickels. if the coins are worth more than $5, what is the minium of nickles in the bank

Answer 1

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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