SOLUTION: A child’s bank contain nickels, dimes, and quarters. There are half as many dimes as there are quarters and half as many nickels as there are dimes. What is the smallest total va

Question 1145529: A child’s bank contain nickels, dimes, and quarters. There are half as many dimes as there are quarters and half as many nickels as there are dimes. What is the smallest total value of the coins in the bank?
Answer by ikleyn(52798) (Show Source): You can put this solution on YOUR website!
.


If x is the number of nickels.


Then the number of dimes is 2x, while the number of quarters is 2*((2x) = 4x.


The total in the bank is 5x + 10*(2x) + 25*(4x) = 5x + 20x + 100x cents.


The minimum total is at x = 1.


The smallest total value is then 125 cents.    ANSWER

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