Question 1121179
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If a solution using formal algebra is not required, it can be good mental exercise solving this by logical analysis and mental arithmetic.<br>
(1) Take away the one "extra" 25 cent coin; that leaves a total of 4.40, with the number of quarters now exactly twice the number of nickels.<br>
(2) Since the number of quarters is now twice the number of nickels, group the coins in groups each containing two quarters and one nickel.  The value of each group will be 0.55.<br>
(3) The number of groups of those coins required to make the total of 4.40 is 4.40/0.55 = 8.  So all together in the groups there are 16 quarters and 8 nickels.<br>
(4) Now add back in the other quarter, to get the final answer of 17 quarters and 8 nickels.