Question 1166493
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Let x be the number of dimes.

Then the number of quarters is 3x.


Let y be the number of nickels.


Then we could write the total money equation in the form


    5y + 10x + 25*(3x) = 745  cents,  or

    5y + 85x           = 745,


which is the same as

    y + 17x = 149.

We know that x < y.


Make a table


    x, dimes    y, nickels = 149 - 17x


      1		132
      2		115
      3		98
      4		81
      5		64
      6		47
      7		30
      8		13


This table is the list of possible answers.


Remember that the number of possible quarters is 3x.
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Solved.