<PRE><B>Question 152984</B>
Let x be the number of dimes, then the number of nickels is x - 3, the number of quarters is x + 3.
Their total value is 10x + 5(x - 3) + 25(x + 3)
As the total value is $4.60(or 460 cents), we can set up an equation:
10x + 5(x - 3) + 25(x + 3) = 460
Solving for x, we have
10x + 5x - 15 + 25x + 75 = 460
40x = 400
x = 10
So the number of dimes is 10.
The number of nickels is x - 3 = 10 - 3 = 7.
The number of quarters is x + 3 = 10 + 3 = 13.

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