you have twice as many dimes as you do nickels and two more quarters than nickels that equals $2.50

X Nickels.

zx Dimes.
(x+2) Qtrs.

5x + 10*2x + 25(x+2) = 250 Cents.
5x + 20x +25x + 50 = 250.
50x = 250 - 50 = 200.

X = 4 Nickels.
2X = 2*4 = 8 Dimes.
x+2 = 4+2 = 6 Qtrs.