Raul says he has equal numbers of dimes and quarters and four times as many nickles as dimes. The value of his nickles and dimes is 50 cents more than the value of his quarters. How many of each kind of coin does he have?

X Dimes.

X Quarters.
4X Nickels.

5*4x + 10x = 25x + 50
30x = 25x+50
5x = 50
X = 10 Dimes.
X = 10 Quarters.
4X = 40 Nickels.