Let's call the cost of the dryer "x".
We know from the problem that the washer costs $68 less than the dryer, so the cost of the washer would be "x - 68".
The problem also tells us that the combined cost of the washer and dryer is $782. So we can set up an equation:
x + (x - 68) = 782
Simplifying this equation, we get:
2x - 68 = 782
Adding 68 to both sides, we get:
2x = 850
Dividing both sides by 2, we get:
x = 425
So the dryer costs $425.