The cost of one shirt and two T-shirts is $82. The cost for 4 such shirts, 8 such T-shirts, and 6 similar dresses is $796. What is the cost of 1 dress?
Let's assume the cost of one shirt is S dollars and the cost of one T-shirt is T dollars.
We know that the cost of one shirt and two T-shirts is $82, so we can write this as an equation: S + 2T = 82. [Equation 1].
Similarly, we know that the cost for 4 shirts, 8 T-shirts, and 6 dresses is $796, so we can write this as an equation: 4S + 8T + 6D = 796. [Equation 2].
Multiplying Equation 1 by 4, we get 4S + 8T = 328.
Subtracting Equation 2 from this result, we get (4S + 8T) - (4S + 8T + 6D) = 328 - 796.
This simplifies to -6D = -468.
Dividing both sides of the equation by -6, we find that D = 78.
Therefore, the cost of one dress is $78. Answer: \boxed{78}.