Victoria paid $977 for a set containing a TV and a TV stand. The salesperson informed her that separately, the TV was worth 1 1/2 times as much as the TV stand. How much would each item cost separately?
Let X be the cost of the TV stand.
The TV is worth X * 1 1/2.
The set is worth X + X * 1 1/2 = $977.
Combining like terms, we get X + 1.5X = $977
Combining like terms, we get 2.5X = $977
Dividing both sides by 2.5, we get X = $390.80
The TV is worth X * 1.5 = $390.80 * 1.5 = $586.20. Answer: \boxed{586.20}.