Answer
The cost of the ring to the jeweler was 300.
Work Step by Step
Let X represent the cost of the ring to the jeweler.
Twice the cost of the ring to the jeweler means 2X.
50 less than twice the cost of the ring to the jeweler means 2X - 50.
The price of a diamond ring at 550.
So: 2X - 50 = 550
Add 50 to both sides
2X = 600
Divide both sides by 2
X = 300