Answer
The server gets 145 dollars.
Work Step by Step
Let X represent the amount the busboy receives.
Three times the amount the busboy receives means 3X
The server gets 25 more than three times the amount the busboy receives means 25 + 3X
The bartender gets $50 more than the amount the busboy receives means 50 + X.
The total in tips to be shared is 275, so we can set up the following equation:
X + 25 + 3X + 50 + X = 275
5X + 75 = 275
Subtract 75 from both sides
5X = 200
Divide both sides by 5
X = 40
The server gets 25 + 3X, and X = 40, so the server gets 145.