Lake Snide High School surveyed its student population about if they prefer pizza or sushi. the students that preferred pizza represent 27 fewer students than five times the number of students that preferred sushi. if 1,528 students prefer pizza, how many students prefer sushi?

Let's call the number of students who prefer sushi x.

We are told that the number of students who prefer pizza is 27 less than 5 times the number of students who prefer sushi, so 5x - 27 = 1528.
Adding 27 to both sides of the equation, we get 5x = 1555.
Dividing both sides by 5, we find that x = <<311=311>>311 students prefer sushi. Answer: \boxed{311}.