Regan's class is preparing for a field trip. Her teacher purchased bottled water for the trip and asked Regan to stock a cooler with 2 bottles for every student who is going. 3 of the students didn't turn in permission slips and aren't going on the trip. So, Regan stocks the cooler with 46 bottles of water. What is the total number of students in Regan's class?

Let "t" be the total number of students in Regan's class.

There are t - 3 students going on the field trip.
The number of bottles needed is 2 * (t - 3).
And 2 * (t - 3) = 46.
Thus 2 * t - 6 = 46.
Thus 2 * t = 52.
Thus t = <<26=26>>26. Answer: \boxed{26}.

To find the total number of students in Regan's class, we need to figure out the number of students who turned in permission slips and are going on the trip. We can do this by dividing the number of bottles of water in the cooler by 2 (since there are 2 bottles per student).

Since Regan stocked the cooler with 46 bottles of water, we can calculate the number of students as:
Number of students = 46 bottles / 2 bottles per student
Number of students = 23 students

Therefore, the total number of students in Regan's class is 23.

To find the total number of students in Regan's class, we need to determine the number of students going on the field trip.

Since Regan stocks 2 bottles of water for every student going on the trip, we can divide the total number of water bottles by 2 to find the number of students.

46 bottles of water / 2 = 23 students

However, it is mentioned that 3 students didn't turn in permission slips and are not going on the trip. Therefore, we need to subtract these 3 students from the total number of students going on the trip.

23 students - 3 students = 20 students

So, the total number of students in Regan's class is 20.