Final answer:
By setting up a proportion, we find that the total number of students in the class where 90% passed with a 75 or higher is 30.
Step-by-step explanation:
To find the total number of students in the class, we know that 90% corresponds to 27 students who passed with a 75 or higher. We can set up a proportion where 90% is to 27 students as 100% is to the total number of students in the class (which we'll call x).
The proportion looks like this: 90/100 = 27/x.
To solve for x, we cross-multiply: 90x = 2700. Dividing both sides by 90 gives us x = 30.
Therefore, there were 30 students in the whole class.