In olgilvie’s class of 40 students 24 students report that English is their favorite class in 40% of the students report that keyboarding is their favorite class so your work to explain how to determine whether more students prefer English or keyboarding

Let's denote the total number of students in Olgilvie’s class as T, which is given as 40 students.

From the given information, we have two favorite classes: English and Keyboarding.

For English:
24 students report that English is their favorite class.

For Keyboarding:
40% of the students report that Keyboarding is their favorite class.

To find out how many students that accounts for, we take the percentage of the total number of students:

Keyboarding students = 40% of T
Keyboarding students = 0.40 * T
Keyboarding students = 0.40 * 40
Keyboarding students = 16

Now, we have a number of students who prefer English and a number who prefer Keyboarding:

- English: 24 students
- Keyboarding: 16 students

By comparing numbers, we can clearly see that more students prefer English (24) over Keyboarding (16).

Therefore, there are more students who prefer English than those who prefer Keyboarding in Olgilvie’s class.