For the level 3 course examination hours cost twice as much as workshop hours and workshop hours cost twice as much as lecture hours. How much did the lectures cost per hour?

You have three unknowns: examination hours, workshop hours and lecture hours. Then, we assign variables.

Let:

x - examination hours

y - workshop hours

z - lecture hours

Then, we formulate equations based on the relationships given.

x = 2y - - > eq 1

y = 2z - - > eq 2

Substituting eq 2 to eq 1,

x = 2 (2z)

x = 4z

z = x/4

Therefore, the lecture hours cost one-fourth of the cost of the examination hours.