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 id the lectures cost per hour? Total cost level 3 = $528

The lectures cost is $7.33 per hour

Step-by-step explanation:

* Lets explain how to solve the problem

- For the level 3 course the examination hours cost twice as much

as workshop hours

- The workshop hours cost twice as much as lecture hours

- There are examination hours, workshop hours and lecture hours

- There are 3 hr for examination, 24 hr for workshops and 12 hr

for lectures

* Let the cost of the lecture hours is $x per hour

∴ The cost of the lecture hours is x per hour

∵ The cost of workshop hours is twice the cost of lecture hours

∴ The cost of the workshop hours is 2 (x) = 2x per hour

∵ The cost of examination hours is twice the cost of workshop hours

∵ The cost of the workshop hours is 2x

∴ The cost of examination hours is 2 (2x) = 4x per hour

- The cost of the level 3 is the sum of the costs of the lecture hours,

workshop hours and examination hours

∵ There is 12 hours for lectures

∵ There is 24 hours for workshops

∵ There is 3 hours for examination

∵ The total cost of level 3 = 12 (x) + 24 (2x) + 3 (4x)

∴ The total cost of level 3 = 12 x + 48 x + 12 x

∵ The total cost of level 3 = $528

∴ 12 x + 48 x + 12 x = 528

∴ 72 x = 528 ⇒ divide both sides by 72

∴ x = 7.33

∵ x is the cost of the lecture hours per hour

∴ The lectures cost is $7.33 per hour