Answer:
The hourly rate for lectures is $7.33
Step-by-step explanation:
* Let's break down how to tackle the problem.
- For the level 3 course, examination hours are priced at double that of workshop hours.
- Workshop hours cost twice the rate of lecture hours.
- The total includes examination, workshop, and lecture hours.
- Examination lasts 3 hours, workshops 24 hours, and lectures 12 hours.
* Let’s denote the cost of lecture hours as $x per hour.
∴ The lectures cost $x per hour.
∵ Workshop charge is twice that of lectures
∴ Workshop hours cost 2(x) = 2x per hour.
∵ Examination fees are double that of workshop hours
∵ The workshop cost is 2x
∴ Examination fees are 2(2x) = 4x per hour.
- Combining costs for level 3 gives us the total of lecture, workshop, and examination hours.
∵ 12 hours for lectures
∵ 24 hours for workshops
∵ 3 hours for examinations
∵ Thus the total cost for level 3 = 12(x) + 24(2x) + 3(4x).
∴ Total cost for level 3 = 12x + 48x + 12x.
∵ Therefore, total cost = $528.
∴ 12x + 48x + 12x = 528.
∴ 72x = 528; hence we divide both sides by 72.
∴ x = 7.33.
∵ x represents the cost of lecture hours per hour.
∴ Therefore, the hourly price for lectures is $7.33.
