For the level 3 course, exam hours cost twice as much as workshop hours, workshop hours cost twice as much as lecture hours. How

Question

2 months ago

12

much are lectures per hour?

2 answers:

zzz [12.3K] · Answer 1 · 2026-03-05T17:37:03+03:00

zzz [12.3K]2 months ago

4 0

12 lectures in one hour

Inessa [12.5K] · Answer 2 · 2026-03-05T17:33:56+03:00

Answer

Lecture cost = $7.33 each hour

Let $e$ denote the expense for exam hours.

Let $w$ signify the expense for workshop hours.

Let $l$ indicate the expense for lecture hours.

The problem states that exam hours are priced at double that of workshop hours, represented by:

$e=2w$ equation (1)

It also indicates that workshop hours are at twice the cost of lecture hours, exemplified by:

$w=2l$ equation (2)

In addition, we understand that the combined cost for 3 hours of exams, 24 hours of workshops, and 12 hours of lectures totals $528, represented as:

$3e+24w+12l=528$ equation (1)

Now, let’s compute the value of $l$ :

Step 1. Determine $l$ via equation (3)

$3e+24w+12l=528$

$12l=528-3e-24w$ equation (4)

Step 2. Substitute equation (1) into equation (4) and simplify

$12l=528-3e-24w$

$12l=528-3(2w)-24w$

$12l=528-6w-24w$

$12l=528-30w$ equation (5)

Step 3. Insert equation (2) into equation (5) and solve for $l$

$12l=528-30w$

$12l=528-30(2l)$

$12l=528-60l$

$72l=528$

$l=\frac{528}{72}$

$l=\frac{22}{3}$

$l=7.33$

Lecture cost = $7.33 every hour