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10 May, 12:55

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?

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  1. 10 May, 14:01
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    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.
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