Problema Solution
A lecturer in the mathematical department office gets $3 per hour for clerical work and $8 per hour for tutoring. If he wants to work a total of 20 hours and earn at least $145, what is the maximum number if hours X he can spend on clerical work?
Answer provided by our tutors
x = hours spent on clerical work
20 - x = hours spent on tutoring
he wants to earn at least $145 means:
3x + 8(20 - x) >= 145
by solving we find
x <= 3
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the maximum hours that the lecturer can spend on clerical work is 3.