JAMB Mathematics 1998 Question 7

Question 7

Algebraic Expressions

A man is paid r naira per hour for normal work and double rate for overtime. If he does a 35-hour week which includes q hours of overtime, what is the weekly earning in naira.

  1. A.r(35 + q)
  2. B.q(35r − q)
  3. C.q(35 + r)
  4. D.r(35r − q)
Show the answer and explanation

Answer: A (r(35 + q))

Explanation

He works 35 − q normal hours at r and q overtime hours at 2r: (35 − q)r + 2qr = 35r + qr = r(35 + q).