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WAEC Mathematics 1996 Question 14

Question 14

Linear and Simultaneous Equations

Solve the equation 4/a + 1/(5a) = 3

  1. A.2 1/5
  2. B.1 2/5
  3. C.1 1/3
  4. D.1 4/15
  5. E.1/3
Show the answer and explanation

Answer: B (1 2/5)

Explanation

Over a common denominator: 20/(5a) + 1/(5a) = 21/(5a) = 3, so 15a = 21 and a = 7/5 = 1 2/5.