WAEC Mathematics 2014 Theory — Question 10

Question 10 of 23 from the West African Examinations Council (WAEC) Mathematics 2014 Theory paper, with the correct answer and a full explanation.

PART II — Answer five questions from this part. All questions carry equal marks. 6(a). If 3/(2p−½) = (1/3)/(¼p+1), find p.

Model answer

Cross-multiplying: 3×(¼p+1) = (1/3)×(2p−½) (3p/4)+3 = (2p/3)−(1/6) Multiply through by 12: 9p+36 = 8p−2 9p−8p = −2−36 p = −38

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