WAEC Mathematics 2012 Paper

Concept:Isolating a variable by rearranging a rational equation using algebraic operations.Explanation:Start with the given equation:$q = \frac{3p}{r} + \frac{s}{2}$Bring the terms over a common denominator $2r$:$q = \frac{6p + rs}{2r}$Multiply both sides by $2r$ to eliminate the denominator:$2qr = 6p + rs$Subtract $rs$ from both sides to isolate the term containing $p$:$6p = 2qr - rs$Divide both sides by $6$ to make $p$ the subject:$p = \frac{2qr - rs}{6}$This matches option D.Answer:$p = \frac{2qr - rs}{6}$Correct option: D.