JAMB Mathematics 2010 Paper

Concept:To make $Q$ the subject, rearrange the formula step by step to isolate $Q$ on one side.Explanation:Start with the given equation:$$p = \frac{M}{5}(X + Q) + 1$$Subtract $1$ from both sides:$$p - 1 = \frac{M}{5}(X + Q)$$Multiply both sides by $\frac{5}{M}$ to remove the fraction:$$\frac{5}{M}(p - 1) = X + Q$$Write the left side as a single fraction:$$\frac{5(p - 1)}{M} = X + Q$$Subtract $X$ from both sides to isolate $Q$:$$Q = \frac{5(p - 1)}{M} - X$$Express $X$ with denominator $M$:$$Q = \frac{5(p - 1) - MX}{M}$$Expand the numerator:$$Q = \frac{5p - 5 - MX}{M}$$Rearrange the terms in the numerator:$$Q = \frac{5p - MX - 5}{M}$$Answer:$$Q = \frac{5p - MX - 5}{M}$$This corresponds to option B.