WAEC Mathematics 2012 Paper

Concept:Let the total money be $x$. Use the fact that total money equals the sum of money spent and money saved.Explanation:Let Alfred's total money be $x$.Money spent on food $= \frac{x}{4}$.Money spent on clothing $= \frac{x}{3}$.Savings $= N72{,}000.00$.So, $\frac{x}{4} + \frac{x}{3} + 72{,}000.00 = x$.Combine the fractions: $\frac{3x + 4x}{12} + 72{,}000.00 = x$.This gives $\frac{7x}{12} + 72{,}000.00 = x$.Subtract $\frac{7x}{12}$ from both sides: $72{,}000.00 = x - \frac{7x}{12}$.So, $72{,}000.00 = \frac{5x}{12}$.Multiply both sides by $\frac{12}{5}$: $x = 72{,}000.00 \times \frac{12}{5}$.Thus, total money $x = 172{,}800.00$.Amount spent on food $= \frac{1}{4} \times 172{,}800.00 = 43{,}200.00$.Answer:Alfred spent N$43{,}200.00$ on food.Correct option: A.