waecmaths question:
Alfred spend $\tfrac{1}{4}$ of his money on food, $\tfrac{1}{3}$ on clothing and saved the rest. If he saved N72,000.00, how much did he spend on food
Option A:
N43,200.00
Option B:
N43,000.00
Option C:
N42,200.00
Option D:
N40,000.00
waecmaths solution:
$\begin{align} & \text{Let the total amount be }x \\ & \text{The amount spent on food is }\tfrac{1}{4}x \\ & \text{The amount spent on clothing }\tfrac{1}{3}x \\ & \text{The amount saved }=x-(\tfrac{x}{4}+\tfrac{x}{3})=\tfrac{5x}{12} \\ & \text{The amount saved }=\frac{5x}{12}=N72,000 \\ & x=\frac{N72,000\times 12}{5}=N172,800 \\ & \text{The amount spent on food will be } \\ & \frac{1}{3}\times N172800=N43,200 \\\end{align}$
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