Question 38

loading...

Prev/Next links

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: 

$\begin{align}  & \text{Let the total amount be }x \\ & \text{The amount spent on food is }\tfrac{1}{4}x \\ & \text{The amount spent on clothing }\tfrac{1}{3}x \\ & \text{The amount saved }=x-(\tfrac{x}{4}+\tfrac{x}{3})=\tfrac{5x}{12} \\ & \text{The amount saved }=\frac{5x}{12}=N72,000 \\ & x=\frac{N72,000\times 12}{5}=N172,800 \\ & \text{The amount spent on food will be } \\ & \frac{1}{3}\times N172800=N43,200 \\\end{align}$

maths year: 
maths topics: