Alfred spent (frac{1}{4}) of his money on food, (frac{1}{3}) on clothing and save the rest….

Alfred spent (frac{1}{4}) of his money on food, (frac{1}{3}) on clothing and save the rest. If he saved N72,20.00, how much did he spend on food?
  • A.
    N43,200.00
  • B.
    N43,000.00
  • C.
    N42,200.00
  • D.
    N40,000.00
Correct Answer: Option A
Explanation

let the total amount be Nx i.e ((frac{1}{4}))x + ((frac{1}{3}))x + 72,000 = x
(frac{x}{4} + frac{x}{4} + 72,000 = x)
(frac{3x + 4x + 86,400}{12} = x)
cross multiply to clear fraction
12x = 3x + 4x + 86,400
12x – 7x = 86,400
5x = 86,400
x – (frac{86,400}{5}) = 172,800
amount spent on food = (frac{1}{4} times 172,800)
= N43,200

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