Alfred spent frac 1 4 of his money on food frac... - WAEC Mathematics 2012 Question
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
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Correct Option: A
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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