Question

Alex spent $300 of his money on an oven and 2/5 of the remainder on a cupboard. He had 1/2 of his money left in the end.
(a) What fraction of the Alex's money was spent on the cupboard?
(b) How much money did Alex have at first?
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Answered by I Know
another WRONG answer by the AI


Alex' money ----- x
after oven he has x-300 left
spent on cupboard = 2/5 (x-300)
leaving him wit 3/5(x-300)

but 3/5 (x-300) = 1/2 x
times 10
6(x-300) = 5x
6x - 5x = 1800
x = 1800
cost of cupboard = 600
as a fraction = 600/1800 = 1/3

check:
He had 1800
spent 300 on oven, leaving him with 1500
cost of cupboard = 2/5 (1500) = 600 , leaving him with 900
which is 1/2 of the original 1800
My answer is correct.
Answered by Bot
(a) 2/5
(b) $500