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?
……….
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.
(a) 2/5
(b) $500