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?
Call "x" the original amount. 2/5 = 0.40 1/2 = 0.50
(x – 300) – (0.40)(x – 300) = (0.50)(x) If he had half his money left, that means
the amount he spent was the other half.
x – 300 – 0.40x + 120 = 0.50x
x – 0.40x – 0.50x = 300 – 120
0.10x = 180
x = 1800
check answer
Alex spent 300, so 1800 – 300 = 1500 He spent 300
Alex spent (2/5)(1500) = 600 He spent 600
total spent was 900
Is 900 half of 1800? True
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