SOLUTION: A man gave two fifths of his paycheck to his wife and spent half of the remainder. If he had $300 left, how much money was his original paycheck?

Question 766124: A man gave two fifths of his paycheck to his wife and spent half of the remainder. If he had $300 left, how much money was his original paycheck?
Answer by subudear(62) (Show Source): You can put this solution on YOUR website!
Lets assume man had $X in total
now the man gave two fifths of his paycheck to his wife, which means (2/5)X is given away. How much is left
X - (2/5)X = (3/5)X
Man is left with (3/5)X
Now its given that he spent half of this left over, which means (1/2)*(3/5)X
So man is left with
=(3/5)X - (1/2)*(3/5)X
=(3/5)X - (3/10)X
=(3/10)X
now its given that he is left with $300 which means
300 = (3/10)X
X = 1000
so Man had $1000 initially.
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