Mr. Ramos gave 3/5 of his lottery winnings to charity and spent ¼ of the remainder.  If he has $150 left, how much money did he have at first?

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Mr. Ramos gave 3/5 of his lottery winnings to charity and spent 1/4 of the remainder. 

Let the amount he had initially be X. When he gives away 3/5 of the amount he is left with `X*(1 - 3/5) = (2*X)/5` . He spends 1/4 of the remaining, the amount with him now is `((2*X)/5)*(1 - 1/4)` = `((2*X)/5)*(3/4) = (3*X)/10`

`(3*X)/10 = 150`

=> X = 500

Mr. Ramos initially had $500

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