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At first, Ali had some money. He spent 20% of it on some books and 5/8 of the remainder on old. After that, his parents gave him $90. The ratio of the total amount of money he had in the end to the amount of money he had at first was 3:2. How much money did he have at first?

 Aug 20, 2021
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.80 x    is amount after spending 20%

 

3/8 * .8x   is amount after spending 5/8 remaiing

 

3/8 * .8x + 90    =   3/2 x

.3x +90 = 3/2 x

90 =  1.5x - .3x

90 = 1.2x

75 = x

 Aug 20, 2021

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