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John had some sweets. He gave 1/3 of his sweets and another 4 to Peter. Then he gave 1/3 of the remaining sweets and another 3 to Mark, and 1/3 of the rest and another 3 to Xavier. In the end, he had 3 sweets left. How much did he have at first?

 Aug 2, 2021
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x = 0rigianl amount

give away 1/3  and 4 more leaves     2/3 x - 4

give away 1/3 of remaining and 3 more     leaves     2/3 (2/3x-4) -3

 give 1/3 away of remaining and 3 more leaves         2/3 ( 2/3(2/3x-4)-3) - 3

                 and that = 3 left

 

   2/3 ( 2/3(2/3x-4)-3) - 3 = 3

   2/3 ( 4/9x - 8/3 -3) = 6

2/3 (4/9x - 17/3) = 6

8/27x - 34/9 = 6

x = 33 originally

 Aug 2, 2021

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