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John went to three bookshops. He's spent 1/3 of his money and another $120 at the first bookshop. He continued to

 

spend 1/3 of his remaining money and another $120 at the second bookshop. At the third bookshop, he spent 1/3 of what

 

was left and another $120. In the end, he had nothing left. How much money did he have at first?

 Aug 24, 2021
edited by KourageKowardlyDog  Aug 24, 2021
 #1
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OK, so I would set all the money he has at first as X, our variable.

 

X - 1/3X - 120 = 2/3X - 120 is what he has after sentence 1

1/3(2/3X-120)-120 = 2/9X - 160 is what he has after sentence 2

1/3(2/9X - 160) -120 = 2/27X - 520/3 is what he has after sentence 3, but since by this time he doesn't have any money left, we can infer than

2/27X - 520/3 = 0, thus 2/27X = 520/3.

 

Find X to get the answer.

 Aug 25, 2021
 #2
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Ok I did not see your answer. Your answer is wrong. I used bartlebly instead. They got 855.

KourageKowardlyDog  Aug 25, 2021

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