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Walking along Hadrian's Wall, a group of walkers encountered a man who claimed Discover a magical well. If a bag of money was put into the well, after counting to five, the well doubled the money on it. Stunned, the walkers asked him: “How much would it cost us to use the Good?" The man replied: "Every time you put a bag in the well and count to five, give me €148. Do you accept?" They accepted. The man put his bag in the well, counted until five and took it out. The money had doubled. The walkers took €148 from the bag, paid and He asked to repeat the operation. But the third time they did it, after paying €148 According to the man, the wallet no longer had any money in it! How is this possible?

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Answer to a math question Walking along Hadrian's Wall, a group of walkers encountered a man who claimed Discover a magical well. If a bag of money was put into the well, after counting to five, the well doubled the money on it. Stunned, the walkers asked him: “How much would it cost us to use the Good?" The man replied: "Every time you put a bag in the well and count to five, give me €148. Do you accept?" They accepted. The man put his bag in the well, counted until five and took it out. The money had doubled. The walkers took €148 from the bag, paid and He asked to repeat the operation. But the third time they did it, after paying €148 According to the man, the wallet no longer had any money in it! How is this possible?

Expert avatar
Miles
4.9
116 Answers
1. Let the initials be M_0
2. After the first doubling, the money becomes 2M_0
3. After paying the fee, they have 2M_0 - 148 remaining
4. After the second doubling, they get 2(2M_0 - 148) = 4M_0 - 296
5. After paying the fee again, they have 4M_0 - 296 - 148 = 4M_0 - 444
6. After the third doubling, they get 2(4M_0 - 444) = 8M_0 - 888
7. After paying the fee for the last time, they have 8M_0 - 888 - 148 = 8M_0 - 1036 = 0
8. Solving for M_0:

8M_0 - 1036 = 0

8M_0 = 1036

M_0 = \frac{1036}{8}

M_0 = 129.50

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