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?
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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?
Miles
4.9111 Answers
1. Let the initials be M_0
2. After the first doubling, the money becomes2M_0
3. After paying the fee, they have2M_0 - 148
4. After the second doubling, they get2(2M_0 - 148) = 4M_0 - 296
5. After paying the fee again, they have4M_0 - 296 - 148 = 4M_0 - 444
6. After the third doubling, they get2(4M_0 - 444) = 8M_0 - 888
7. After paying the fee for the last time, they have8M_0 - 888 - 148 = 8M_0 - 1036 = 0
8. Solving forM_0
8M_0 - 1036 = 0
8M_0 = 1036
M_0 = \frac{1036}{8}
M_0 = 129.50
2. After the first doubling, the money becomes
3. After paying the fee, they have
4. After the second doubling, they get
5. After paying the fee again, they have
6. After the third doubling, they get
7. After paying the fee for the last time, they have
8. Solving for
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