Question

Вдоль дороги в стране Дураков растут 30 кустов, на каждом кусте по 9 монет. Прохожие должны срывать с каждого куста 22, 33 или 44 монеты, но при этом никто не должен срывать поровну монет с соседних кустов, иначе охранники арестуют нарушителя. Алиса, потом Буратино и после них Василио прошли вдоль дороги и сорвали все монеты. Алиса сорвала не менее 105 монет, а Буратино сорвал меньше всех. Сколько монет сорвал Василио?

Answer 1

30*9=270 монет на всех кустах 
алиса сорвала 105 монет 
сказано что буратино сорвал меньше всех монет то есть такая последовательность 3+2+3+2+3+2 и т.д
то есть 15*2=30 и 15*3=45
и получается 45+30=75 монет 
и получается 105+75=180 монет буратино и алисы
найдем василио 270-180=90 монет
то есть был такой алгоритм 4+2+4+2+4+2+4+2 и т.д
ответ : 90 монет

Answer 2

Problem Analysis

In this problem, there are 30 bushes along a road in the country of "Дураков" (which translates to "Fools" in English). Each bush has 9 coins on it. Passersby are allowed to pick 22, 33, or 44 coins from each bush, but they must not pick an equal number of coins from neighboring bushes, as that would result in being arrested by the guards. Alice, Buratino, and Vasilio walked along the road and picked all the coins. Alice picked at least 105 coins, while Buratino picked fewer coins than anyone else. We need to determine how many coins Vasilio picked.

Solution

To solve this problem, we need to find the number of coins picked by Vasilio. Let's break down the information given:

- There are 30 bushes along the road. - Each bush has 9 coins. - Passersby can pick 22, 33, or 44 coins from each bush. - No one should pick an equal number of coins from neighboring bushes. - Alice picked at least 105 coins. - Buratino picked fewer coins than anyone else.

Let's analyze the information step by step:

1. Alice picked at least 105 coins. This means Alice picked either 105, 106, 107, ... coins. 2. Buratino picked fewer coins than anyone else. This means Buratino picked fewer than Alice and fewer than the maximum number of coins Alice could have picked.

Since Alice could have picked a maximum of 270 coins (30 bushes * 9 coins per bush), Buratino must have picked fewer than 270 coins.

Now, let's calculate the maximum number of coins Buratino could have picked:

- If Alice picked 105 coins, Buratino could have picked a maximum of 104 coins (to satisfy the condition of picking fewer coins than Alice). - If Alice picked 106 coins, Buratino could have picked a maximum of 103 coins. - If Alice picked 107 coins, Buratino could have picked a maximum of 102 coins. - And so on...

We can see that for every additional coin Alice picks, Buratino must pick one less coin to satisfy the condition. Therefore, the maximum number of coins Buratino could have picked is 270 - (105 - 1) = 166.

Now, let's calculate the number of coins Vasilio picked:

- The total number of coins on all bushes is 30 bushes * 9 coins per bush = 270 coins. - Alice picked at least 105 coins. - Buratino picked fewer than 166 coins. - Therefore, Vasilio must have picked the remaining coins: 270 - 105 - 166 = 270 - 271 = -1.

Based on the given information, it seems that there is a contradiction. The total number of coins picked by Alice, Buratino, and Vasilio exceeds the total number of coins available on the bushes. This suggests that there may be an error in the problem statement or the given information.

Please double-check the problem statement or provide any additional information if available, so that we can provide a more accurate solution.