Question

Дедка вдвое сильнее бабки, бабка в трое сильнее внучки, внучка вчетверо сильнее Жучки, Жучка впятеро сильнее кошки, кошка вшестеро сильнее мышки. Дедка, бабка, внучка, Жучка и кошка вместе с мышкой могут вытащить репку, а без мышки - не могут. Сколько надо позвать мышек, чтобы они САМИ смогли вытащить репку?

Answer 1

2*3*4*5*6=720 мышек надо позвать, чтобы вытащить репку

Answer 2

Problem Analysis

The problem describes a scenario where each character in the story is stronger than the next character by a certain factor. The characters are: Grandpa, Grandma, Granddaughter, Dog, Cat, and Mouse. Together, they can pull out a turnip, but they cannot do it without the Mouse. The question is how many Mice are needed for them to be able to pull out the turnip on their own.

Solution

To solve this problem, we need to determine the relative strength of each character and calculate the cumulative strength of all the characters. Then we can find out how many Mice are needed to match or exceed that cumulative strength.

Let's assign variables to represent the strength of each character: - Grandpa's strength = G - Grandma's strength = B (for Babka in Russian) - Granddaughter's strength = V - Dog's strength = Z (for Zhuchka in Russian) - Cat's strength = K - Mouse's strength = M

Based on the information given in the problem, we can write the following equations: - B = 2G (Babka is twice as strong as Grandpa) - V = 3B (Granddaughter is three times as strong as Babka) - Z = 4V (Dog is four times as strong as Granddaughter) - K = 5Z (Cat is five times as strong as Dog) - M = 6K (Mouse is six times as strong as Cat)

To find the cumulative strength of all the characters, we can substitute the values of each variable into the equations and simplify: - B = 2G - V = 3(2G) = 6G - Z = 4(6G) = 24G - K = 5(24G) = 120G - M = 6(120G) = 720G

So, the cumulative strength of all the characters is 720G.

To determine how many Mice are needed to match or exceed this cumulative strength, we need to divide the cumulative strength by the strength of a single Mouse: - Number of Mice = 720G / M

Calculation

To calculate the number of Mice needed, we need to know the strength of a single Mouse. Unfortunately, the search results provided do not contain the necessary information to determine the strength of a Mouse. Therefore, we cannot provide a specific answer to the question.

Conclusion

Based on the information given in the problem, we can determine the cumulative strength of all the characters, which is 720G. However, without knowing the strength of a single Mouse, we cannot calculate the number of Mice needed to pull out the turnip on their own.