Question

Тут несколько вариантов за несколько лет службы гордыня Никитич и его дружинники спасли от разбойников 150 купцов и 90 крестьян направлявшись в Москву из других земель сколько купцов и сколько крестьян остались жить в московском княжестве если 45 человек одного звания продолжили свой путь дальше НЕСКОЛЬКО ВАРИАНТОВ РЕШЕНИЯ

Answer 1

Calculation of Remaining Merchants and Peasants in Moscow Principality

To solve this problem, we need to determine the number of merchants and peasants who remained in the Moscow Principality after Pride Nikitich and his warriors saved 150 merchants and 90 peasants from the bandits. We also know that 45 individuals of the same rank continued their journey.

Let's denote the number of remaining merchants as M and the number of remaining peasants as P.

We can set up the following equation based on the given information:

M + P = (150 - M) + (90 - P) + 45

Simplifying the equation:

M + P = 150 - M + 90 - P + 45

Combining like terms:

2M + 2P = 285

Dividing both sides of the equation by 2:

M + P = 142.5

Since we are dealing with whole numbers of merchants and peasants, we can conclude that it is not possible to have a fraction of a person. Therefore, we need to find whole number solutions for M and P that satisfy the equation M + P = 142.5.

There are several possible solutions for this equation, but since we are looking for whole numbers, we need to find the combination of M and P that adds up to 142.5.

Let's explore a few possible solutions:

1. If we assume that all 45 individuals who continued their journey were merchants, then M = 45 and P = 142.5 - 45 = 97.5. However, since we are looking for whole numbers, this solution is not valid.

2. If we assume that all 45 individuals who continued their journey were peasants, then P = 45 and M = 142.5 - 45 = 97.5. Again, this solution is not valid.

3. If we assume that half of the 45 individuals who continued their journey were merchants and the other half were peasants, then M = 22.5 and P = 22.5. Since we are looking for whole numbers, this solution is also not valid.

Based on the given information, it seems that there is no valid solution for the number of remaining merchants and peasants in the Moscow Principality. It is possible that there is missing information or an error in the problem statement.

Please let me know if there is anything else I can help you with!