Question

три крестьянина зашли на постоялый двор отдохнуть и пообедать.Заказали хозяйке сварить картофель и заснули.Хозяйка сварила картофель,но не стала будить постояльцев,а поставила миску с едой и ушла.Проснулся один крестьянин,увидел картофель и,чтобы не будить товарищей,сосчитал число картофелин,съел свою долю и снова уснул.Вскоре проснулся другой;ему невдомек было,что один из товарищей съел свою долю,поэтому он сосчитал весь оставшийся картофель,съел третью часть и опять заснул.После чего проснулся третий и сделал тоже,что и его товарищи.Когда они проснулись,то все выяснилось.Сколько картофелин подала на стол хозяйка, если осталось 8 картофелин? ПОМОГИТЕ ПЛИИИИЗ!БОШКА ВООБЩЕ НЕ ВАРИТ У МЕНЯ КОНТР РАБ ПО МАТЕМ!!!!!

Answer 1

8*3/2=12 картофелин осталось после 2крестьянина

12*3/2=18 картофелин осталось после 1 крестьянина

18*3/2=27 катофелин было всего

Answer 2

Problem Analysis

Three peasants went to a roadside inn to rest and have lunch. They asked the innkeeper to cook potatoes for them and then fell asleep. The innkeeper cooked the potatoes but didn't wake the peasants. Instead, she left a bowl of potatoes for them and left. One peasant woke up, saw the potatoes, counted them, ate his portion, and went back to sleep. Another peasant woke up, unaware that one of his companions had already eaten, counted the remaining potatoes, ate one-third of them, and went back to sleep. The third peasant did the same when he woke up. When they all woke up, they realized what had happened. The question is: how many potatoes did the innkeeper serve if there were 8 potatoes left?

Solution

Let's work through the problem step by step:

1. The first peasant woke up, saw the potatoes, counted them, ate his portion, and went back to sleep. Since there were 8 potatoes left, we know that the first peasant ate some of them. Let's assume he ate x potatoes. Therefore, the number of potatoes before he ate would be x + 8.

2. The second peasant woke up, unaware that the first peasant had already eaten, counted the remaining potatoes, ate one-third of them, and went back to sleep. Since there were 8 potatoes left after the first peasant ate, the second peasant ate one-third of these remaining potatoes. Let's assume he ate y potatoes. Therefore, the number of potatoes before he ate would be y + 8.

3. The third peasant did the same when he woke up. Since there were 8 potatoes left after the second peasant ate, the third peasant ate one-third of these remaining potatoes. Let's assume he ate z potatoes. Therefore, the number of potatoes before he ate would be z + 8.

Now, we can set up the following equations:

- Equation 1: x + 8 = y - Equation 2: y + 8 = z - Equation 3: z + 8 = 8

Let's solve these equations to find the values of x, y, and z.

From Equation 3, we can see that z = 0.

Substituting this value into Equation 2, we get y + 8 = 0, which means y = -8.

Substituting the value of y into Equation 1, we get x + 8 = -8, which means x = -16.

Since the number of potatoes cannot be negative, we can conclude that our initial assumption was incorrect. Let's try a different approach.

Let's assume that the innkeeper served n potatoes.

1. The first peasant ate his portion and left n - x potatoes. 2. The second peasant ate one-third of the remaining potatoes and left (n - x) - y potatoes. 3. The third peasant ate one-third of the remaining potatoes and left ((n - x) - y) - z potatoes.

According to the problem, there were 8 potatoes left. So we have the equation:

((n - x) - y) - z = 8

Now, let's substitute the values we found earlier:

((n - (-16)) - (-8)) - 0 = 8

Simplifying the equation:

(n + 16) + 8 = 8

n + 24 = 8

n = -16

Again, we have a negative value for the number of potatoes, which is not possible. Therefore, our assumption was incorrect.

It seems that there is no solution to this problem based on the given information. The number of potatoes served by the innkeeper cannot be determined.

Please note that this answer is based on the information provided in the problem statement. If there are any additional details or constraints that were not mentioned, the solution might be different.