Question

Задача 3: Четыре приятеля собирали грибы. На вопрос: «Сколько грибов вы вместе собрали?" они ответили так. Петя: «Не меньше ста". Вася: «Белых – двадцать, а остальные я не считал". Миша: «Вас ошибается". Юра: «Не больше 99". Сколько ребят сказали правду? Ответ объясните. ПОМОГИТЕ!!!!

Answer 1

если Петя прав, то Юра неправ, и наоборот. Кроме того, если Вася прав, то Миша неправ, и наоборот. Таким образом, в паре Петя – Юра ровно один мальчик сказал правду и в паре Вася – Миша тоже. Получается, что правду сказали ровно двое

Answer 2

Problem Analysis

Four friends were collecting mushrooms, and each of them made a statement about the number of mushrooms they collected. We need to determine how many of them told the truth.

Solution

Let's analyze each friend's statement:

1. Petya: Petya said, "Not less than a hundred." This means that Petya collected at least 100 mushrooms. 2. Vasya: Vasya said, "Twenty white ones, and I didn't count the rest." This means that Vasya collected 20 white mushrooms, but we don't know how many other mushrooms he collected. 3. Misha: Misha said, "Vasya is mistaken." This means that Vasya's statement is incorrect. 4. Yura: Yura said, "Not more than 99." This means that Yura collected 99 mushrooms or fewer.

Based on this information, we can make the following deductions:

- Since Vasya's statement is incorrect, he did not collect exactly 20 white mushrooms. Therefore, Vasya did not tell the truth. - Yura's statement is consistent with the possibility that he collected between 0 and 99 mushrooms. Therefore, Yura's statement is true.

So, out of the four friends, only Yura told the truth.

Answer

Only Yura told the truth.

Note: The other friends either made statements that were inconsistent or did not provide enough information to determine if they were telling the truth.