Question

Соня и хвастун собрали вместе 30 грибов. Какое из высказываний, предложенных в ответах, не может быть правильным? А) Соня собрал в два раза больше грибов, чем Хвастун Б) Соня собрал в три раза больше грибов, чем Хвастун В) Соня собрал в четыре раза больше грибов, чем Хвастун Г) Соня собрал в пять раза больше грибов, чем Хвастун Д) Соня собрал в девять раза больше грибов, чем Хвастун

Answer 1

Б не может быть правильным

Answer 2

А) если он собрал 10,б

Answer 3

Question Analysis

The question states that Sonya and Boaster collected a total of 30 mushrooms. We need to determine which of the statements provided in the answer options cannot be correct.

Answer

To find the correct answer, we can use simple arithmetic. Let's evaluate each statement:

A) Sonya collected twice as many mushrooms as Boaster. B) Sonya collected three times as many mushrooms as Boaster. C) Sonya collected four times as many mushrooms as Boaster. D) Sonya collected five times as many mushrooms as Boaster. E) Sonya collected nine times as many mushrooms as Boaster.

Since the total number of mushrooms collected is 30, we can set up an equation using the variable "x" to represent the number of mushrooms Boaster collected. The equation is:

x + (Sonya's mushrooms) = 30

Now, let's evaluate each statement using this equation:

A) Sonya collected twice as many mushrooms as Boaster: - This means Sonya's mushrooms = 2x. - The equation becomes: 2x + x = 30. - Simplifying the equation: 3x = 30. - Solving for x: x = 10. - Therefore, this statement is correct.

B) Sonya collected three times as many mushrooms as Boaster: - This means Sonya's mushrooms = 3x. - The equation becomes: 3x + x = 30. - Simplifying the equation: 4x = 30. - This equation does not have an integer solution. - Therefore, this statement is not correct.

C) Sonya collected four times as many mushrooms as Boaster: - This means Sonya's mushrooms = 4x. - The equation becomes: 4x + x = 30. - Simplifying the equation: 5x = 30. - This equation does not have an integer solution. - Therefore, this statement is not correct.

D) Sonya collected five times as many mushrooms as Boaster: - This means Sonya's mushrooms = 5x. - The equation becomes: 5x + x = 30. - Simplifying the equation: 6x = 30. - This equation does not have an integer solution. - Therefore, this statement is not correct.

E) Sonya collected nine times as many mushrooms as Boaster: - This means Sonya's mushrooms = 9x. - The equation becomes: 9x + x = 30. - Simplifying the equation: 10x = 30. - Solving for x: x = 3. - Therefore, this statement is correct.

Based on our evaluation, the statement that cannot be correct is B) Sonya collected three times as many mushrooms as Boaster.

Explanation

The correct answer is B) Sonya collected three times as many mushrooms as Boaster. This statement is not correct because it does not yield an integer solution when solving the equation. The other statements, A), C), D), and E), are correct and can be supported by the equation and the given information.