Question

В 5 б классе из 27 учеников "3" получили за контрольную по математике в 6 раз меньше человек, чем "4" и в 2 раза меньше, чем "5". Сколько учеников получили "3" , "4" и "5" за контрольную работу?

Answer 1

Возьмем за Х тех кто получил 3
тогда
6Х это те кто получил 4
А
2Х это те кто 5 получил
составим уравнение исходя из данных задачи
Х+6Х+2Х=27
9Х=27
Х=3
6Х=18
2Х=6
 ну и теперь выясняем сколько кто получил
 оценку 3 получило 3 человека
оценку 4 получило 18 человек
оценку 5 получило 6 человек

Answer 2

Analysis and Solution

To solve this problem, we need to determine the number of students who received a grade of "3", "4", and "5" on a math test in a 5th-grade class of 27 students.

Let's break down the information given:

- The number of students who received a grade of "3" is 6 times less than the number of students who received a grade of "4". - The number of students who received a grade of "3" is 2 times less than the number of students who received a grade of "5".

To find the number of students who received each grade, we can use algebraic equations.

Let's assume: - The number of students who received a grade of "4" is x. - The number of students who received a grade of "5" is y.

Based on the given information, we can write the following equations:

Equation 1: The number of students who received a grade of "3" is 6 times less than the number of students who received a grade of "4". ``` 3 = x - 6x ```

Equation 2: The number of students who received a grade of "3" is 2 times less than the number of students who received a grade of "5". ``` 3 = y - 2y ```

Now, let's solve these equations to find the values of x and y.

Solving the Equations

Equation 1: 3 = x - 6x Simplifying the equation, we get: ``` 3 = -5x ``` Dividing both sides by -5, we find: ``` x = -3/5 ``` Since the number of students cannot be negative, we can conclude that there are no students who received a grade of "4".

Equation 2: 3 = y - 2y Simplifying the equation, we get: ``` 3 = -y ``` Dividing both sides by -1, we find: ``` y = -3 ``` Again, since the number of students cannot be negative, we can conclude that there are no students who received a grade of "5".

Conclusion

Based on the given information, it appears that there are no students who received a grade of "3", "4", or "5" on the math test in the 5th-grade class of 27 students.

Please note that the given information may be incomplete or there may be an error in the problem statement. If you have any additional information or clarification, please let me know, and I'll be happy to assist you further.