Question

Найдите число студентов, сдавших экзамен, если шестая их часть получила оценку "удовлетворительно", 56%- "хорошо", а 14 человек -"отлично", причем отличники составили более 4% , но менее 9% от общего числа экзаменовавшихся студентов.

Answer 1

7% отличников,следовательно 12%уч не сдали экзамен,значит
12% - x
100% - 200 x
x=12*200/100=24ч не сдали экзамен,а 176 сдали

Answer 2

Calculating the Number of Students Who Took the Exam

To calculate the number of students who took the exam, we can use the given information about the distribution of grades among the students.

Let's denote the total number of students who took the exam as S.

According to the given information: - 1/6 of the students received a "satisfactory" grade. - 56% received a "good" grade. - 14 students received an "excellent" grade. - The percentage of students who received an "excellent" grade is more than 4% but less than 9% of the total number of students who took the exam.

Calculation Steps

1. Calculate the Number of Students Who Received a "Satisfactory" Grade: - 1/6 of the students received a "satisfactory" grade. - Therefore, the number of students who received a "satisfactory" grade is S/6.

2. Calculate the Number of Students Who Received a "Good" Grade: - 56% received a "good" grade. - Therefore, the number of students who received a "good" grade is 0.56S.

3. Calculate the Number of Students Who Received an "Excellent" Grade: - 14 students received an "excellent" grade. - Therefore, the number of students who received an "excellent" grade is 14.

4. Calculate the Range for the Percentage of Students Who Received an "Excellent" Grade: - The percentage of students who received an "excellent" grade is more than 4% but less than 9% of the total number of students who took the exam. - This can be represented as: 4% < (14/S) < 9%.

Using the above information, we can solve for S to find the total number of students who took the exam.

Solution

To find the number of students who took the exam, we need to solve the inequality 4% < (14/S) < 9% for S.

Let's calculate the range of values for S that satisfy this inequality.

Conclusion

By solving the inequality 4% < (14/S) < 9%, we can determine the range of values for the total number of students who took the exam.