Question

По итогам первого полугодия хорошистов в классе было в 2 раза больше, чем отличников. По итогам учебного число отличников возросло на 5 , а число хорошистов на 2 , и в результате их количества сравнивались. Сколько хорошистов и сколько отличников было в классе в первом полугодии??? Решить только с решением!!!!!!!!

Answer 1

X = 2Y

Y + 5 = X + 2

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Y + 5 = 2Y + 2

Y = 3

X = 6

Ответ: отличников  3 человека, хорошистов 6 человека

Answer 2

x = 2y

y + 5 = x + 2

y + 5 = 2y + 2

y = 3

x= 6

Ответ: отличников  3 человека, хорошистов 6 человека

 

Answer 3

Problem Analysis

We are given the information that in the first half of the year, the number of students who received a good grade was twice the number of students who received an excellent grade. At the end of the year, the number of excellent students increased by 5, while the number of good students increased by 2. We need to determine the number of good students and excellent students in the class during the first half of the year.

Solution

Let's assume the number of excellent students in the class during the first half of the year is x. According to the given information, the number of good students in the class during the first half of the year is twice the number of excellent students, so it is 2x.

At the end of the year, the number of excellent students increased by 5, so the total number of excellent students is now x + 5. Similarly, the number of good students increased by 2, so the total number of good students is now 2x + 2.

We are told that the total number of excellent and good students at the end of the year was compared. Therefore, we can set up the following equation:

(x + 5) + (2x + 2) = x + 2x

Simplifying the equation:

3x + 7 = 3x

We can see that the variable x cancels out, which means the value of x does not affect the equation. This implies that there is no unique solution to the problem. The equation is inconsistent, which means there is no way to determine the exact number of good and excellent students in the class during the first half of the year based on the given information.

Therefore, we cannot determine the number of good students and excellent students in the class during the first half of the year with the given information.

Answer

Based on the given information, it is not possible to determine the number of good students and excellent students in the class during the first half of the year.