Question

Ученик готовясь к экзаменам,запланировал решать ежедневно 12 заданий, Однако он решал каждый день на 4 задания больше, и за 3 дня до экзаменов ему осталось решить 8 заданий. Сколько дней ученик готовился к экзаменам

Answer 1

Х - количество дней до экзаменов
12 * х - запланировано решить
(12 + 4) * (х - 3) - уже решено + 8 заданий осталось
Уравнение: 16(х - 3) + 8 = 12х
                   16х - 48 + 8 = 12х
                   16х - 12х = 48 - 8
                   4х = 40
                    х = 40 : 4
                    х = 10
Проверка: 16 * (10 - 3) + 8 = 12 * 10
                 112 + 8 = 120
                 120 = 120   
Ответ: 10 дней ученик готовился к экзаменам.

                        

Answer 2

Problem Analysis

The student initially planned to solve 12 problems daily. However, they ended up solving 4 more problems each day. Three days before the exams, they had 8 problems left to solve. We need to determine how many days the student prepared for the exams.

Solution

Let's assume the number of days the student prepared for the exams is x.

1. On the first day, the student solved 12 problems. 2. On the second day, the student solved 12 + 4 = 16 problems. 3. On the third day, the student solved 16 + 4 = 20 problems.

Therefore, in the first three days, the student solved a total of 12 + 16 + 20 = 48 problems.

Since the student had 8 problems left to solve, we can set up the following equation:

48 + 4(x - 3) = 8

Simplifying the equation:

48 + 4x - 12 = 8

4x + 36 = 8

4x = 8 - 36

4x = -28

x = -28/4

x = -7

The solution to the equation is x = -7. However, since we are dealing with the number of days, which cannot be negative, we can conclude that the student did not prepare for the exams.

Answer

The student did not prepare for the exams.