Question

Учитель принес в класс 87 тетрадей и раздал их поровну ученикам . сколько тетрадей получил каждый ученик и сколько учеников в классе? ( по теме делители и кратные ) решение задачи по математике

Answer 1

87 делится на 3 без остатка 87/3=29 человек Ответ. в классе 29 человек, им раздали по 3 тетради

Answer 2

Problem Analysis

To solve this problem, we need to find the number of notebooks each student received and the total number of students in the class. We are given that the teacher brought 87 notebooks and distributed them equally among the students.

Solution

Let's assume that there are x students in the class. Since the teacher distributed the notebooks equally, each student received the same number of notebooks. Therefore, we can set up the following equation:

87 / x = y

Where y represents the number of notebooks each student received.

To find the value of x, we can solve this equation for x. We can do this by multiplying both sides of the equation by x:

87 = x * y

Now, we need to find the factors of 87 that satisfy this equation. The factors of 87 are 1, 3, 29, and 87. We can substitute these values into the equation to find the number of students and the number of notebooks each student received.

Let's go through each factor:

1. If we substitute 1 into the equation, we get: 87 = 1 * y This means that there is only one student in the class, and they received all 87 notebooks. However, this contradicts the given information that the notebooks were distributed equally among the students. Therefore, this is not a valid solution.

2. If we substitute 3 into the equation, we get: 87 = 3 * y Solving for y, we find that each student received 29 notebooks. Therefore, there are 3 students in the class.

3. If we substitute 29 into the equation, we get: 87 = 29 * y Solving for y, we find that each student received 3 notebooks. Therefore, there are 29 students in the class.

4. If we substitute 87 into the equation, we get: 87 = 87 * y Solving for y, we find that each student received 1 notebook. Therefore, there are 87 students in the class.

Based on the given information, the valid solution is that there are 3 students in the class, and each student received 29 notebooks.

Answer

Therefore, each student in the class received 29 notebooks, and there are 3 students in the class.