Question

Для учеников были куплены тетради. Если каждому дать по 9 тетрадей , то не хватило бы тетрадей 7 ученикам , а потому каждый третий получил по 8 тетрадей и тогда осталось ещё 16 тетрадей. Сколько было куплено тетрадей и сколько учеников в классе ???

Answer 1

Пусть х -учеников в классе, тогда (9х - 7) кол-во тетрадей или (8х+16) тетрадей 
9х-7=8х+16 
х=23 
23 ученика в классе, а тетрадей 23*9-7=200

Answer 2

Problem Analysis

We are given that notebooks were purchased for students in a class. If each student is given 9 notebooks, there would be a shortage of 7 notebooks for 7 students. As a result, every third student received 8 notebooks, leaving 16 notebooks remaining. We need to determine the total number of notebooks purchased and the number of students in the class.

Solution

Let's assume the total number of notebooks purchased is N and the number of students in the class is S.

1. If each student is given 9 notebooks, the total number of notebooks distributed would be 9 times the number of students: 9S. 2. Since there is a shortage of 7 notebooks for 7 students, the total number of notebooks distributed would be 9S - 7. 3. If every third student received 8 notebooks, the number of students who received 8 notebooks would be S/3. 4. The remaining students (2 out of every 3) received 9 notebooks. 5. The total number of notebooks distributed can also be calculated as (8 * (S/3)) + (9 * (2S/3)). 6. Since the remaining notebooks