Question

Студент за 5 лет учёбы сдал 31 экзамен. В каждом следующем году он сдавал больше, чем в предыдущем. На 5-м курсе экзаменов втрое больше, чем на 1-м. Может ли он сдавать на 4-м курсе 8 экзаменов?да или нет с объяснением

Answer 1

Легко определить, что на 1 курсе он сдавал 3 экзамена, а это значит,что на 5 курсе 9 экзаменов.Остаётся два варианта распределения числа экзаменов на остальных курсах 4+7+8 и 5+6+8, поэтому на 4 курсе он сдал 8 экзаменов, а на 3 курсе 6 или 7 экзаменов.

Answer 2

Can the student take 8 exams in the 4th year of study?

The student has been taking an increasing number of exams each year, with three times as many exams on the 5th year compared to the 1st year. However, we need to determine if it is possible for the student to take 8 exams in the 4th year.

To calculate the number of exams the student took in each year, we can use the information given. Let's break it down:

- The student took a total of 31 exams over 5 years of study. - In each subsequent year, the student took more exams than in the previous year. - The number of exams on the 5th year is three times the number of exams on the 1st year.

To find the number of exams taken in each year, we can set up an equation:

Let x be the number of exams taken in the 1st year. - The number of exams taken in the 2nd year would be x + 1. - The number of exams taken in the 3rd year would be x + 2. - The number of exams taken in the 4th year would be x + 3. - The number of exams taken in the 5th year would be 3x.

The total number of exams over 5 years is 31, so we can set up the equation:

x + (x + 1) + (x + 2) + (x + 3) + 3x = 31

Simplifying the equation:

7x + 6 = 31 7x = 25 x = 25/7

The value of x is not an integer, which means the number of exams taken in the 1st year is not a whole number. This implies that the given information is not consistent or there may be missing information.

Therefore, based on the given information, it is not possible to determine if the student can take 8 exams in the 4th year.