An Olympic inequality problem: in the personnel recruitment work of an enterprise, a total of five exams were arranged to pass, and the score was 1 point, and the average score of 26 candidates was no

An Olympic inequality problem: in the personnel recruitment work of an enterprise, a total of five exams were arranged to pass, and the score was 1 point, and the average score of 26 candidates was not low. The answer is indeed 22 people. But,

The second layer is another way to solve the problem, although it also has some value. But this kind of question is not as complicated as what is said upstairs. My idea is:

1, several key conditions can be known from the title:

A. A total of 26 people;

B. if you pass one item, you will get one point, if you fail, you will get no point. That is to say, the sum of all lost points must be N× 1, which is an integer;

The average score of C is not less than 4.8, which means that the highest score is (5-4.8) × 26 = 5.2;

D the lowest score is 3 points, that is to say, if there are 3 points, at least 2 points should be deducted; And not less than 3 points, the highest score is 2 points;

E at least 3 people get 4 points, that is to say, at least 3 people each lose 1 point, totaling more than 3 points.

2. According to the above conditions:

F. combining b and c, it can be seen that the total score of the whole group is at most 5 points;

Subtract 3 points from E from 5 points in G.F, leaving 2 points; The remaining 2 points lost must be lost by the person who scored 3 points.

3. Based on the above, it is concluded that 1 person gets 3 points, 3 people get 4 points, so the rest are people with 5 points, totaling 26- 1-3=22 people; The actual average score is 5-5 ÷ 26 ≈ 4.5438+08.