No more than 25 people, with a per capita income of 654.38+10,000 yuan. If there are more than 25 people, the per capita cost will be reduced by 20 yuan for each additional person, but the per capita

No more than 25 people, with a per capita income of 654.38+10,000 yuan. If there are more than 25 people, the per capita cost will be reduced by 20 yuan for each additional person, but the per capita cost will not be lower than that of 700 yuan. The answer is that the district government has 30 model workers traveling to Huangshan in this activity.

According to the fact that the number of people does not exceed 25, the per capita travel expense is 1000 yuan, and the travel expense paid by * * * to this travel agency is 27,000 yuan, two conditions can be obtained: the total number of model workers must exceed 25.

The data shows that if the number of people exceeds 25, the per capita travel expenses will be reduced by 20 yuan for every increase of 1 person, but the per capita travel expenses shall not be lower than that of 700 yuan. This condition can be obtained as follows: (1000-700)/20 =15,25+15 = 40, that is, when the total number of model workers exceeds 40, the per capita travel expenses are 700 yuan, but 700 * 40 = 28,000 yuan is 270.

Therefore, let the total number of labor models be x, and the equation can be obtained according to the three conditions in this question:

X[ 1000-20(x-25)]=27000, which can be obtained by expansion, and x( 1000-20x+500)=27000, which can be simplified:

1000x-20x？ +500x=27000, which means -20x? +1500x=27000, move the left side of the equation to the right side of the equal sign to get: 20x? -1500x+27000=0, which is about 20: x? -75x+ 1350=0, after decomposition:

(x-30)*(x-45)=0, x=30 or x=45 can be solved.

According to the above conclusion, the number of model workers is more than 25 and less than 40, so it can be judged that x=30 is the answer that meets the question.