Analyze and list word problems of inequalities based on actual problems.

Collection of word problems on linear inequalities of one dollar

1. Mix 8 kilograms of type A candy with a price of 20 yuan per kilogram and several kilograms of type B candy with a price of 18 yuan per kilogram. In order to make the total price not exceed 400 yuan and the candies not be less than 15 kilograms, what is the maximum number of candies B that can be mixed? What is the minimum?

2. A middle school arranges dormitories for eighth-grade boarding students. If there are 4 people in each room, then 20 people cannot be accommodated. If there are 8 people in each room, then one room will be neither empty nor full. Find the number of dormitories. and the number of boarding students.

3. In order to reward the students who won the prize in the mathematics competition, a certain school bought a number of extracurricular reading books to give to them. If each person is given 3 books, there will be 8 books left; 5 books, and the last person got less than 3 extracurricular readings. Assume that the school bought m extracurricular readings, and x students won awards. Please answer the following questions:

(1) Express it with an algebraic expression containing x m;

(2) Find the number of winners in the school and the number of extracurricular reading materials purchased.

4. (2001 Jingmen City) There are 10 vegetable farmers, each of whom can grow There are 3 acres of type A vegetables or 2 acres of type B vegetables. It is known that type A vegetables can earn 5,000 yuan per mu, and type B vegetables can earn 8,000 yuan per mu. If the total income is not less than 156,000 yuan, it should be How to arrange personnel?

5. (2001 Shaanxi) The starting price of a taxi is 10 yuan (that is, if the driving distance is within 5km, you need to pay 10 yuan for the fare). After reaching or exceeding 5km, the fare will increase by 1.2 yuan for each additional 1km (for the part less than 1km) Calculated as 1km), if someone takes this kind of taxi and pays 17.2 yuan for the fare from A to B, what is the approximate distance from A to B?

6. (2002 Chongqing Municipal Government ) During the "World Cup" in Korea and Japan, a group of 56 Chongqing fans took taxis from the hotel to the stadium to cheer for the Chinese team. There are currently two taxi fleets, A and B. Team A has 3 fewer cars than team B. If all of them are arranged to take taxis, Each car of team A can seat 5 people. There are not enough cars. Each car can seat 6 people. Some cars are not full. If all the cars of team B are arranged to take 4 people, each car can seat 4 people. There are not enough cars. 5 people. If some cars are not full, Team A has taxis ( )

A. 11 cars B. 10 cars C. 9 cars D. 8 cars

7. (Jingzhou, 2001) On weekends, a company decided to organize 48 employees to take a boat trip to a nearby water park. The company first sent a person to understand the rental situation of the boats. The rental price list the person saw was as follows:

< p>Ship type Each limited number of people (people) Rental (yuan)

Large ship 5 3

Small ship 3 2

So, how to design a charter plan? Minimize the rent paid? (Overloading is strictly prohibited)

8. (2001 Anhui) A certain engineering team wants to recruit 150 workers of two types of work, A and B. The monthly wages of the workers of two types of work, A and B, are respectively are 600 yuan and 1,000 yuan. It is now required that the number of people in type B is not less than twice the number of people in type A. How many people can be recruited for each type of work A and B to minimize the monthly wages paid?

9. A certain plant is suitable for growing in mountainous areas with a temperature of 18°C ??to 22°C. It is known that for every 100m of elevation increase in mountainous areas, the temperature drops by 0.6°C. The average temperature at the foot of the mountain is now measured to be 22°C. , ask which part of the mountain is suitable for the plant to be planted (assuming the average altitude at the foot of the mountain is 0m).

10. Put 8 kilograms of type A candy with a price of 20 yuan per kilogram and a price of 20 yuan per kilogram. How many kilograms of Type B candies costing 18 yuan per kilogram are mixed together so that the total price does not exceed 400 yuan and the candies are not less than 15 kilograms. What is the maximum number of Type B candies that can be mixed? What is the minimum?

11. A shopping mall purchases m pieces of a certain product, sells 65% of all the products at a price increase of 30 yuan for each piece, and then reduces the price by 10%, so that each piece can still make a profit of 18 yuan. Sold another 25% of all merchandise.

(1) Try to find the purchase price and first selling price of the product;

(2) In order to ensure that the total profit of this batch of products is not less than 25%, the remaining How much should the selling price of the product be?

12. (2001 Anhui) A certain engineering team wants to recruit 150 workers of two types of work, A and B. The monthly wages of workers of two types of work are 600 yuan and 1,000 yuan respectively. B is now required to The number of people in type A is not less than twice the number of people in type A. How many people can be hired for type A and type B to minimize the monthly wages?

13. A company went to a fruit base to purchase a certain high-quality fruit to express condolences to medical workers. The fruit base adopted two sales plans for customers who purchased more than 3,000kg (inclusive).

Plan A: 9 yuan per kilogram, door-to-door delivery from the base; Plan B: 8 yuan per kilogram, shipped back by the customer by renting a car. It is known that the company's rental car transportation cost from the base to the company is 5,000 yuan.

(1) Write down the functional relationship between the payment amount y (yuan) of the company's two purchase plans and the amount of fruit purchased x (kg), and write down the selection of the independent variable x Value range.