Who has a column inequality or inequality group in senior one to solve application problems should have an answer, thank you.

1. Mix 8 kilograms of sugar A from 20 yuan with several kilograms of sugar B at a price of per kilogram 18 yuan, so that the total price will not exceed that of 400 yuan, and the candy will not be less than 15 kilograms. B what's the maximum dosage of sugar? What's the minimum?

2. A middle school arranges dormitories for boarding students in 8th grade. If there are 4 students in each room, then 20 students can't be arranged. If there are 8 students in each room, then a room is not empty and dissatisfied. Find the number of dormitory rooms and boarding students.

In order to reward the students who won the prize in the math contest, a school bought some extracurricular reading materials for them. If each person gives three books, there are still eight left. If the first person gives five books and the last person gets less than three extra-curricular books, assuming that the school buys m extra-curricular books and X students win prizes, please answer the following questions:

(1) m is represented by an algebraic expression containing x;

(2) Understand the number of school winners and the number of books bought after class.

4. Jingmen City has 10 vegetable farmers (200 1), and each vegetable farmer can grow 3 mu of Class A vegetables or 2 mu of Class B vegetables. It is known that each mu of Class A vegetables can earn 5,000 yuan and Class B vegetables can earn 8,000 yuan. If the total income is not less than156,000 yuan, how should the staff be arranged?

5.(200 1 Shaanxi) The starting price of taxis is 10 yuan (that is, it needs to be paid within 5km 10 yuan). After reaching or exceeding 5km, increase the price by 1km (the part less than 1km is counted as 1km).

6. (Chongqing, 2002) During the World Cup between Korea and Japan, a group of 56 Chongqing fans took a taxi from the hotel to the stadium to cheer for the China team. At present, there are two taxi teams, Team A and Team B. Team A has three fewer cars than Team B. If all the cars of Team A are lined up, each car will take five people. If there are not enough cars, each car will take six people, and some cars are not full. If all the buses of Team B are arranged, each bus will take 4 people. If it is not enough, each bus will take 5 people. If some buses are not full, then Team A has a taxi ().

a . 1 1 b . 10 c . 9d . 8。

7.(200 1 Jingzhou) On the weekend, a company decided to organize 48 employees to take a boat trip to the nearby water park. First, the company sent a person to find out the rent of the ship. The rent list that this person saw is as follows:

Number of people per ship (person) rent (yuan)

Big ship 5 3

Ship No.3, No.2

So, how to design a charter scheme to minimize the rent paid? (Overloading is prohibited)

8.(200 1 Anhui) An engineering team wants to recruit two types of workers 150, and the monthly wages of the two types of workers are 600 yuan and 1000 yuan respectively. At present, the number of Class B workers is required to be not less than twice that of Class A. Ask how many workers Class A and Class B recruit, and you can pay them monthly.

9. A certain plant is suitable to grow in the mountainous area where the temperature is 18℃ ~ 22℃. It is understood that for every elevation increase of 100 meters in mountainous areas, the temperature drops by 0.6℃, and now the average temperature at the foot of the mountain is 22℃. Ask where plants are suitable to grow in the mountain (assuming that the average elevation at the foot of the mountain is 0m).

10. Mix 8 kilograms of sugar A from 20 yuan with several kilograms of sugar B at the price of per kilogram 18 yuan, so that the total price will not exceed that of 400 yuan, and the candy will not be less than 15 kilograms. B what's the maximum dosage of sugar? What's the minimum?

1 1. When the mall buys m pieces of a certain commodity, the price of each piece is increased by 65% of all the goods sold in 30 yuan, and then the price is reduced by 10%, then each piece can still make a profit 18 yuan, and 25% of all the goods are sold.

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

(2) In order to ensure that the total profit of this batch of goods is not less than 25%, what should be the price of the remaining goods?

12, (200 1 Anhui) An engineering team wants to recruit two types of workers 150, and the monthly wages of the two types of workers are 600 yuan and 1000 yuan respectively. Now the number of Class B workers is required to be no less than twice the number of Class A workers. When asked how many people Class A and Class B workers recruit respectively,

13. A company went to a fruit base and bought some high-quality fruits to express condolences to medical workers. The fruit base has adopted two sales schemes for customers who buy more than 3000kg (including 3000kg).

Scheme A: Each kilogram of 9 yuan is delivered from the base to the door; Scheme B: Each kilogram of 8 yuan is transported back by the customer by car. It is understood that the transportation fee for renting a car from the base to the company is 5000 yuan.

(1) Write the functional relationship between the payment amount y (yuan) and the fruit quantity x (kg) of the two procurement schemes of the company, and write the value range of the independent variable x..

(2) When the purchase amount is in what range, which purchase scheme should be chosen to pay the least? And explain why.

14, (Jiamusi) Company A deals in two commodities, A and B. The purchase price of each commodity is120,000 yuan, and the price is1450,000 yuan. The purchase price of each commodity is 80 thousand yuan, and their purchase price and selling price are always the same. Now we want to buy both kinds of goods.

(1) What purchasing schemes does the company have?

(2) What kind of procurement scheme can the company adopt to obtain the maximum profit? What is the maximum profit?

(3) Use the maximum profit obtained in (2) to buy again. Please write the purchase plan directly to get the maximum profit.

15, (Suzhou) Suzhou is located on the shore of Taihu Lake and is rich in aquaculture resources. Uncle Li, an aquaculture farmer, is going to polyculture hairy crabs and river shrimps. He learned the following information:

(1) The annual rent per mu of water surface is 500 yuan, and the water surface needs to be rented for the whole mu;

② At the beginning of the year, 4 kg of crab fry and 20 kg of shrimp fry can be mixed into each mu of water surface;

(3) The price of crab seedlings per kilogram is 75 yuan, and the feeding cost is 525 yuan, and the income can be obtained in that year 1 400 yuan;

④ The price per kilogram of shrimp is 15 yuan, the feeding cost is 85 yuan, and the annual income is 160 yuan.

(1) If the water surface rents N mu, the annual rent * * * is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

(2) The aquaculture cost includes the annual rent on the water surface, the fry and feeding expenses, and the annual profit of mixed culture of crabs and shrimps per mu of water surface (profit = income-cost);

(3) Uncle Li has 25,000 yuan, and he is going to borrow no more than 25,000 yuan from the bank for mixed culture of crabs and shrimps. As we all know, the annual interest rate of bank loans is 8%. How many acres of water does Uncle Li have to rent and borrow from the bank, so that the annual profit can exceed 35,000 yuan?

16, the owner of (Harbin) Shuangrong Clothing Store went to the factory to buy two kinds of clothes, type A and type B. If he bought nine pieces of clothes of type A and type B, he needed18 10 yuan. If you buy 12 pieces of A-type clothes and 8 pieces of B-type clothes, you need 1 880 yuan.

(1) How much is each piece of clothing A and B?

(2) If you sell 1 piece of A-type clothing, you can get 18 yuan, and if you sell 1 piece of B-type clothing, you can get 30 yuan. According to the market demand, the clothing store owner decided that the number of type A clothing is twice that of type B clothing, and there can be up to 28 pieces of type A clothing, so that the total profit after all the clothes are sold is not less than 699 yuan. How to purchase goods?

17, (Henan) In order to expand its business, a company decided to buy six machines to produce some kind of piston. There are two kinds of machines to choose from. The price of each machine and the number of pistons produced by each machine every day are shown in the following table. After the budget, the cost of buying the machine this time can't exceed 340 thousand yuan.

Jiayi

Price (ten thousand yuan/set) 7 5

Daily output per unit (unit) 100 60

(1) According to the company's requirements, how many purchasing schemes can there be?

(2) If the daily production capacity of six machines purchased by the company cannot be less than 380, which scheme should be chosen to save money?

18, a store needs to buy a batch of TV sets and washing machines. According to market research, it is decided that the purchase amount of TV sets should not be less than half of the purchase amount of washing machines. The purchase price and selling price of TV sets and washing machines are as follows:

Classified TV washing machine

Purchase price (RMB/set) 1800 1500

Price (RMB/set) 2000 1600

It is planned to purchase *** 100 TV sets and washing machines, and the store can raise up to 16 1 800 yuan.

(1) Could you please help the store calculate how many kinds of purchase plans there are? (Other expenses other than the purchase price are not considered)

(2) After the store sells the purchased TV sets and washing machines, which purchase scheme will get the most profit? And get the maximum profit. (Profit = selling price-buying price)

RoyceWong, a fruit grower in Baiyu Village, Jiangyou, a "national civilized village" in Mianyang City, harvested 20 tons of loquat and 0/2 tons of peach/kloc. At present, it is planned to rent eight A and B trucks to transport all these fruits to other places for sale. It is known that A truck can hold 4 tons of loquat and 1 ton of peach, and B truck can hold 2 tons of loquat and peach respectively.

(1) How does RoyceWong arrange for A and B trucks to be transported to the sales place at one time? How many schemes are there?

(2) If the transportation cost of each class A truck is 300 yuan and the transportation cost of each class B truck is 240 yuan, which scheme does the fruit farmer choose to have the smallest transportation cost? What's the lowest freight?

20. In 2007, in order to prepare for the 20th anniversary celebration of a county in our city, the garden department decided to use the existing 3490 pots of A-shaped flowers and 2950 pots of B-shaped flowers to place 50 pots on both sides of Yingbin Avenue. It is known that 80 pots of A-type flowers, 40 pots of B-type flowers, 50 pots of A-type flowers and 90 pots of B-type flowers are needed to match a model.

(1) The extracurricular activity group of Class 9 (1) in a school undertook the design of this gardening modeling collocation scheme. How many matching schemes are there? Please help design it.

(2) If the cost of matching a model is 800 yuan and the cost of matching a model is 960 yuan, please explain which scheme in (1) has the lowest cost? How much is the minimum?

Mobile phone models a, b and c

Purchase price (unit: yuan/department) 90012001100.

Pre-sale price (unit: yuan/department)120016001300

2 1. A mobile phone dealer plans to purchase 60 models of a brand A, B and C, and each model must purchase at least 8 models, and the purchase price is exactly 6 1000 yuan. Assume that X model A and Y model B are purchased. The purchase price and pre-sale price of the three models are as follows:

(1) Use the formula containing x and y to express the purchase quantity of Class C mobile phones;

(2) Find the functional relationship between y and x;

(3) Assuming that all the purchased mobile phones have been sold, mobile phone dealers need to pay various extra fees in the process of buying and selling these mobile phones *** 1500 yuan.

(1) Find the functional relationship between the expected profit p (yuan) and x (part); (Note: Estimated profit p = total pre-sale amount-purchase price-various expenses) ② Find the maximum estimated profit and write down how many mobile phones you bought at this time.

22. It takes 120km for flood fighting and emergency materials to be transported to dangerous sections. It takes 65,438+0 hours to deliver them. There is 50km left in the first half hour. How soon can it be delivered in time in the second half hour?

23. A cinema is open to students in the summer vacation, and each ticket is 2 yuan. In addition, you can sell 300 ordinary tickets to 5 yuan every time. If you want to keep the box office income at least 2000 yuan each time, how many discount tickets should you sell each time?

24. The fruit shop bought 1t China fruit at the purchase price of 7 yuan/kg. The price is set at 10 yuan/kg. Half sold, in order to sell out as soon as possible, ready to sell at a discount. If the total profit is not less than 2000 yuan, then the remaining fruits can be sold at a discount at the original price.

During the Mid-Autumn Festival, apples are very popular. A merchant buys a batch of apples at the price of 1.5 yuan per kilogram, and there is 6% loss of apples in the sales. Merchants should at least set the price per kilogram so as not to lose money.

26. The headmaster of Sunshine Middle School is going to lead the school's "three good students at the municipal level" to travel to Qingdao in the summer vacation. A travel agency said, "If the principal buys a full ticket, the rest of the students will enjoy a half-price discount." B Travel Agency said, "All staff, including the principal, will enjoy a 60% discount on all tickets." If the full ticket to Qingdao 1000 yuan.

(1) Suppose the number of students is X, the fee charged by travel agency A is Y yuan, and the fee charged by travel agency B is Y yuan. Write the expense expressions of the two travel agencies respectively.

(2) Regarding the number of students X, which travel agency is more favorable?

27. A household coal company has tons of coal and burns tons of coal every day. It is now known that after three days of burning coal, the remaining 102 tons, and after eight days of burning coal, the remaining 72 tons. (1) Find the resolution function between the remaining tons of coal and the days of burning coal; (2) How many tons of coal are left after burning coal 12 days? (3) How many days is the coal expected to burn out?

28, a 20 cm long spring, one end fixed, the other end hanging objects. Within the limit that the extension length of the spring does not exceed 30cm, the spring will extend by 0.5cm for each object with the mass of 1㎏. If the mass of the object is x, the length of the spring is ycm.

(1), find the functional relationship between y and x, and draw the image of the function.

(2) What is the maximum mass of an object suspended by a spring?

29. When someone lights a candle with a length of 25㎝, it is known that the candle is shortened by 5㎝ per hour, and the remaining length of the candle after xh is set to y㎝. (1), find the functional relationship between y and x (2), and after several hours, the length of the candle is less than 10㎝?

30. A ship sailed from Port A to Port B at a speed of 20km/h, which was 160km away. Two hours later, a speedboat sailed from Port A to Port B at a speed of 40km/h.. List the functional relationship between the distance y km traveled by ships and speedboats and the time x h, and draw the image of this function in rectangular coordinate system. Observe the image and answer the following questions: (1) When is the boat in front of the speedboat? (2) When does the speedboat run in front of the boat? (3) Which ship sailed 60 kilometers first? Which ship passed 100km first?