Current location - Loan Platform Complete Network - Loan intermediary - Find the application problem of linear equations above 10!
Find the application problem of linear equations above 10!
Application exercises 1

China won 9 1 medals in the 2004 and 1988 Olympic Games, of which 7 medals were twice as many as those in 2004 1988. Q: 1988 How many medals did China win?

2. A tractor plowed a field. On the first day, it plowed a quarter of the land, on the second day, it plowed a fifth of the land, on the third day, it plowed 65,438+00 mu, and on the fourth day, it plowed a third of the land. At this time, there are still 3 acres of uncultivated land. How many acres is this land?

In order to make the 2008 Beijing Olympic Games a green Olympic Games, students from No.5 Middle School and No.10 Middle School took an active part in the greening project. The two schools * * * have 290 mu of green land, and the green area of No.10 Middle School is less than that of No.5 Middle School 10 mu. How many areas have these two middle schools afforested respectively?

There are 45 students in Class A and 39 students in Class B. Now we need to transfer some students from Class A and Class B to participate in the singing competition. If the number of people transferred from Class A is more than that transferred from Class B 1, then the remaining number of people in Class A is exactly twice that of Class B. Ask how many people from Class A and Class B took part in the singing contest.

5. I want to buy Fuwa in Gongmei Building, leaving home 12km. I decided to take a taxi in order to get to my destination as soon as possible. The starting price of taxis is 3km 10 yuan. After 3km, 2 yuan will be charged for each kilometer (if it is less than 1km, it will be calculated as 1km; Regardless of the waiting time. If I plan to take a taxi, the total cost will not exceed 26 yuan's money. Please help me calculate whether I can take a taxi directly to Gongmei Building.

6. The taxi fare standard in a certain place is: starting price 10 yuan (that is, if the driving distance does not exceed 4 kilometers, it must be paid 10 yuan). After exceeding 4km, each additional 1 km will be charged 1.2 yuan (if it is less than 1 km, it will be calculated as 1 km). Someone paid the fare of 16 yuan when he got off the taxi, so how many kilometers did he walk by taxi at most (excluding waiting time)?

7. Mobile phone "Shenzhouxing" service, 10 yuan can be used for 500 minutes, and then 0.60 yuan per minute. If I plan that the monthly mobile phone answering fee will not exceed that of 25 yuan, how many minutes can I answer the phone at most?

8. A shopping mall marks a backpack at 50% of the purchase price, and then sells it at a 20% discount (80% of the marked price), so that every shopping mall sells a backpack, it can make a profit in 8 yuan. What is the purchase price of this schoolbag?

9. The store adjusts the price of goods and sells them at 20% of the original price. At this time, the profit rate of the commodity is 10%, and the purchase price of the commodity is 1600 yuan. What is the original price of the goods?

10. A store sells discount cards. When 20 yuan buys this card, she can shop in this store at a 20% discount. Gao Xiao saved 5 yuan money by buying a card. What is the total price (original price) of shopping in Gao Xiao?

Application exercise 2

1. There are 150 students planting trees in a certain grade. Boys dig two tree pits every day on average, and girls plant four trees every day on average, which is just enough for each tree pit to plant trees. How many boys and girls are there in this grade?

2. Weight of a barrel of oil 12kg. After pouring out half of the oil, the remaining oil and barrel weigh 7kg. How many kilograms of oil is in the original barrel and how many kilograms does the barrel weigh?

3. If the sum of the two angles is 130 degrees and the difference between the two angles is 10 degrees, find the degrees of the two angles.

4. The original price of a commodity is 33 yuan. The store adjusts the price of goods and sells them at 10% of the original price. At this time, the profit rate of goods is 10%. What is the purchase price of this commodity?

5. There are 64 workers and 38 workers in Workshop A and Workshop B respectively, so it is necessary to transfer the same number of workers from the two workshops, so that the number of remaining workers in Workshop A is twice that of Workshop B, and the number of workers exceeds 3. How many workers need to be transferred from workshop A and workshop B respectively?

6. Xiaoli's mother deposited some cash in the bank with an annual interest rate of 2.25% and a deposit period of one year. At maturity, the bank withheld 20% interest tax, and actually earned interest 90 yuan. What is the principal of this deposit?

7. Xiaoli's mother saved 5,000 yuan in the bank for a year, and the bank withheld 20% interest tax when it was due, which actually earned 90 yuan. What's the annual interest rate of this deposit?

8. Xiaoli's mother deposited some cash in the bank with an annual interest rate of 2.25% and a deposit period of one year. The bank withholds interest tax at maturity 18 yuan, and actually earns interest in 72 yuan. What is the principal of this deposit?

9. This is a list of deposit interest due within one year, but some places are polluted. Can you make up a question based on the information?

10. Xiaoli's mother deposited some cash in the bank, with an annual interest rate of 1.98% and a deposit period of one year. At maturity, the bank withholds 20% interest tax. The bank withholding interest tax at maturity is 3.96 yuan. What is the principal of this deposit?

Application exercise 3

1.a, b distance 15km. A walks 5 kilometers per hour, and B walks 4 kilometers per hour. A and B leave from A and B at the same time, face to face. They will meet in a few hours.

2. the distance between a and b is 15km. A walks 5 kilometers per hour, and B walks 4 kilometers per hour. A and B go in opposite directions from A and B respectively. A starts earlier than b 1 hour. How many hours later will they meet?

The distance between a and b is15km. A walks 5 kilometers per hour, and B walks 4 kilometers per hour. A and B set out from A and B at the same time and walked back to each other. A few hours later, they were 60 kilometers apart.

A middle school student walks to a place to participate in social welfare activities, walking 4 kilometers per hour. Thirty minutes after the departure, the school sent a messenger to catch up with the team at a speed of 12 km/h and asked how long it would take the messenger to catch up with the student team.

5. A middle school student walks to a place to participate in social welfare activities, 4 kilometers per hour. Thirty minutes after the departure, the captain sent the messenger back to the school to get the important letters at the original speed of 8 km/h, and then caught up with the team at the speed of 12 km/h, asking the messenger how long it would take to catch up with the student team after getting the letters.

6. the distance between a and b is 15km. A walks 5 kilometers per hour, and B walks 4 kilometers per hour. A and b go in the same direction from a and b respectively.

Some words in this question are stained. Please finish this problem and solve the equation in parallel.

7. Party A and Party B practice short distance running, with Party A running 7.5 meters per second and Party B running 7 meters per second. If Party B runs first 1 sec, how many seconds can Party A catch up with Party B?

8. Party A and Party B walk in opposite directions from two places 32 kilometers apart. Party A walks for 4 kilometers per hour, 1 hour later, Party B meets Party A two hours later and asks Party B how many kilometers per hour he rides.

9. Party A works alone for 20 hours, and Party B works alone for 12 hours. Now Party A works alone for 4 hours, and the rest is done by both parties ... How many hours does it take to complete the rest?

10. A job is completed by Party A alone for 20 hours and Party B alone for 12 hours. Now Party A will do it for 4 hours alone, and Party A and Party B will do the rest. How many hours will it take to finish the rest?

It takes 3 hours and 5 hours for Team A and Team B to finish a certain job respectively. How many hours does it take two people to do 80% of the work together?

11.team a 15 days to complete a project, team b 9 days, now team a will work for 3 days first, and the rest will be completed by team a and team B. How many days will it take?

12. It takes 20 days and 25 days for two engineering teams, A and B, to lay a section of pipeline respectively. Xianyoujia team

It will take five days to lay, and the rest will be laid by two teams. How many days will it take?

13. To build a highway, it takes 80 days for Team A to contract alone, and it takes 120 days for Team B to contract alone. Now it is contracted by two engineering teams. If Team A and Team B cooperate for 30 days, because Team A has other tasks and the rest is done by Team B, how many days will it take to build this road?

14. To build a highway, it takes 80 days for Team A to contract alone, and it takes 120 days for Team B to contract alone. Now, two engineering teams cooperate to contract. How many days can it be finished?

15. there are 64 workers in workshop a and 38 workers in workshop B. Now it is necessary to transfer the same number of workers from two workshops, so that the number of remaining workers in workshop A is twice that of workshop B, and the number of workers exceeds 3. How many workers need to be transferred from workshop A and workshop B respectively?

16. A shopping mall increased the price of a backpack by 50% according to the purchase price, and then sold it at a 20% discount (80% of the price), so that the shopping mall can make a profit from every bag sold. What is the purchase price of this schoolbag?

17. I want to buy Fuwa in Gongmei Mansion and leave home12km. I decided to take a taxi in order to get to my destination as soon as possible. Taxi fare at 3km 10 yuan. After driving for 3 kilometers, the 2 yuan will be charged for each kilometer (if it is less than 1 km, it will be calculated as 1 km; Regardless of the waiting time. If I plan to take a taxi, the total cost will not exceed 26 yuan's money. Please help me calculate whether I can take a taxi directly to Gongmei Building.

18 A store sells discount cards. When 20 yuan buys this card, she can shop in this store at a 20% discount. Gao Xiao saved 5 yuan money by buying a card. What is the total price (original price) of shopping in Gao Xiao?

19. Today there are chickens and rabbits in the same cage, with 26 heads above and 72 feet below. What are the geometric shapes of chickens and rabbits?

20. I heard that someone next door shared money, but I don't know the number. All I know is that five taels per person is more than six taels, and six taels per person is less than five taels. How many people do you have and how much money do you have?

2 1. Logging with rope, if the rope is 30% folded, the rope will be five feet more; If the rope is measured by 40% off, what is the size of the rope, the length of the rope and the depth of the well?

22. The story of Arabian Nights: A flock of pigeons, some singing in the trees, some foraging on the ground. A pigeon in the tree said to the pigeons foraging on the ground, "if one of you flies, the number of pigeons under the tree is three times that of the whole flock;" If one flies down from the tree, there will be as many pigeons on the tree as under it. "Do you know how many pigeons are on and under the tree?

23. There are * * * shopping today, and people pay eight and earn three points; Seven out of seven, less than four. Ask the number of people and the price geometry?

24. There is an acre of good land today, and the price is 300; Seven acres of evil land, the price is 500. Now I'll buy a hectare at a price of 10 thousand. The geometry of good land and evil land? (

1. At the end of the line, the headmaster asked a student to run to the front of the line and ask the team leader to convey an instruction, and then immediately returned to the end of the line. The raw speed is 12 km/h, and it takes 7.2 minutes from the end of the line to the end of the line and back to the end of the line. * * * How long is the student team?

2.A and B are running on the 400-meter circular track. It is known that A is faster than B. If you start from the same place and run in the same direction, you will meet once every 3 minutes and 20 seconds. If they run in opposite directions, they will meet in 40 seconds. How many meters do you run in a second?

From a to b, the bus used to take seven hours. After the opening of expressway, the average speed has increased by 20 kilometers per hour, and it only takes 5 hours to get there, thus finding out the distance between A and B. 。

4. A group of students go off-campus for training. They traveled at a speed of 5 km/h and walked for 18 minutes. The school should send an urgent notice to the team leader. The correspondent started from the school and chased the students by bike at the speed of14 km/h. How long will it take the correspondent to catch up with the students?

The distance between a and b is 64 kilometers. A starts from A at a speed of 14 km, and B starts from B at a speed of 18 km. (1) If two people leave at the same time, how many hours will it take to meet? (2) If two people start at the same time and go in opposite directions, how many hours will it take for them to be 16km apart? (3) If A is in front and B is behind, and both of them walk in the same direction at the same time, how many hours will B exceed A 10 km?

6. On the expressway, a car with a length of 5m and a speed of 1 10km/h will overtake a big car with a length of 15m and a speed of100 km/h. Can the car overtake? If yes, how long will it take?

7. On the rest day, my brother and mother set out from home to grandma's house together. After they left 1 hour, my brother found that he had left the gift for his grandmother at home, so he immediately took the gift and chased it at a speed of 6 kilometers per hour. If my brother and my mother walk 2 kilometers every hour, it will take them 1 hour and 45 minutes to get from home to grandma's. Can he catch up with his brother and mother before they arrive at grandma's house?

8. Someone rode a bike from place A to place B at a speed of 10 km per hour. When I came back, I walked 8 kilometers more than when I went because I had a detour. Although the speed is increased to 12 km per hour, it takes 10 minutes longer than he does to find the distance between A and B.

Last year, the depositor's deposit in a savings office was 46 million yuan. Compared with last year, this year's time deposits increased by 20% and demand deposits decreased by 25%, but the total deposits increased by 65,438+05%. What time deposits and current deposits are there this year?

10. Dad saved Xiaoming's education savings for three years (with an annual interest rate of 2.7%). After three years, he can withdraw 5405 yuan. So how much did he save at first?

1 1. Xiaoli's father deposited a two-year time deposit with an annual interest rate of 2.25% the year before last. After the expiration of this year, 20% interest was deducted as interest tax, and the interest just bought Xiaoli a calculator worth 36 yuan. How much did Xiaoli's father save the year before last?

12. A store chooses two kinds of sweets from 28 yuan and 20 yuan per kilogram to mix into mixed candy for sale. In order to make the price of this mixed candy per kilogram of 25 yuan, it is necessary to distribute this mixed candy over 100 kg. How many kilograms do these two kinds of sweets need?

13. After a commodity is purchased, the retail price is set at 900 yuan per piece. In order to adapt to the market competition, the store will reduce the retail price and let it go 10% for sale in 40 yuan, and still have a profit of 10% (relative to the purchase price). What is the purchase price of this commodity?

14. The store adjusts the price of goods and sells them at 20% of the marked price. At this time, the profit rate of the commodity is 10%, and the purchase price of the commodity is 1600 yuan. What's the list price of this commodity?

15. Someone bought 10 pieces of a commodity in Guangzhou at the price of 15 yuan, and later bought 40 pieces of the same commodity from Shenzhen at the price of 12.5 yuan. If the store wants to make a profit of 12% when selling these goods, what should be the price of each piece of this commodity?

16. A store first increases the original price of a certain color TV by 40%, and then writes "big reward, 20% discount" in the advertisement. After the customer complains, the law enforcement department will impose a fine of 2700 yuan per set according to 10 times of the illegal income. Find out the price of each color TV.

17. Party A has eight more exercise books than Party B. If Party A gives one-third of his exercise books to Party B, then Party A has four fewer exercise books than Party B. How many exercise books does Party A and Party B have?

18. In the football match of middle school students in this city, a * * * team participated in 8 games, keeping an unbeaten record, with the score of 18. The scoring rules are: 3 points for winning a game, 1 point for drawing a game, and 0 point for losing a game. Do you know how many games this has won? How many times have you smoked?

19.3 12 is Arbor Day. A school planted two kinds of trees, poplar and fir. It is understood that the number of poplar trees planted is 56, accounting for more than half of the total, and the number of fir trees is 14, accounting for less than one third of the total. How many trees have been planted in these two kinds of trees?

20. A city collects gas fees according to the following provisions: if the gas consumption does not exceed 60 cubic meters, it will be charged according to the 0.8 yuan per cubic meter; If it exceeds 60 cubic meters, the excess will be charged per cubic meter 1.2 yuan. It is known that Xiaoming's gas bill averaged 0.88 yuan per cubic meter in February, so how much gas bill should his family pay this month?

2 1. Someone undertook to make a batch of parts. It was originally planned to make 40 pieces a day, and the task can be completed as scheduled. Due to the improvement of technology, the work efficiency has increased by 20%. Results Not only 16 days ahead of schedule, but also 32 pieces were overfulfilled. How many days should it be completed? How many parts do you plan to produce?

22. In the calendar, circle four numbers with a square. Can the sum of these four numbers be 78?

23. The following table is the price list of a photo studio. Today is the first anniversary of opening, and both negative film development and photo development are 20% off. Xiaoying took a roll of negative and developed some photos with "fabric" paper, and paid after the discount.

project cost

Film development fee 3 yuan/roll

(Fabric) photo printing fee is 0.50 yuan/sheet.

16.8 yuan. How many photos did Xiaoying develop?

24. Taxis in a certain city have different charging standards due to different models: A-type starting price 10 yuan, after 3 kilometers, every kilometer 1.2 yuan; The starting price of type B car is 8 yuan, and the price per kilometer after 3 kilometers is 1.4 yuan.

(1) If you want to take a taxi to a place 20 kilometers away, what kind of taxi should you take from the perspective of saving money?

(2) Would you please calculate the price difference of X (x(x>3) kilometers between Type A and Type B taxis?

25. A school organizes students to have a spring outing. If more than 45-seat buses are rented, 15 people have no seats. If you rent the same number of 60 buses, there will be an extra 1 bus, and the rest will be full. It is understood that the daily rent for renting a 45-seat bus is 250 yuan, and for renting a 60-seat bus is 300 yuan. What kind of bus is more cost-effective, and how many cars?