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Jiangsu education edition mathematics sixth grade first volume application problem
Application problem: 1. Party A * * * has the first 2,000 yuan, and Party A gives half of it to Party B, and then Party B gives its own 1/3 to Party A, and then Party A gives its own 1/4 to Party B. At this time, Party B has more 650 yuan than Party A. How many are the first two people?

Huanhuan and Xinxin both like collecting stamps. Each of them has a few stamps. Huanhuan gave 1/6 to Xinxin, and Xinxin gave 1/5 to Huanhuan. At this time, each of them has 240 stamps. How many stamps do they each have?

Our school plants trees, among which poplars account for 5/9 of the total, and the rest are willows. Then I bought 20 poplars. This is a willow, and the ratio is 15: 1 1. How many trees have been planted in the school?

The park bought three kinds of saplings. Among them, pine trees account for 30% of the total, and the ratio of poplar to willow is 2: 5. As we all know, there are 40 more willows than pines. How many saplings did a * * * buy?

5. A canal with a length of 1000 km will be built in villages A, B and C, which will benefit the area after completion. The ratio of A village to C village is 3: 1, and 3/4 of B village is equal to 2/3 of A village. Villages are distributed according to the benefit area. How many kilometers each?

There are 840 students in our school. Among them, grades 456 account for 2/3 of the total. It is known that the ratio of students in grades 4 and 6 is 3: 5. Three quarters of the fifth grade is equal to two thirds of the fourth grade. How many people are there in the fourth grade?

7. A set of tables and chairs ***300 yuan, the price of chairs is 7/ 1 1. How much is each table and chair?

8. An operation was originally planned to be completed in 10 day, but it was actually completed in 8 days. How much has the working hours been shortened? How much has the work efficiency improved?

9. There is a bumper harvest of tomatoes in the orchard. When 3/8 of them were picked, some baskets were filled with more than 24 kilograms, and the rest were just filled with 6 baskets when they were picked. Ask * * * how many Jin of tomatoes are picked.

10. A factory has 1300 workers. If we transfer 1/8 male employees and recruit 500 female employees, it means that the number of male employees and female employees is equal. Q: How many people are employed in this factory?

1 1. Three students, A, B and C, do math problems. It is known that A does 6 more questions than B, C does 2 more questions than A and 22 more questions than B. How many questions did they do in one breath?

12. Each party has several books. If Party A gives Party B 45 books, their books are equal. If Party B gives Party A 45 books, the number of books of Party A is twice that of Party B, how many books do they each have?

13. The school has to pave a lawn of 60 square meters, and it has already paved 4/5 square meters. How many square meters are left?

14. The school wants to pave a 60-square-meter lawn, which has been paved for 4/5. How many square meters has it been paved? How many square meters are left?

15. The school wants to dig an 80-meter-long sewer. 1/4 was dug on the first day, and 1/2 was dug on the second day. How many meters have you dug in two days? How many meters are left?

16. There are two boxes of watercolor pens, and each box has 50 pieces. If you take out its110 and put it in box B, there are as many markers in the two boxes. How many watercolor pens are there in Box B?

17. A school conducted a survey on students' employment intentions. Among them, 3/4 students are boys, 1/20 boys want to be teachers, and 3/5 students in the school want to be teachers. So how many girls in the school want to be teachers?

18. Xiaoming read a story book. On the first day, he read 1/9 of the whole book, and the next day, he read 24 pages. The ratio of pages read in two days to remaining pages is 1: 4. How many pages are there in this book?

19. There are two baskets of apples weighing 44 kilograms. If 1 is poured from the first basket and 2.8kg is poured into the second basket, the apples in the two baskets are equal in weight. How many kilograms of apples are there in each basket?

20. Two road teams jointly built a 45-kilometer-long highway. When the task is completed, three-fifths of what Team A built is equivalent to three-quarters of what Team B built. How many kilometers have each team built?

2 1. There are 36 people reading in the school library, and girls account for 4/9. Later, several girls came. Now the number of girls is 3/4 of all the scholars. Then some girls came.

22. The clothing store bought two pieces of clothes at the same time, each of which earned 120 yuan, but one of them earned 20% and the other accompanied 20%. Did the two clothes sold by the clothing store make money or lose money?

23. Poplar, fruit tree and peach tree *** 1360. If poplars are reduced by 40%, fruit trees by 70% and peach trees are given 25% overtime pay, there will be as many as three kinds of trees. How many trees will there be per tree?

24. There was a big watermelon. Bajie ate 3/5 and Sha Ai ate the remaining half. Tang Ai and Wukong split the other half equally. How much did Wukong eat the whole watermelon?

25. There are four kinds of fruits in the basket, two kinds of fruits 1 apple, six kinds of fruits 1 pear, eight kinds of fruits 1 banana and1orange. How many fruits are there in the basket?

26. In an art class, the number of people absent from class in the morning is attendance 1, and two people take leave in the afternoon, so the number of people absent from class is attendance 1 1. How many people are there in this art office?

27. Red Star Primary School completed three-eighths of the plan on the first day, the remaining two-thirds on the second day and planted 495 trees on the third day. It turned out to be a quarter more than planned. How many trees were planned to be planted?

28. There are 62 red, yellow and blue balloons, of which three-fifths of the red balloons are equal to two-thirds of the yellow balloons, and there are 24 blue balloons. How many are Red Balloon and Yellow Balloon?

There are 36 students reading books in the school reading room, 4/9 of whom are female students. Later, several female students came. At this time, the number of female students accounts for 3/5 of the readers. Later, several female students came.

30. The master and the apprentice processed a batch of parts together. After processing for a while, the master processed 84 parts. The apprentice processed 63 parts. The master handles more than the apprentice, accounting for 1/28 of all tasks. How many parts are there in this batch?

3 1. Xiaoming reads a book. On the first day, he read 28 pages. The next day, he read 1/5 of the whole book. In two days, * * * read 3/8 of the whole book. How many pages are there in this book?

32. A batch of fertilizer weighs 200 tons. Team B gets 1/4 of the total, and the rest of the fertilizer is divided into 2:3 for teams A and B.. How many tons is the difference between the two teams?

33. Party A and Party B each have 560 tons of grain. If Party A gives 2/9 of the grain to Party B, the grain of both parties is exactly the same. How many tons do Party A and Party B have respectively?

34. Two trains leave from two stations at the same time. Car A travels 56 kilometers per hour, which is 7/8 of the speed of car B. After 2.5 hours, the distance between the two cars is still 35 dry meters. How many kilometers is the railway between the two stations?

35. It takes Wang Li 28 minutes to walk from home to school and 8 minutes to ride a bike. One day, he goes to school by bike. After walking for 3 minutes, his bike broke down, so he immediately changed to walking. How many minutes will he be late for the whole trip?

36. Two cars, A and B, leave from two places at the same time. Car A travels 40 kilometers per hour, which is 1/5 higher than car B. After 1.5 hours, the distance traveled is exactly 1/4. How many kilometers are the two places apart?

37. A road repair team planned to complete the road repair task in 8 days, and as a result, it completed 2/5 of the plan in the first 3 days. According to this calculation, how many days in advance can the road construction task be completed?

38. The car travels from A to B, the first day 1/4, and the second day 1/5. At this time, the remaining distance is more than the distance already traveled 120 km. How many dry meters is the remaining distance?

39. Two cars A and B are driving in opposite directions from two places 300 kilometers apart. After 2.5 hours, the difference between them is still 25%. It is also known that car A travels 47 dry meters per hour, and how many kilometers does car B travel per hour?

40. The distance between two cities is 1005 dry meters. A bus and a truck leave from these two cities at the same time. The speed of bus is 60 dry meters per hour, and the speed of truck is 3/4 of that of bus. How many hours after the two cars leave, there is still a distance of 60 kilometers?

4 1. A train from A to B traveled 55 kilometers in the first hour and 1/3 in the second hour, when the train just reached the midpoint between the two places. What's the distance between a and b?

42。 The length of the two wires is 242 meters. Cut the first wire 1/5 and connect it to the second wire 28 meters away. At this point, the lengths of the two wires are equal. How long is the first wire?

43. There are three workshops, A, B and C. The number of people in Workshop A is less than that in Workshop C14, and the number of people in Workshop C is 25% more than that in Workshop B. It is known that there are 90 people in Workshop A, so we need the number of people in Workshop B. ..

44. Xiaohua's age this year is 65438+ 0/4 of his father's age, and his father's age is 3/5 of his grandfather's age. Grandpa is 32 years older than Xiaohua's father. How old is Xiaohua this year?

45. A lead wire uses 3/8 of its total length for the first time, 2.2m for the second time and 5/6 for the second time. How many meters was used for the first time?

46. 1 block of wood, for the first time, 1/3 of the total length was used, and 3.5 meters were thrown away for the second time, and the ratio of the rest to the total length was 1: 4. How many meters are left in this forest?

47. A road repair team built a section of road. On the first day, the total length was 1/5 meters, and on the second day, it was 2/7 of the total length, leaving 53 meters unfinished. How long is this road?

48. If the teams of Party A and Party B work together, a project can be completed within 10 days. If Team A works for 4 days and Team B works for 6 days, 7/ 15 of this project will be completed. How many days does Group A need to do this project alone?

49. A batch of books were distributed to students A, B and C. A got 1/5 and 5 of the total, B got 1/4 and 7 of the total, and C got 1/2 of the remaining books, which just accounted for 1/8 of the total. How many books are there in this batch?

50. Build a road, and the number of meters repaired is 3/2 of the number of meters not repaired. If you build another 30 meters, the ratio of the number of meters repaired to the number of meters not repaired is 7: 3. How many meters is this road?