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Sixth grade mathematics interesting application problems
1. Party A and Party B respectively process the same number of parts. Party A has done 1/4, and there are still 45 parts that Party B has not done. At this time, Party A's work efficiency has increased by 20%. When Party A does the remaining 2/3, Party B still has 65,438+0/3 of its original workload. What is the total amount of work for two people?

( 1- 1/4)×2/3= 1/2 1- 1/2=0.5

2.52: 70 = 26: 35, and set the whole journey as (26+35)x, that is, 61x.

Then (26x-52*4)/52=35x/90 and x=36 are obtained.

The total distance is 36*6 1=23. Suppose the distance from A to B is X kilometers, and two people walk towards each other. The speed of B is 2/3 of that of A, and the time when they meet is X/((kloc-0/+2/3) * A's speed). Then when they meet for the first time, A takes x/(5/3).

After two people meet, they continue to travel. A goes to B, and B turns around immediately after arriving at A. ..

Suppose a needs s (time) from a to b, then b needs s*3/2 (time) from b to a.

At this time, A leaves x*3/2, leaving 0.5x for B and A to complete. Then the second meeting of B leaves 0.5x/(5/3) = X * 3/ 10.

x * 3/5-x * 3/ 10 = x * 3/ 10 = 20

X = 200/3 (km)196m.

1. Party A and Party B respectively process the same number of parts. Party A has done 1/4, and there are still 45 parts that Party B has not done. At this time, Party A's work efficiency has increased by 20%. When Party A does the remaining 2/3, Party B still has 65,438+0/3 of its original workload. What is the total amount of work for two people?

2. Start from home and walk to each other at the same time. A walks 52 meters per minute, and B walks 70 meters per minute. They met in the middle of a. If A leaves 4 minutes early and walks 90 meters per minute at the same speed, they will still meet at A.. Find out how far apart they will be.

3. Party A and Party B walk in opposite directions at the same time, and people with the speed of 2/3.2 of Party B will meet and continue to March towards Party B, and immediately turn around after Party B arrives at Party A. It is known that the second meeting point of the two people is 20 kilometers away from the first meeting, so how far is AB?

1. A new batch of radios arrived in a shop. On the first day, 42 radios were sold, and on the second day, 75% radios were sold in two days. How many radios have been sold?

2. Build a canal. 37.5% of the total length on the first day. The next day, the rest was built. The second day was built 50 meters more than the first day. How long is this canal?

3. A barrel of oil used 37.5% of the total for the first time, and the second time was the first time. The first time used 2 1kg more than the second time. How many kilograms did you use twice?

A machine factory produced many machines in the first quarter of this year. It is known that/kloc-0 produces 240 units per month, and the rest is produced in February, accounting for 30% of the total output in March. How many machines were produced in the first quarter of this year?

5.a read a book. On the first day, he finished reading the whole book. The next day, he read 20% more than the first day. On the third day, he finished reading the remaining 16 pages. How many pages are there in this book?

6. Build a section of highway. On the first day, 20% of the total length was built over 60 meters. The next day, 25% of the total length was built less than 40 meters, leaving 3 10 meters. How long is this road?

7. A pile of yellow sand has used 5 tons more than this pile of yellow sand, and the useless one is 25 tons less than this pile of yellow sand. How many tons is this pile of yellow sand?

8, a barrel of oil, take out all 20% for the first time, take out 5 kilograms more than the first time. At this time, there are 7 kilograms left in the bucket. How many kilograms did you take out for the second time?

9. There is a pool of water. Put 60 tons on the first day and 65 tons on the second day. The remaining water is 5 tons less than the original 25% pool water. How many tons were there in the original pool?

10, a bus and a truck leave from Party A and Party B along the same road. When the truck has traveled 80% of the whole journey, the bus has traveled the whole journey. Distance between two cars18km. How many kilometers is the distance between Party A and Party B?

1 1. Build a road. The first time was 25 kilometers, and the second time was 5 kilometers more, 5 kilometers more than this road. How many kilometers is this road?

12, A reads a book, and on the first day, it reads 20% of the total pages of the book. On the second day, it reads 15 pages less than on the first day, and just reads the total pages of the book in two days. How many pages have you read in two days?

13 in the fourth grade 1 class, there are 25% more girls than boys, and 5 fewer boys than girls. How many students are there in this class?

14. A batch of goods was shipped in three days. 40% delivery on the first day, 30 tons less on the second day, and 120 tons on the third day. How many tons is this shipment?

15, the sum of two numbers is 89, and the number of A is more than that of B 1. What are these two numbers?

16, there are 54 people in the school training team, and 6 boys are less than girls. How many boys and girls are there in this team?

17, one workshop * * * two workers make 180 parts. It is known that A makes 40% more than B, so how many parts do two workers make each?

18, two workshops produce 637 parts a day, of which workshop A is 25% less than workshop B. How many parts does each workshop produce?

19, the sum of a, b and c is 1200, a is 60% of b, c is 80% of b, what are a, b and c respectively?

20, A, B two piles of coal ***440 tons, if A pile of coal away 25%, B pile of coal away 90 tons, then two piles of coal are equal, A, B two piles of coal originally how many tons?

2 1. Two engineering teams jointly built a section of highway. The first team builds 12 meters every day, which is 20% less than the second team. Task completed, Team Two built18m more than Team One. How long is this road?

22. A workshop processed a batch of parts. On the first day, everything was processed. The work efficiency increased by 20% the next day, 2 1 more than the first day. How many parts are there in this batch?

23. Students in grades three, four and five of a school planted 576 trees. The trees planted in grade four are in grade five, and the trees planted in grade three are in grade four. How many trees were planted in three grades?

24. There are two piles of 24 tons of coal, and 4 tons are added to the small pile. After the large piles are used up, the weight of the two piles of coal is exactly the same. How many tons of coal was the original size pile?

25. There are 196 students in Grade Five. Male students and six female students were selected to take part in the math contest, and the rest were equal. How many boys and girls are there in Grade Five?

26. There are three kinds of trees in the orchard. There are more orange trees than pear trees, fewer peach trees and 55 more orange trees than peach trees. How many kinds of three kinds of fruit trees are there?

27. There are 60 black rabbits and white rabbits. Later, I gave 20% of the black rabbit to others and bought 12 white rabbits. At this time, the black rabbit and the white rabbit are equal. How many black rabbits and white rabbits are there?

28. Warehouse A and Warehouse B originally stored 780 tons of grain. After 108 tons were shipped from warehouse B, warehouse B lost 32 tons, less than 60% of the grain in warehouse A. How many tons are stored in warehouse A?

29. The cloth shop sends white cloth, blue cloth and printed cloth * * * 138m. White cloth is calico, and calico is 1.5 times that of blue cloth. How many meters of white cloth, blue cloth and printed cloth were sent?

30. Three people, A, B and C, transported a pile of wheat. A transported 40% of the total,152kg more than B, and B transported 1.5 times more than C. How many kilograms of wheat did they transport respectively?

3 1, 75% of the female workers in workshop a of a factory are equal to the male workers. As we all know, there are 3 more male workers than female workers. How many women workers are there?

32. A and B went to the bookstore to buy books, and * * * took 54 yuan. After Party A spent 75% of his own money and Party B spent 80% of his own money, the amount of money they had left was exactly the same. How much did Party A and Party B originally bring?

33. Two baskets of vegetables weigh 84 kilograms. Take out 20% from basket A and put it in basket B, and then take out 2kg from basket B and put it in basket A. The weights of the two baskets are exactly the same. How many kilograms do you want?

34. Divide 290 people into three groups. The number of people in the first group is 25%, the number in the second group is 37.5%, and the number in the third group is equal. How many people are in each of the three groups?

35. A chicken farm has 265,438+0,000 chickens, 7,000 cocks are sold, 60% hens are sold, and the number of remaining cocks and hens is equal. How many cocks and hens are there in this chicken farm?

There are 60 students in a class, 60% of whom are boys. Later it was transferred to several girls. At this time, boys accounted for the whole class. How many girls transfer?

37. Sugar water contains 10 kg, and sugar accounts for 5% of sugar water. Now add some sugar to make sugar account for syrup. How many kilograms of water should be evaporated?

38. The original girls in a class are 75% boys. I recently transferred two girls. Now the number of girls is boys. How many people are there in the class?

39. Xiaoming and Xiaohua each have a few yuan in deposits, of which Xiaoming's deposits account for 75% of the total. After Xiao Ming withdrew 12 yuan, his deposits accounted for the total deposits of the two people now. How much money did Xiaoming and Xiaohua originally save?

40. The original absenteeism in a workshop accounts for the total number of people in the workshop. Today, two workers ask for leave. At this time, the number of absentees is 12.5% of the attendance. How many people are there in the whole workshop?

4 1. Two typists from Party A and Party B type draft A. A is going to type this manuscript. After he finished typing, he helped B type two pages. At this time, the number of pages actually typed by typist A is 1.25 times that of typist B. How many pages does typist B need to type?

42. When Xiao Ming reads a book, the number of pages he has read is 20% of the number of unread pages. If he reads another 30 pages, the number of pages he has read will account for the whole book. How many pages are there in this book?

43. A factory has two workshops, and one workshop accounts for the whole factory. If 150 people are transferred from Workshop A to Workshop B, Workshop A will occupy Workshop B.. How many people are there in each workshop?

44. If 10 people are transferred from workshop A to workshop B, then the number of people in workshop B happens to belong to workshop A, and it is known that workshop B originally had 50 people. How many people are there in Workshop A?

45. A basket of cucumbers weighs 12.75 kg. After 75% of the products are sold, the basket weighs 5.25 kg. How much does this basket weigh?

46. There are three classes in the fifth grade of primary school in Yu Ying. There are 82 students in Class One, Class Two and Class Three, and 88 students in Class Two and Class Three. The number of students in Class One and Class Three accounts for the whole grade. How many students are there in Class Three?

47. Take out 168 from a box of light bulbs, and then take out the rest, so the remaining light bulbs are exactly the total number of light bulbs in this box. How many light bulbs are there in this box?

48. A batch of rice and flour arrived from the grain store. The weight of rice is flour, and rice sells for 20%. The remaining rice is 600 kilograms less than flour. How many kilograms of rice are shipped?

49. A barrel of oil was emptied three times. For the first time, 40% of the total amount was short of 9 kg, for the second time, the remaining amount was increased by 5 kg, and for the third time, the remaining amount was 15 kg. How much does this barrel of oil weigh?

50. A barrel of oil is packed in the same bottle, and 15 bottles are just filled with this barrel of oil. There are 30 kilograms of oil in the other five bottles. How many kilograms is this barrel of oil?

5 1, two piles of coal, A pile of 240 tons and B pile 180 tons. After the two piles are sold in the same amount, B pile is the remaining 25% of A pile. How many kilograms of coal are sold in the two piles?

52. Pour a bottle of wine for the first time, then pour 40kg back into the bottle, pour the rest for the second time, and pour out 180kg for the third time. At this time, there is still 60kg left. How many kilograms are there?

53. At present, 20% salt water 30kg and 64% salt water 20kg are mixed. What is the salt content of mixed brine?

54. The Young Pioneers completed 37.5% of the plan on the first day, the rest on the second day, and planted 55 trees on the third day. As a result, how many trees were originally planned to be planted if the plan was overfulfilled?

56. Warehouse A and Warehouse B * * * store grain 1680 tons, and warehouse A delivers 75%. After warehouse B is shipped out, the surplus grain of warehouse A and warehouse B is equal. How many tons were originally stored in warehouse A and warehouse B?

57. A batch of yellow sand was used and then 20 tons were brought in. At this time, it is 20% less than before. How many tons are there in this batch of yellow sand?

58. A batch of yellow sand was used and brought in 120 tons, which was 20% more than the original. How many tons was the original batch of yellow sand?

59. A batch of yellow sand was transported into 120 tons after use, but it was 6 tons less than the original one. How many tons of yellow sand were there?

60. A batch of yellow sand was used and then brought in 120 tons. At this time, it is 2 tons more than before. How many tons are there in this batch of yellow sand?

6 1, processing a batch of parts takes 20 hours for Party A and 30 hours for Party B.. Two people cooperate to complete the task, and Party A does 96 more than Party B. How many parts are there in this batch?

62. Party A and Party B walk in opposite directions from Party A and Party B at the same time. Party A and Party B meet in the whole process. It is known that Party A can walk 4.8 kilometers per hour, and Party B can walk this distance in 5 hours. Do you want the whole journey?

63. It takes 10 hour for the express train from Station A to bilibili and 15 hour for the local train from bilibili to Station A ... Two cars leave from two stations at the same time and meet at a distance of 90 kilometers from the midpoint. How many kilometers did the express train travel when they met?

64. Xiaoming and Xiaohua have saved several dollars, of which Xiaoming accounts for 60% of the total. After Xiao Ming paid 12 yuan, his deposits accounted for the deposits of the two now. How much money did Xiaoming and Xiaohua save respectively?

65. There is a batch of goods, 40% of the total amount of the first shipment is less than 2 tons, and the rest are shipped for the second time, leaving the total amount. How many tons are there in this shipment?

66. There is a pool of water. Put 60 tons on the first day and 65 tons on the second day. The rest is 5 tons less than the water in this pool. How many tons were there in the original pool?