Ratio fraction percentile word problem intensive training answers

1. If gold is weighed in water, its weight will be reduced by 1/19. If silver is weighed in water, its weight will be reduced by 1/10. A piece of gold and silver alloy weighs 770 grams. If it is weighed in water, its weight will be reduced by 50. Grams, how many grams of gold and silver does this alloy contain?

2. Among the Young Pioneers who participated in the June 1st Party, female team members accounted for 4/7 of all Young Pioneers. There were 40 more male team members than 2/3 of female team members. How many female team members were there?

3. There are two workshops in a factory. The monthly output value of workshop A is 50,000 yuan more than that of workshop B. 2/15 of the output value of workshop A is equal to 2/3 of that of workshop B. What is the output value of the two workshops? How many thousand yuan?

4. The store purchased a batch of sandals at 6.5 yuan per pair and sold them at 8.7 yuan per pair. When the remaining 1/4 was sold, it not only recovered the money paid for the sandals. , and made a profit of 20 yuan. How many pairs of sandals are there in this batch?

5. Xinchang Tea Store shipped a batch of first-class tea and second-class tea. The quantity of second-class tea is 1/2 of the first-class tea. The purchasing price of first-class tea is 24.8 per kilogram. Yuan, the purchase price of second-grade tea is 16 Yuan per kilogram. Now it is sold at a price increase of 12.5% ??from the purchase price. When all the second-grade tea is sold out and 1/3 of the first-grade tea is left, the maximum profit is 460 yuan. So, how many kilograms of first-grade tea are shipped?

6. Fill the bottle with a bottle of water, pour out 1/2 of the total water, then pour the same amount of alcohol, pour out 1/3 of the total solution, and fill it again with alcohol. , then pour out 1/4 of the total solution, and then fill it with alcohol. What percent of the total solution does alcohol account for at this time?

7. In a pile of sugar mixed with toffee and chocolate, if 10 toffee are added, the chocolate will account for 60% of the total, and after another 30 chocolates are added, the chocolate will account for 75% of the total. , then how many toffee are there in the original mixed sugar? How many chocolates?

8. There is a fraction. If 6 is added to the denominator, the numerator remains unchanged and it is reduced to 1/6; if 4 is added to the numerator, the original denominator remains unchanged and it is reduced to 1/4. What is the original score?

9. In the fourth-grade music group, students from Class 4 (1) accounted for 3/5. Later, 14 students from other classes participated in the music group. At this time, students from Class 4 (1) only accounted for 3/5. 1/4, then how many people will be selected from Class 4 (1) to participate in the music group? Students from Class 4 (1) will account for 2/5?

10. There are two tanks of goldfish. If 15 fish are taken out from the first tank and put into the second tank, then the number of goldfish in the first tank will be exactly 5/7 of the number in the second tank; Take 17 fish out of the second tank and put them into the first tank. At this time, the number of goldfish in the second tank is exactly 5/7 of the number in the first tank. How many goldfish were there in the first tank?

11. Garden workers planted four kinds of flowers: peonies, peonies, bunches of red and roses in the park in the middle of the street. The number of peony plants accounts for 1/4 of the total number of other three kinds of flowers; the number of cluster red plants accounts for 4/11 of the total number of other three kinds of flowers. There are 60 rose plants known to be planted. How many peonies and peonies did the garden workers plant?

12. Xiaohui took a plane to participate in the World Junior Olympics Mathematics Gold Cup Competition. Outside the plane window was a picturesque blue sea. She saw that the sea of ??clouds occupied 1/2 of the entire screen and covered an island. 1/4 of the screen. The exposed island occupies 1/4 of the entire screen. Find what fraction of the covered sea surface accounts for the entire sea surface that should be visible?

13. Xiaojun’s walking distance is 1/4 longer than Xiaohong’s, but Xiaohong’s walking time is 1/10 longer than Xiaojun’s. What is the speed ratio between Xiaojun and Xiaohong?

14. There are 15% more students in the experimental primary school in the fifth grade than in the fourth grade, 25% more in the fourth grade than in the third grade, and 91 more students in the fifth grade than in the third grade. How many students are there in the third grade?

15. 1,000 kilograms of a fruit with a moisture content of 99% were shipped from the warehouse. A week later, it was measured again and found that the moisture content had dropped to 98%. What is the total weight of this batch of fruits now?

16. The school held a mathematics lecture, and the whole classroom was filled with audience members. Among the two people, there was a sixth grader, among the four people, there was a fifth grader, and among the seven people, there was a fourth grader. There are also six teachers.

Ask how many people are attending the class in the entire classroom?

17. ***56 people in the fourth and fifth grade participated in the aircraft model group. Among the students from the fourth grade, 2/3 are boys. Among students coming from fifth grade, 75% are boys. There are just as many girls in fourth and fifth grade. How many people in the fourth and fifth grades each participate in the aircraft model group?

18. There were 36 students reading in the school reading room, 4/9 of whom were girls. Later, several girls came to read. At this time, the number of girls accounted for 9/19 of all the readers. Question How many girls came to read the book later?

19. The number of absent students in a certain class is 1/6 of the number of attendees. After that, another student walked out of the classroom, so the number of absent students is equal to 1/5 of the number of attendees. This class is * **How ??many people are there?

20. There are 152 students in the fifth grade of a certain school. 1/11 of the male students and 5 female students are selected to participate in the science and technology group. The number of remaining male and female students is exactly equal. Find this grade How many male and female students are there?

21. For a barrel of oil, take out 20% of the whole barrel for the first time, 20 kilograms for the second time, and the sum of the first two amounts for the third time, leaving 8 kilograms in the barrel. , how many kilograms of oil are in the original barrel?

22. There are three alcohol solutions A, B, and C with different pure alcohol contents. Their pure alcohol contents are 40%, 36%, and 35% respectively. It is necessary to prepare a solution with a pure alcohol content of 39%. There are 12 liters of alcohol solution. How many liters of alcohol solution A should be taken at least?

23. Four persons A, B, C, and D*** together purchased a yacht worth 4,200 yuan. The cash paid by A was 1/4 of the total cash paid by the other three people. B paid The cash paid by C is 50% less than the total cash paid by the other three people. The cash paid by C accounts for 1/3 of the total cash paid by the other three people. So how much cash paid by D?

24. Two baskets of apples weigh 51 kilograms. 1/3 of the first basket and 2/5 of the second basket weigh 18.2 kilograms. How many kilograms do each of the two baskets of apples weigh?

25. Among the students participating in the city's mathematics competition this time, 6/21 of the number of boys is exactly equal to 5/7 of the number of girls. How many times more boys than girls?

26. There are two items in a store. One item is sold with a cost increased by 25%, and the other item is sold with a cost reduced by 20%. The selling price is exactly the same, then the total selling price of the two items is two. What fraction of the total cost of each item?

27. When planting trees in the school, 3/8 of the plan was completed on the first day, 2/3 of the remaining plan was completed on the second day, 55 trees were planted on the third day, and the result exceeded 1/4 of the plan. How many trees were originally planned to be planted?

28. A basket of apples is distributed to A, B, and C. A gets 1/5 of all apples plus 5 apples, B gets 1/4 of all apples plus 7 apples, C gets half of the remaining apples, and what is left is 1/8 of a basket of apples. Find How many apples are there in this basket?

29. Yucai Primary School held a third-grade mathematics competition. The number of girls participating in the competition was 28 more than boys. According to the results, all boys were classified as excellent, while 1/4 of the girls did not achieve excellent results. Boys and girls There are 42 students who have achieved excellent results. The number of boys and girls participating in the competition accounts for 20% of the whole grade. How many students are there in the third grade?

30. In a class, there are 4 more female students than 2/3 of male students. If the number of male students decreases by 3 and the number of female students increases by 4, then the number of male and female students will be exactly equal.

How many male and female students are there in this class?

31. The number of people in Class 6 (1) is 10% more than that of Class 6 (2). The number of people in Class 6 (2) is 10% less than the number of Class 6 (3). Please judge: Which class has more students, Class (1) or Class 6 (3)?

32. On a map with a scale of 1:2500000, the distance between two cities is measured to be 8 centimeters. If it is drawn on a map with a scale of 1:8000000, how many centimeters is the distance on the map?

33. There are 5 tons of cement, gravel, and yellow sand each. Mix cement, gravel, and yellow sand in a ratio of 5:3:2 to make concrete. If all the stones are used up, how many tons of cement will be missing? How many tons of yellow sand are there?

34. There are two groups in a workshop. The ratio of the first group to the second group is 5:3. If there are 14 people in the first group and they go to the second group, the first group and the second group will The ratio of the number of people in the groups is 1:2. How many people did each of the two groups originally have?

35. A rectangular brick has a length-to-width ratio of 2:1 and a width-to-height ratio of 2:1. The length, width, and height are 35 centimeters. The volume of this brick is How many?

36. There is a piece of copper-zinc alloy, in which the ratio of copper to zinc is 2:3. Now add 6 grams of zinc to get 36 grams of new alloy. Find the ratio of copper to zinc in the new alloy.

37. Buy 210 pencils of two types, A and B. Pencils of type A are 3 cents each, pencils of type B are 4 cents each. The two pencils cost the same amount. Ask type A. How many pencils did you buy?

38. The sixth grade students of the First Primary School were divided into three groups to participate in tree planting. The ratio of the first group to the second group was 5:4, and the ratio of the second group to the third group was 3:2. , it is known that the number of people in the first group is 15 less than the total number of people in the second and third groups. How many students in sixth grade participated in tree planting?

39. There is a transition fee of 3 yuan for vehicles crossing the river, 2 yuan for horses crossing the river, and 1 yuan for people crossing the river. The ratio of the number of cars and horses crossing the river on a certain day is 2:9, and the ratio of the number of horses to people is 3:7. *** received a transition fee of 945 yuan. Find the number of cars, horses and people crossing the river on that day. How many?

40. There are two identical bottles filled with alcohol solution. The volume ratio of alcohol to water in one bottle is 3:1, while the ratio of alcohol to water in the other bottle is 4:1. If two bottles of alcohol solution are mixed, what is the volume ratio of alcohol to water in the mixture?

41. Xiao Ming bought a top and two pairs of pants, and Xiao Hua also bought a top, but only one pair of pants. As a result, the ratio of the money they spent was 3:2. It is known that the price of a top is 3.5 yuan, then how much is the price of a pair of pants?

42. The weight ratio of two packets of sugar A and B is 4:1. If 10 grams are taken out of packet A and put into packet B, the weight ratio of two packets of sugar A and B is 7:5. So what is the total weight of the two packets of sugar in grams?

43. The ratio of the walking speed of A and B is 7:5. A and B start from A and B at the same time respectively. If they go in the same direction, they will meet after 0.5 hours. If they go in the same direction OK, then how long does it take for A to catch up with B?

44. There is a batch of books. Xiao Ming can bind 3/4 of them in 9 days, and Xiaoli can bind 5/6 of them in 20 days. How many days can Xiao Ming and Xiao Li work together to complete the pretense?

45. There is a project. A can complete 1/9 of the project in 20 days. B can complete 1/10 of the project in 9 days. A and B can work together. , how many days will it take to complete half of this project?

46. The master and the apprentice are processing a batch of parts together. After 2 days, 1/3 of the total number has been processed. If this batch of parts is all processed by the master alone, it will take 10 days to complete. If all the parts are processed by How many days does it take for apprentice processing to be completed?

47. A can complete a piece of work in 10 hours, B can finish it in 12 hours, and C can finish it in 15 hours.

How many hours can three people work together to complete half of the work?

48. From point A to point B, the slow train takes 15 hours, and the express train takes 10 hours. Five hours after the slow train leaves from point B, the express train leaves from point A, and after a few hours and two Car encounter?

49. A project can be completed by A and B in 8 days; by B and C in 6 days; by C and D in 12 days. So how many days will it take for the cooperation between A and D to be completed?

50. There is a batch of machine parts. It takes A alone eight and one-half days to make, which is 1/2 day longer than B alone. After the two cooperate for 4 days, there are 210 parts left. A did it alone. How many parts did A*** make from beginning to end?

51. Two people, A and B, set off from the same place on the ring road at the same time on bicycles, walking backwards. Now it is known that the time it takes for A to walk around is 70 minutes. If A and B meet each other 45 minutes after departure, how many minutes does it take for B to walk around?

52. For a project, Team B worked on it alone for 4 days, then Team A and Team C worked together for 6 days, and Team A worked on the remaining project alone for another 9 days before it was completed. It is known that team B has completed 1/3 of what team A has completed, and team C has completed twice as much as team B has completed. How many days will each team A, B, and C take to complete the work alone?

53. A pool has two inlet pipes A and B. If pipe A is opened alone, the pool can be filled in 1/6 hour; if pipe B is opened alone, the pool can be filled in 1/7 hour. If pipes A and B are opened at the same time, how long will it take for 1/4 of the pool to be filled with water?

54. A certain village digs a canal. If two teams, A and B, dig separately, team A will dig it in 12 days and team B will dig it in 15 days. Now, 2 days after Team A and Team B dug together, Team C also came to join in. The work was completed in 3 days after Team C joined. If Team C digs alone, how many days will it take to complete the work?

55. A reservoir is equipped with one water inlet pipe and three water outlet pipes with the same discharge speed. Opening only one water inlet pipe can fill an empty pool in 20 minutes, and opening only one water outlet pipe can fill the entire pool in 45 minutes. There is currently 2/3 water in the pool. If all four pipes are opened, after how many minutes will there be 2/5 left?

56. Two cars A and B drive toward each other from the east and west at the same time. Car A travels 56 kilometers per hour, and car B travels 48 kilometers per hour. The two cars are 32 kilometers away from the midpoint. We meet, how many kilometers is the distance between east and west?

57. Two cars, A and B, drive from the East Station to the West Station at the same time. Car A travels 12 kilometers further per hour than Car B. After driving for four and a half hours and arriving at West Railway Station, Car A immediately returned from the original route without stopping and met Car B at a distance of 31.5 kilometers from West Railway Station. How many kilometers per hour?

58. Two people ride bicycles along a 900-meter-long circular track. If they go in opposite directions from the same place, they will meet once after 18 minutes. If they go in the same direction, then they will meet each other once. After 180 minutes, the fast train catches up with the slow train once. What is the speed of the two bicycles?

59. The brother and sister left home to go to school at the same time. The elder brother walked 90 meters per minute, and the younger sister walked 60 meters per minute. When the older brother arrived at the school gate, he found that he had forgotten his textbook. He immediately went home to get it along the same route, and met his younger sister 180 meters away from the school. Ask them how far their home is from the school?

60. There is a 15-meter-long bus on the road, traveling from east to west at a speed of 18 kilometers per hour. There are two young people, A and B, on the sidewalk beside the road. People are practicing long-distance running. A is running from east to west, and B is running from west to east. At a certain moment, the car caught up with A, and 6 seconds later the car left A; half a minute later, the car met B, who was running towards him; and 2 seconds later, the car left B. How many seconds will pass before A and B meet?

61. Places A and B are 360 ??kilometers apart. Passenger cars and trucks depart from place A to place B at the same time. The speed of the truck is 60 kilometers per hour, and the speed of the passenger car is 40 kilometers per hour. After arriving at point B, the truck stays for 0.5 hours, and then returns to point A at the same speed. How many hours after starting from point A did the two vehicles meet?

62. The train and the local train depart from A and B at the same time and meet each other after 12 hours. After the encounter, the express train traveled another 8 hours to reach B.

How many hours does it take for the local train to reach A?

63. The two places are 380 kilometers apart. Two cars drove towards each other from two places at the same time. Car A originally planned to travel 36 kilometers per hour and car B to travel 40 kilometers per hour, but when driving, car A changed its speed and drove out at a speed of 40 kilometers per hour. When they met, car B was faster than the original plan. How many kilometers have you traveled less?

64. East and West towns are 240 kilometers apart. A passenger bus drives from East Town to West Town at 8 am, and a truck drives from West Town to East Town at 9 am. At 12 noon, the two cars met exactly at the midpoint between the two towns. If two cars drive in opposite directions from the two towns at 8 a.m. and their speed remains unchanged, how many kilometers will they still be apart at 10 a.m.?

65. A passenger car and a truck leave from station A and station B opposite each other at the same time. The passenger car travels 54 kilometers per hour and the truck travels 48 kilometers per hour. After the two vehicles meet, they continue to move forward at the original speed. The passenger car travels at 54 kilometers per hour. It returns immediately after arriving at station B, and the truck returns immediately after arriving at station A. When the two vehicles meet again, the passenger car travels 216 kilometers further than the truck. How many kilometers is the distance between stations A and B?

66. On August 1st Day, a certain Young Pioneers went from the school to the PLA barracks 17 kilometers away at a speed of 4 kilometers per hour to express condolences. 0.5 hours after departure, the People's Liberation Army heard the news and went to greet them. 2 kilometers faster than the Young Pioneers per hour. How many more hours will it take for them to meet on the way?

67. Stations A and B are 440 kilometers apart. A large car and a small car leave from the two stations opposite. The big car travels 35 kilometers per hour and the small car travels 45 kilometers per hour. . A swallow sets off at the same time as the big car at a speed of 50 kilometers per hour, flies towards the small car, turns back and flies towards the big car after meeting the small car, meets the big car and flies back towards the small car, and keeps flying like this. How many kilometers does the swallow fly before the two cars meet?

68. The distance between the two places is 1120 kilometers. There are two trains leaving each other at the same time. The first train travels 60 kilometers per hour, and the second train travels 48 kilometers per hour. When the second train departs, a pigeon flies out of it and flies towards the first train at a speed of 80 kilometers per hour. When the pigeon hits the first train, the second train is many miles away from its destination. Far?

69. Two cars drove towards each other from places A and B, which are 210 kilometers apart, at 8 o'clock in the morning. The first car stopped for 45 minutes for repairs on the way, and the second car stopped for half an hour for refueling. As a result, they met at 11 o'clock in the morning. If the first car travels 40 kilometers per hour, how many kilometers per hour does the second car travel?

70. Xiaogang and Xiaoyong started from opposite places on bicycles at the same time. Xiaogang met Xiaoyong 5/8 of the way. Xiaoyong continues to move forward at a speed of 10 kilometers per hour, and it takes 2.5 hours to complete the remaining distance. What is Xiaogang's speed?

71. A and B are running back and forth on a straight road 90 kilometers apart. A's speed is 3 meters per second, and B's speed is 2 meters per second. If they start at both ends of the straight road at the same time, and they run for 10 minutes, how many times do *** meet during this time?

72. Two athletes, male and female, practice running on a 110-meter-long slope (the top of the slope is A and the bottom of the slope is B). The two started from point A at the same time and ran back and forth between A and B non-stop. If the male athlete's uphill speed is 3 meters per second and the downhill speed is 5 meters per second; the female athlete's uphill speed is 2 meters per second and the downhill speed is 3 meters per second, then the point where the two meet head-on for the second time is distance A How many meters?

73. Hongxing Machinery Factory produced 7,320 motorcycles, 670 more than planned. By what percentage was the overproduction?

74. On the compulsory Arbor Day, 200 poplar trees were planted in Hongxing Village, and 10 of them were not alive. Let’s look at the survival rate.

75. There are 40 students in Class 6 (1) on a certain day, 1 is on sick leave, and 1 is on personal leave. Find the attendance rate of Class 6 (1) on that day.

76. A product sells for 450 yuan, which is 50 yuan lower than the original price. How much percent has it been reduced?

77. There are 120 girls in the first grade of Guangming Primary School, and boys account for 4/9 of the total number. How many students are there in the first grade?

78. The leather shoe factory produced 27,500 pairs of leather shoes last year, an increase of 10% from the original plan. How many pairs of leather shoes were originally planned to be produced last year?

79. The gas company laid a 2800-meter gas pipeline. The full length of 30 was laid in the first week, and the full length of 35 was laid in the second week. How many meters were not laid?

80. A pair of leather shoes originally cost 50 yuan. They were first sold at a price increase of 20 yuan, and now the price is reduced by 20 yuan. How much is a pair of leather shoes now?

81. Master Wang produced a batch of parts and he completed 70. Afterwards, another 350 units were produced, which exceeded the original plan by 20%. How many parts does Master Wang plan to produce?

82. There is a batch of flour in the canteen. 20% of the total flour is eaten on the first day. The ratio of what is eaten on the second day to the first day is 3:2. There is still 52 kilograms of flour left. This batch of flour ***How ??many kilograms?

83. If 4 tons of soybeans are used to press 600 kilograms of oil, what is the oil yield?

84. There are 180 students in the sixth grade. There are 91 boys and 85 girls in attendance today. What is the attendance rate today?

85. Master Yang can produce 225 parts in 3 hours. After technological innovation, he can produce 180 parts in 2 hours. How much has the production efficiency increased?

86. There are 980 workers in a printing factory. Among them, male workers accounted for the total number of employees in the factory. Later, some female workers were transferred. At this time, female workers accounted for the total number of employees in the factory. How many female workers were transferred? ?

87. There is a pile of candies, of which toffee occupies . After adding 16 fruit candies, toffee only occupies . So, how many pieces of toffee are there in this pile of sugar?

88. A batch of parts will be processed by the master and the apprentice according to the ratio of 5:4. If the master does more work than the assigned task, but the apprentice only completes the task due to illness, ask the master and apprentice what fraction of the number of tasks they actually completed?

89. A pair of headphones used to cost 80 yuan, but now they are sold at the original price. How much does each pair cost now?

90. Uncle Wang’s family harvested 4,800 kilograms of rice this year, an increase from last year. How many kilograms of rice were harvested last year?

91. When building a road, the entire length of the road was built on the first day, and the full length of the road was built on the second day. There are still 360 meters left to build. How many meters is the total length of this road?

92. A certain engineering team built a 3,500-meter highway. The entire length was built in the first month, and the first month was built in the second month. How many meters were built in the second month?

93. The fertilizer factory completed the annual production in seven months this year. If it produces another 2,000 tons, it can exceed the production by 200 tons. How many tons of fertilizer does the factory produce throughout the year?

94. The cement on the construction site is used and another 250 tons are transported in. At this time, the cement on the construction site is the original one. How many tons of original cement are on the construction site?

95. A car drives from place A to place B. It has traveled about 10 kilometers and is still 10 kilometers away from the midpoint. How many kilometers are there between places A and B?

96. The turnover of Sanwu Hotel last year was 4.8 million yuan. If the business tax is paid according to 5, how much business tax should this hotel pay last year?

97. There are 1800 grams of sugar water containing 6 sugars. How many grams of sugar need to be added to increase the content to 10?

2698

99. Mrs. Wang deposited 2,000 yuan in the bank and deposited it regularly for three years. The annual interest rate was 2.52.

At maturity, how much after-tax interest will Mrs. Wang receive? How much is the principal and after-tax interest per dollar?

100. Zhang Qin’s family bought 4,000 yuan of national construction bonds with a term of five years. If the annual interest rate is 3.14, when it matures, how much yuan of principal and interest can he get?

101. Hongxing Village planted 800 trees last year, more than this year. What fraction of this year’s trees are less than last year?

102. A product was priced at a profit of 20 yuan, and then sold at a 20% discount. The result was a loss of 64 yuan. How much did this product cost? Is that enough, brother?