0.5+x)+x=9.8÷2
2(X+X+0.5)=9.8
25000+x=6x
3200=450+5X+X
X-0.8X=6
12x-8x=4.8
7.5*2X= 15
1.2x=8 1.6
x+5.6=9.4
52-x = 15
9 1÷x = 1.3
X+8.3= 10.7
15x =3
3x-8= 16
7(x-2)=2x+3
3x+9=27 18(x-2)=270
12x=300-4x
7x+5.3=7.4
3x÷5=4.8
30 \x+25 = 85
1.4×8-2x=6
6x- 12.8×3=0.06
4 10-3x= 170
3(x+0.5)=2 1
0.5x+8=43
6x-3x= 18
1.5x+ 18=3x
5×3-x÷2=8
0.273÷x=0.35
1.8x=0.972
x÷0.756=90
9x-40=5
x÷5+9=2 1
48-27+5x=3 1
10.5+x+2 1=56
x+2x+ 18=78
(200-x)÷5=30
(x- 140)÷70=4
0. 1(x+6)=3.3×0.4
4(x-5.6)= 1.6
7(6.5+x)=87.5
(27.5-3.5)÷x=4
x+ 19.8=25.8
5.6 times =33.6 times
9.8-x=3.8
75.6 \x = 12.6
5x+ 12.5=32.3
5(x+8)= 102
x+3x+ 10=70
3(x+3)=50-x+3
5x+ 15=60
3.5-5x=2
0.3×7+4x= 12.5
x÷ 1.5- 1.25=0.75
4x- 1.3×6=2.6
20-9x= 1.2×6.25
6x+ 12.8= 15.8
150×2+3x=690
2x-20=4
3x+6= 18
2(2.8+x)= 10.4
(x-3)÷2=7.5
13.2x+9x=33.3
3x=x+ 100
x+4.8=7.2
6x+ 18=48
3(x+2. 1)= 10.5
12x-9x=8.7
13(x+5)= 169
2x-97=34.2
3.4x-48=26.8
42x+25x= 134
1.5(x+ 1.6)=3.6
2(x-3)=5.8
65x+7=42
9x+4×2.5=9 1
4.2 x+2.5x= 134
10.5x+6.5x=5 1
89x-43x=9.2
5x-45= 100
1.2x-0.5x=6.3
23.4=2x=56
4x-x=48.6
4.5x-x=28
X-5.7=2. 15
15 5X-2X= 18
3X+0.7=5
3.5×2= 4.2+x
26× 1.5= 2x+ 10
0.5× 16― 16×0.2=4x
13 9.25-X=0.403
16.9÷X=0。 three
X÷0.5=2.6
x+ 13=33
3-5 times =80
1.8 +6x=54
6.7 times -60.3=6.7
9 +4x =40
2x+8= 16
x/5= 10
x+7x=8
9x-3x=6
6x-8=4
5x+x=9
x-8=6x
4/5x=20
2x-6= 12
7x+7= 14
6x-6=0
5x+6= 1 1
2x-8= 10
1/2x-8=4
x-5/6=7
3x+7=28
3x-7=26
9x-x= 16
24x+x=50
6/7x-8=4
3x-8=30
6x+6= 12
3x-3= 1
5x-3x=4
2x+ 16= 19
5x+8= 19
14-6x=8
15+6x=27
5-8x=4
7x+8= 15
9-2x= 1
4+5x=9
10-x=8
8x+9= 17
9+6x= 14
x+9x=4+7
2x+9= 17
8-4x=6
6x-7= 12
7x-9=8
x-56= 1
8-7x= 1
x-30= 12
6x-2 1=2 1
6x-3=6
9x= 18
4x- 18= 13
5x+9= 1 1
6-2x= 1 1
x+4+8=23
7x- 12=8
X-5.7=2. 15
15 5X-2X= 18
3X 0.7=5
3.5×2= 4.2 x
26× 1.5= 2x
0.5× 16― 16×0.2=4x
9.25-X=0.403
16.9÷X=0.3
X÷0.5=2.6
3-5 times =80
1.8-6x=54
6.7 times -60.3=6.7
9 +4x=40
0.2x-0.4+0.5=3.7
9.4x-0.4x= 16.2
12-4x=20
1/3x+5/6x= 1.4
12x+34x= 1
18x- 14x= 12
23 x-5× 14= 14
12+34x=56
22- 14x= 12
23x- 14x= 14
x+ 14x=65
23x= 14x+ 14
30x 12x- 14x= 1
x-0.7x=3.6
(1) This fruit shop can import 390 kilograms of apples, bananas and pears a day. The weight of apples is 1.5 times that of pears, and the weight of bananas is 3/4 of that of pears. How many kilograms of each of the three fruits?
(2) A pot of water used 1/2 and 5 barrels, leaving 30%. How many buckets of water are there in this water tank?
(3) There is a square wood, the fast side is 20 cm long, and it is planed into a cylinder with the largest diameter at the bottom. What is the volume of wood planed out?
(4) The length of a steel pipe is10m. Cut off 7/ 10 for the first time, and cut off the remaining 1/3 for the second time. How many meters are left?
(5) Assemble radios in two groups. Group A assembles 50 radios every day, and completes 10% of the total task on the first day. At this time, Group B began to assemble 40 radios every day. How many days did it take Group A to complete these tasks?
(6) After the highway is built, the total length is 2/3, and the distance is16.5km.. What is the total length of this highway?
(7) The master and the apprentice made a batch of parts together, and the apprentice made 2/7 of the total, 2 1 less than the master. How many parts are there in this batch?
(8) Two teams build a highway. Team A builds 65438+ 0.5 of the total length every day, and Team B works alone for 7.5 days. If the two teams work together for two days, the rest will be repaired by team B alone. How many days will it take?
(9) There is a batch of chemical fertilizers in the warehouse, and 2/5 of the total amount is taken out for the first time, and 1/3 of the total amount is less than 12 bags for the second time. At this time, there are 24 bags left in the warehouse. How many bags are taken out twice?
(10) In the distance of 720m, the front wheel turns 40 times more than the rear wheel. If the circumference of the rear wheel is 2m, find the circumference of the front wheel.
The number of (1 1) A is 1.2 times the average of three numbers. If the sum of B and C is 99, what is the number of A?
(12) There is a project that plans to use 800 workers, and the construction period is 100 days. I didn't expect to stop work due to an accident 35 days after the start of construction, and continue construction 25 days later. How many more workers will be needed if the work is to be completed within the time limit?
(13) The fruit shop bought several kilograms of apples at the price of 1.5 kilograms of 2 yuan money and sold them at the price of 2.5 kilograms of 4 yuan money. If the store wants to make a profit of 100 yuan, how many kilograms of fruit must this fruit shop sell?
(14) The walking speeds of Party A, Party B and Party C are 30m, 40m and 50m per minute respectively. Party A and Party B are in place A, and Party C is in place B. Both parties walk in opposite directions at the same time. After Party C meets Party B, meet Party A in 10 minutes. How many meters are the two places apart?
(15) It takes 15 minutes for Party A to go from the east village to the west village, and 15 minutes for Party B to go from the west village to the east village. Two people set out at the same time and walked towards each other. When they met, the distance was 150 meters, thus finding the distance between the two villages. & lt/P & lt; p & gt
(16) A car runs 2/5 of the whole course on the first day, and the rest on the second day 1/2. The distance on the third day is less than that on the first day 1/3, and the remaining distance is 50 kilometers. How many kilometers is the journey?
(17) The passenger ship sails from Port A to Port B at a speed of 24 kilometers per hour. It took 12 hours for the cargo ship to sail from port B to port A. At the same time, when they met, the ratio of passenger ships to cargo ships was 6: 7, and the distance between the two ports was 6: 7.
(18) The distance between Station A and bilibili is1134km. A bus and a truck leave from two stations at the same time and meet at 10 hour and 30 minutes. The speed of a truck is seven-fifths that of a bus. How many kilometers does this bus travel per hour?
(19) The number of male employees in an assembly workshop is equivalent to 20% of female employees. It is understood that there are female employees 130 in this workshop. How many male employees are less than female employees?
(20) 25 kg of salt water with a salt content of 20%. After adding some water, the salt content is 8%. How much water did you add?
(2 1) There are 307 tons of grain in warehouses A, B and C. After 40 tons are shipped out, the surplus grain weight ratio of warehouse A and warehouse B is 3: 5, and that of warehouse B and warehouse C is 3: 4. How many tons of raw grain is there in warehouse C?
(22) Workshop A and Workshop B need to process a batch of flour, and the planned task ratio of 130% is 8: 5. Workshop B is less than Workshop A 13.5 tons ... How many tons of flour was originally planned to be processed?
Application problem 2
(1) There are two baskets of fruit. The fruit in the first basket weighs 32 kilograms. After taking out 20% from the second basket, the weight ratio of the two baskets of fruits is 4:3. How many kilograms were there in the original two baskets of fruit?
(2) It is planned to install 120 TV sets. If you install 8 TV sets every day, you can finish the task one day in advance and four days in advance, then how many TV sets should you install every day?
(3) The distance between Party A and Party B is 1 152km, and a bus and a truck leave both places at the same time. Trucks run 72 kilometers per hour, 2/7 faster than buses. How many hours did it take for two cars to meet?
(4) The school bought a batch of books and distributed them to all classes. If each class is divided into 25 books, there will be 22 more books. If each class is divided into 30 books, there will be 68 books missing. How many classes are there? How many books did you buy?
(5) The fruit company stores a batch of apples, and after selling 30%, it delivers 160 boxes, which is more than the original apples110. How many boxes of apples are there?
(6) The greening team rebuilt the garden in the center of the street and used it in 900 yuan. Compared with the original plan, it saves 300 yuan and a few percent. & lt/P & lt; p & gt
(7) A road construction team built a road, originally planned to build 200 meters a day, but actually built 50 meters more every day. As a result, the task was completed three days ahead of schedule. What is the total length of this road?
(8) There is a rectangular ingot with a circumference of 2m at the bottom and an aspect ratio of 4: 1, which is 25% less. Can be cast into a cone with a height of 3 meters. What is the bottom area of the cone?
(9) For a conductor, 37.5% of the total length is used for the first time, and 27 meters is used for the second time. At this time, the length ratio of used metal wire to useless metal wire is 3:2. How long is this wire?
(10) There are 6 more boys in one class than 5/7 in the whole class, and 4 fewer girls than the whole class 1/4. How many people are there in the class?
(1 1) Warehouse A originally stored 50 tons less grain than Warehouse B. After transferring 30 tons of grain from Warehouse A to Warehouse B, the grain storage in Warehouse A was less than that in Warehouse B.1/4 .. How many tons of grain does Warehouse B store now?
(12) Diesel oil is put into a cylindrical oil drum. It is known that the bottom of the oil drum has a diameter of 6 decimeters and a height of 10 decimeter. When full, the weight of the bucket is 280 kilograms. It is known that a liter of diesel weighs 0.85 kg, so how many kg does the barrel weigh?
(13) A store buys a batch of pens at 10.9 yuan and sells them at 14 yuan. When we sold 4/5 of these pens, we not only recovered all the costs, but also made a profit 150 yuan. How many pens are there in this batch?
(14) When processing a batch of parts, the master can process 54 pieces a day, and if the apprentice processes them alone, it can be completed in 17 days. Now two people are working at the same time. When the task is completed, the ratio of the number of parts processed by master and apprentice is 9:8. How many parts are there in this batch?
(15) Class 6 (1) The original 1/5 students took part in the labor, and then two students took the initiative to participate, so the actual number of participants was 65438+ the rest 0/3. How many people actually took part in the labor?
(16) has *** 100 big balls, 1/3 big balls1/0 small balls 16. How many balls and balls are there respectively?
(17) My mother bought 3kg of bananas and 2kg of pears * * * paid 13 yuan. As we all know, the unit price of pears is 2/3 of that of bananas. How much is a kilo of pears?
(18) The master and the apprentice made a batch of parts together, and the ratio of the parts made by the master and the apprentice was 9:7. Results When the task was completed, the master made 5/8 of the total, 30 more parts than originally planned. How many parts does the master plan to manufacture?
(19) A box of candy * * * has 80 pieces, which are distributed to two brothers. Brother eats his own 1/3, brother eats 10, and then eats 5. The remaining two people are just equal. How much did the two brothers get? & lt/P & lt; p & gt
(20) There are two ropes, and rope A is 35 meters longer than rope B. It is known that 1/9 of rope A is equal to 1/4 of rope B. How long are these two ropes?
Application problem 3
(1) The circumference of the bottom of a cylinder is 2/3 of the circumference of the bottom of another cone, and the height of this cone is 2/5 of the height of the cylinder. What is the volume of this cone?
(2) There is a cylinder/glass, which is measured to be 8 cm upright, and the depth of the medicine is 6 cm, which is exactly 4/5 of the contents of the glass. How much medicine can I add to fill the cup?
(3) There are two baskets of apples, and the number of apples in basket A is 365,438+0 less than that in basket B. If seven apples are taken out of basket A and put into basket B, the ratio of apples in basket A to basket B is 4: 7. How many apples are there in basket B now?
(4) Party A, Party B and Party C jointly produce a batch of parts. The parts produced by Party A are 1/2 of the total number of Party B and Party C, and the ratio of the total number of parts produced by Party A and Party C to the number of parts produced by Party B is 7: 2. Party C produces 200 parts. How many parts did Party A produce?
(5) The worker's master takes five minutes to make a part, and his apprentice takes nine minutes to make a part. After a period of time, the master and the apprentice made 84 parts together. How many parts did each of them make?
(6) For a right-angled trapezoid, the ratio of the upper bottom to the lower bottom is 5: 2. If the upper bottom is extended by 2 meters and the lower bottom is extended by 8 meters to become a square, what is the area of the original trapezoid?
(7) The ratio of team A and team B is 7: 8. If 30 people are sent from Team A to Team B, the ratio between Team A and Team B is 2: 3. How many people are there in Team A and Team B?
(8) It takes 20 hours for a truck to transport goods from the county to the mountains. The time to go back is 0.5 times that of 65438+. It is known that it is12km slower than when it comes back, and the round-trip distance can be calculated.
(9) If a project is jointly completed by two construction teams, it will take 65,438+02 days. It is known that the efficiency ratio of two construction teams is 2: 3. If this project is completed by team B alone, how many days will it take?
(10) A pile of coal was transported14 for the first time and 120 tons for the second time. At this time, the ratio of the remaining coal to the transported coal is 2/3. How many tons was this pile of coal?
(1 1) At the same time, two cars, A and B, were driving in opposite directions from two places and met six hours later. When they met, car A traveled 72 kilometers more than car B, and the speed ratio of the two cars was known to be 3: 2. Find the distance between the two places.
(12) Give a batch of chemical fertilizers to villages A, B and C, with village A getting14 and the rest to villages B and C. It is known that village C gets 12 tons of chemical fertilizers. How many tons are there in this batch of fertilizer?
(13) Party A and Party B divided a batch of goods according to the ratio of 5: 7. Team B transported 840 tons and completed 4/5 of the team's tasks. Later, due to other tasks, it was transported by team A. How many tons did team A actually transport?
(14) Team A and Team B have ***2 10 people. If110 is transferred from Team B to Team A, the ratio of Team A to Team B is now 4: 3. How many people are there in Team A?
(15) Three workers, Party A, Party B and Party C, made a batch of parts together. Party A processed 2/5 of the total, which was 125 more than Party B, and the proportion of products processed by Party B and Party C was 3: 2. How many parts are there in this batch?
(16) The ratio of freight car speed to passenger car speed is 3: 4, and the two cars are driving relatively from Station A and bilibili at the same time and meet at a distance of 6 kilometers from the midpoint. How far is the truck from bilibili when the bus arrives at Station A?
(17) A batch of pesticides came from Coral Township. The first day used 4/7, which was more than the second day 12kg. At this time, the ratio of pesticide consumption to residual amount is 27: 8. How many kilograms does this batch of pesticides weigh?
1, Xiaohua read a story book with a page of 120, and read 1 3 of the whole book on that day.
(1) 1 How many pages did you read this day? (2) How many pages are left unread?
2. Xiaohua read a story book, page 120, page 1 day 13, and the next day 14.
(1) 1 How many pages did you read this day? (2) How many pages did you read the next day? (3) How many pages have not been read?
Xiaohua read a story book with 120 pages. 1 On that day, he read the whole book with 13, and the rest with 14 the next day.
(1) How many pages did you read the next day? (2) How many pages are left unread? (3) How many times the number of pages read on 1 day is that on the second day?
Xiaohua read a story book. On the first 1 day, he read 13 of the whole book. The next day, he read the remaining 14, leaving six pages unread.
(1) How many pages does this story book have? (2) How many more pages were read on 1 day than the next day?
5. Xiaohua reads a story book. On 1 day, he read 13 of the whole book. The next day, he read the rest 14. On 1 day, he read 20 pages more than the next day.
(1) How many pages does this story book have? (2) How many times the number of pages read on 1 day is that on the second day?
6. Xiaohua reads a story book. On 1 day, he read 13 pages of the whole book, 20 pages the next day, and the remaining 14 pages the third day. There are still 38 pages left in the whole book.
(1) How many pages does this story book have? (2) How many pages are left unread?
7. A motorcycle completed a journey of 60 kilometers at an average speed of 20 kilometers per hour. On the way home, its average speed is 30 kilometers per hour. What is the average speed of the motorcycle during the whole round trip?
8. A batch of goods arrived at the station. On the first day, all the goods of 13 and 20 tons were shipped, and on the second day, all the goods of 14 and 30 tons were shipped. At this time, there are 30 tons of goods in the station. How many tons are there in this batch?
9. There is a batch of goods at the station. On the first day 13 was 20 tons short, and on the second day 14 was more 10 ton. At this time, there are 70 tons of goods in the station. How many tons are there in this shipment?
10, there is a batch of goods at the station. On the first day, 13 was 20 tons short, and on the second day, 14 was 20 tons short. At this time, the station still has 1 10 tons of goods. How many tons are there in this shipment?
1 1. There is a batch of goods at the station. On the first day 13, 20 tons of all goods were shipped, and on the second day 12, 25 tons of all goods were shipped. At this time, there are 37 tons of goods in the station. How many tons are there in this shipment?
12. There is a batch of goods at the station. All the goods were transported for the first time 13, and the goods less than 16 tons were transported for the second time. At this time, all the goods were shipped out. How many tons are there in this shipment?
13. There is a batch of goods at the station. On the first day, 23 of the total goods were transported less than 28 tons, and on the second day, 34 goods were transported less than 52 tons, which was just completed. How many tons are there in this shipment?
14. The chemical fertilizer plant plans to produce a batch of chemical fertilizers. On the first day, it produced 16 for all tasks, 14 for the remaining tasks on the second day, and 15 for the previous two days on the third day. Therefore, there are still 50 tons unfinished. How many tons of fertilizer does the fertilizer plant plan to produce?
15, mother bought eggs and duck eggs ***2 1, of which duck eggs accounted for 37; Later, my mother bought several duck eggs, accounting for 7 13 of the total number of eggs. Later, my mother bought some duck eggs.
16. There is a pile of bricks. After moving 14, 360 bricks were transported. At this time, the pile of bricks was 20% more than before. How many bricks are there in this pile?
17. The master and the apprentice made 200 parts together, and the master made 25% more than the apprentice15. How many parts did the apprentice make?
18, there is a mountain road. A car goes up the mountain at a speed of 30 kilometers per hour and returns from the original road at a speed of 50 kilometers per hour. What is the average speed of cars going up and down the mountain?
19, the master and the apprentice processed a batch of parts, and the number of parts processed by the master was 25 more than the total 12, and the number of parts processed by the apprentice was 13. How many parts are there in this batch?
20. Three convoys, A, B and C, delivered a batch of goods together. Team A delivered 14 of this batch of goods, team B delivered a part of it, and team C delivered 13 of this batch of goods, just all of which were shipped out. It is known that Team A shipped less 10 tons than Team C. How many tons did Team B ship?
2 1, Party A and Party B go to the bookstore to buy books and take them to 54 yuan. Party A spends 75% and Party B spends 45%, and the rest is exactly the same. How much did Party A and Party B originally bring?
22. Team A and Team B jointly built a 2500-meter-long highway. Team A completed 23 tasks assigned to it, while Team B completed 34 and 50 meters of tasks assigned to it, leaving 700 million meters untreated. How many meters are the tasks assigned by the two teams?
There are apple trees and pear trees in the orchard. The apple tree area is 4 hectares more than the total area 12, and the pear tree area 12. How many hectares of two kinds of trees have been planted?
24. There are two piles of coal in midsummer chemical general factory, weighing 2268kg. Take out 25 piles, 65438 piles, weighing 708kg. How many kilograms are there in raw coal piles A and B respectively?
25. Two workers, Party A and Party B, * * * simultaneously process 140 parts. A has completed 80% of his tasks, and B has completed 75% of his tasks. At this point, 32 parts of A and B * * * remain unfinished. How many parts do workers A and B need to make?
26. The master and apprentice * * * processed 540 parts, the master processed 34 of their assigned tasks, the apprentice processed 80% of their assigned tasks, and the remaining tasks were just equal. How many copies did the master and apprentice get respectively?
27. The school bought back 220 books of two kinds, took out 14 books of Class A and 15 * * 50 books of Class B, and lent them to students of Grade 5 (1). How many books did A and B buy back?
28. The school bought a batch of books, 49 of which are literature books, and the rest 1825 are math books. There are 20 fewer known math books than literature books. How many books are there in this batch?
Respondents: Dance Walking-Level 1 June 9, 200918: 08
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Other answers *** 1
Reported case 1 Ship A carries 595 tons of oil, and Ship B carries 225 tons of oil. How many tons of oil must be pumped from ship B to ship A to make the oil load of ship A reach four times that of ship B?
Analysis: First, find a reciprocal relationship. After ship B pumps some oil to ship A, the oil quantity of ship A is equal to four times that of ship B, namely:
Oil from ship A+oil pumped by ship B = (oil from ship B-oil pumped by ship B) ×4. We can assume that the oil pumped by ship B is X tons, and solve the equation by using the equivalence relation.
Solution: Suppose that X tons of oil are extracted from ship B, then
595+x=(225-x)×4
595+x=900-4x
4x+x=900-595
5x=305
x=6 1
Answer: 6 1 ton of oil must be pumped from B ship to A ship.
Both Party A and Party B set off from Xizhen to Dongzhen by bike at the same time. Party A travels every hour15km, and Party B travels every hour10km. After 30 minutes, Party A returned to Xizhen as soon as possible for official business, stayed in Xizhen for half an hour, and then went to Dongzhen as soon as possible. The result is 30 minutes later than Party B. Try to find out the distance between the two towns.
Analysis: A set out from Xizhen for 30 minutes, and it took another 30 minutes to return to Xizhen at the original speed because of something. After arriving in Xizhen, it was delayed for half an hour. A * * * was delayed by 0.5×3= 1.5 hours, but during the delay of A, B did not stay, so it can be considered that B left Xizhen earlier than A 1.
A speed ×x= B distance in front of A+B speed ×(x-0.5)
According to this equivalence relation, equations can be listed and solved.
Solution: Suppose it takes X hours for A to set off from Xizhen to Dongzhen for the second time, then
15x = 10×(0.5×3)+ 10(x-0.5)
15x= 15+ 10x-5
15x- 10x= 15-5
5x= 10
x=2
Substitute 15x = 15x2 = 30.
The distance between the two towns is 30 kilometers.
My elder brother is three times as old as my younger brother. The elder brother is the same age as the younger brother. The sum of the ages of elder brother and younger brother is 30. How old are brother and younger brother?
Analysis: When answering questions about age, it should be noted that the age gap between two people will not change after many years, and we can find the equivalent relationship according to this gap. If we assume that my brother is now X years old, because my brother and my brother are 30 years old, my brother is now 30-x years old, because my brother and my brother are the same age, so my brother is 30-x years old.
Their age gap remains the same.
Solution: Let my brother's age be X, then
Multiply both sides of the equation by 3, and you will get
6x-90=90-3x-x
6x+4x=90+90
10x= 180
x= 18
Substitute 30-x=30- 18= 12.
Answer: My brother 18 years old and my brother 12 years old.
Thinking: If my brother is now X years old, how to do the equation?
Three students, Xiaohong, Xiao Li and Xiao Qiang, each bought some exercise books with the same amount of money. Xiaohong bought 0.6 yuan, two less than Xiao Qiang, and Xiao Li bought 0.4 yuan, three more than Xiao Qiang. How many exercise books did Xiao Qiang buy? What is the price of each book?
Analysis: Suppose Xiao Qiang bought X exercise books, because Xiaohong bought 2 fewer than Xiao Qiang, so Xiaohong bought x-2, and Xiaoli bought 3 more than Xiao Qiang, so Xiaoli bought X+3. According to the same amount of money that three people spend on exercise books, an equation can be listed.
Solution: Suppose Xiao Qiang bought X exercise books, then
0.6×(x-2)=0.4×(x+3)
0.6x- 1.2=0.4x+ 1.2
0.6x-0.4x= 1.2+ 1.2
0.2x=2.4
x= 12
Substitute 0.6×(x-2)=0.6×( 12-2)=6.
6÷ 12=0.5
Xiao Qiang bought 12 exercise books, each in 0.5 yuan.
There are several bags of rice in the grain depot. For the first time, half of the stored rice was shipped out in 20 bags, and for the second time, the remaining half was shipped out in 10 bags. 200 bags were brought in for the third time, and there were 260 bags left in the grain depot. How many bags of rice were there in the original grain depot?
Analysis: Assuming that the original rice X package in the grain depot, more than half of the known stored rice was shipped out for the first time.
Subtract the first two shipments from the original M X package and add the third shipment, which is equal to 260.
Solution: Set the original rice X package in the grain depot, and then
x=240
A: It turns out that there are 240 bags of rice in the grain depot.
Example 6 Li Gang rode a bike from A to B, first riding uphill, and then riding flat road. After he arrived in B, he immediately went back to A, and it took him three hours to go back and forth. Li Gang rode 6 kilometers more on the flat road than on the uphill road, and 3 kilometers more on the downhill road than on the flat road. It is known that he rode 5 kilometers less in the first hour than in the second (he rode an uphill road and a flat road in the second hour) (2) How many minutes did it take to go downhill? (3) How many kilometers is the distance between Party A and Party B?
Analysis: Li Gang's driving route is from A → B → A, represented by A→A'
(1) It is known that the first hour is 5 kilometers less than the second hour, and Li Gang rides 6 kilometers more per hour on the flat road than on the uphill road, that is, the uphill road rides 6 kilometers less than the flat road, so Li Gang
Minutes, we can get Li Gang's climbing time.
(2) Because the second hour is 3 kilometers less than the third hour, the first hour should be 5+3 = 8 kilometers less than the third hour, that is, the third hour is 8 kilometers more than the first hour. Let's assume that in the third hour, the road was leveled for x hours, riding 6x kilometers more than in the first hour, and going downhill 1-x hours, riding (6+3) more than in the first hour (6544).
(3) Let the uphill road walk X kilometers per hour, because the flat road rides 6 kilometers more than the uphill road, and the flat road walks x+6 kilometers per hour, because the downhill road rides 3 kilometers more than the flat road, and the downhill road walks x+6+3 kilometers per hour. According to the uphill distance is equal to the downhill distance, the equation is listed.
Solution: (1) Because the uphill road is 6 kilometers less per hour than the flat road, and the first hour is more than the second.
Hours, so uphill * * * time:
(2) If the road is leveled for x hours and downhill for 1-x hours at the third hour, then
6x+(6+3)( 1-x)=8
6x+9( 1-x)=8
6x+9-9x=8
9-3x=8
3x=9-8
So it takes 60-20=40 minutes to go downhill.
(3) If the uphill road is X kilometers per hour, the flat road is x+6 kilometers per hour, and the downhill road is x+6+3 kilometers per hour, then:
Multiply both sides of the equation by 6, and then
7x=4(x+9)
7x=4x+36
3x=36
X= 12 (hour)
(km)
Answer: 70 minutes uphill and 40 minutes downhill. The distance between Party A and Party B is 24.5 kilometers.