1. Lily and her family went to the bookstore to buy books and fell in love with a book at the same time. Finally, Lily bought one with three-fifths of her own money and two-thirds of her own, and the remaining money of Lily was five yuan more than that of her family. How much money do they each have? How much are these books?

Let Lili have X yuan, and every family has Y yuan.

3/5 times = 2/3 years

2/5x= 1/3y+5 (Lily has 2/5 left, and 1/3)

X=50 y=45 when solving a quadratic equation, that is, Lily 50 yuan's 45 yuan book 30 yuan.

2. A car consumes 4/5 kilograms of fuel per line for 8 kilometers, and how many kilometers per kilogram of gasoline is feasible on average. How many kilograms does driving 1 km consume?

8 divided by 4/5= 10 (km/)

4/5 divided by 8=0. 1 (kg)

3. A motorcycle 1/2 hours for 30 kilometers. How many kilometers does it travel per hour? How many hours does it take him to drive 1 km?

30 ÷1/2 = 60km1÷ 60 =1/60h.

Four out of seven students reading in the reading room are boys. After five male students walked out of the reading room, twelve of the twenty-three were female students. How many students were reading in the original reading room?

There are x students, and the number of girls remains the same, so (1-4/7) x = (x-5) *12/23.

Find x=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?

62-24=38 (only)

3/5 red =2/3 yellow

9 Red = 10 Yellow Red: Yellow = 10:9

38/( 10+9)=2

Red: 2* 10=20

Yellow: 20*9= 18

There are 36 students reading 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 accounted for 3/5 of the number of students. Later, several female students came.

Original female student: 36×4/9= 16 (person)

Former male classmate: 36- 16=20 (person)

Total number of employees: 20( 1-3/5)= 50 (persons)

Female: 50×3/5=30 (person)

Number of female students: 30- 16= 14 (person)

7. When water turns into ice, its volume is110, 2. 16 cubic meters of ice melts into water, what is its volume?

2.16/(1+11) =1.98 (m3)

8. Party A's grain is 560 tons. If 2/9 of Party A's grain is shipped to Party B, Party A's grain is exactly the same. How many tons of grain does Party A have? How many tons of grain does B have?

Now both parties have their own.

560 ÷ 2 = 280 tons

It turns out that Jia has

280 ÷ (1-2/9) = 360 tons.

It turns out that b has it.

560-360 = 200 tons

9. The price reduction of TV sets in 200 yuan is 2/ 1 1. What's the price of this TV set now?

The original price is

200 ÷ 2/ 1 1 = 2200 yuan

The current price is

2200-200 = 2000 yuan

10。 Car A has traveled more than 2/5 kilometers from A to B.. At this time, there are still 70 kilometers from B. How many kilometers are there between A and B?

Full time

1-2/5=3/5

be

20+70 = 90km

Distance between Party A and Party B

90 ÷ 3/5 =150km

1 1. Xiaoming reads books. On the first day, he read 28 pages. The next day, he read the whole book 1/5 (1). Last two days, * * * read 3/8 (8/3) of the whole book. How many pages does this book have?

What I read on the first day accounted for the whole book.

3/8- 1/5=7/40

This book * * * has

28/7/40 = 160 page

12. Both the master and the apprentice are processing a batch of parts. After a period of processing, the master processed 84 parts. The apprentice made 63 parts. The master works more than the apprentice, accounting for 1/28 of all tasks. How many parts are there in this batch?

Suppose this batch has x parts.

1/28X=84-63

1/28X= 19

X=532

So there are 532 parts in this batch.

13. A barrel of oil, after eating 7/ 10, added 15 kg. At this time, the oil in the barrel is exactly half of that in a barrel. How much does this barrel of oil weigh?

15 ÷ (7/10-1/2) = 75 (kg)

14. A train runs from Shanghai to Tianjin, accounting for 3/5 of the whole journey. If you drive at 106 km/h, you can reach Tianjin in five hours. How many kilometers is the railway from Shanghai to Tianjin?

( 106*5)/( 1-(3/5))

=530/0.4

=1325km

15. There are 46 students in grade six who participate in math interest groups, among which 4/5 girls are 3/2 times as many as boys. How many boys and girls joined the interest group?

The ratio of male to female students is 4/5: 3/2 = 8: 15.

Number of boys: 46/(8+ 15)*8= 16.

The number of girls is 46- 16=30.

16. It takes Zhang Hong five hours to copy a manuscript. This manuscript has been copied by others 1/3, and the rest was given to Zhang Hong. How many hours does it take to copy it?

( 1- 1/3)/( 1/5)= 10/3

It takes 3 1/3 hours to complete the replication.

17. Two trains leave from two cities 600 kilometers apart at the same time. One train runs at 60 kilometers per hour, and the other train runs at 75 kilometers per hour. How many hours will the two trains meet?

600/(60+75)=40/9 (hours)

After 40/9 hours, the two cars can meet.

18. A motorcycle travels 64 kilometers per hour. It takes 3/4 hours to find this speed from a to b. What is the distance between a and b?

64× 3/4 = 48km

19. The fruit shop sold a batch of fruits in two days. On the first day, 3/5 of the total fruit weight was sold, 30 kilograms more than the next day. How many kilograms are there in this batch of fruit?

If you sell 3/5 of the total weight of fruit on the first day, you will sell 2/5 the next day.

3/5-2/5= 1/5, the first day is more than the second day,

30 ÷ 1/5 = 150kg，

The formula is,

1-3/5=2/5

3/5-2/5= 1/5

30/1/5 =150kg

20. Jessie Primary School has 9 10 students, seven quarters of whom are girls. How many are girls? How many boys are there?

9 10 * 4/7 = (9 10 * 4)/7 = 520 ...

9 10-520=390 ... boys

2 1. A rectangular piece of land is 60 meters long and 2/5 wide. What is the area of this land?

4/5*5/8=(4*5)/(5*8)= 1/2 (m)

4/5- 1/2 = 8/ 10-5/ 10 = 3/ 10(m)

22. The ratio of red goldfish to black goldfish in the goldfish pond is 7:3. There are 9 black goldfish. How many red goldfish are there?

9 ÷ 3× 7 = 2 1

Grade 23.6 students 132, in which the ratio of male to female students is 6: 5. How many boys and girls are there in the sixth grade?

132 ÷ (6+5) = 12 people

Male students have

12× 6 = 72 people

Female students have

12× 5 = 60 people

24. The ratio of A to B is 2:3, and the ratio of B to C is 4:5. Find the ratio of a to C.

A: B = 2: 3 = 8: 12。

B: C = 4: 5 = 12: 15。

A: B: C = 8: 12: 15.

A: C = 8: 15

25. The number of trees planted in Jiefang Road Primary School this year is 65438+ 0.2 times that of last year. Write down the ratio between the number of trees planted in this primary school this year and the number of trees planted last year.

1.2: 1=6:5

Last year, the ratio of the output of color TV sets to the total output of TV sets in a TV factory was 9/20. Last year, * * * produced 250,000 TV sets, including how many color TV sets?

250000× 9/20 =112500 sets.

27. Workers in a factory account for two-thirds of the total number of employees in the factory, technicians account for two-ninth of the total number of employees in the factory, and the rest are cadres. Write down the proportion of workers, technicians and cadres in this factory.

Cadres account for 10% of the total factory employees.

1-2/3-2/9 = 65438/9+0

The ratio of workers, technicians and cadres in this factory is

2/3: 2/9: 1 = 6: 2: 1.

The number of students in a class is between 40 and 50, and the ratio of male to female is 5:6.

How many boys and girls are there in this class? ..

Because the number of people is an integer,

So the class size can be divisible by 5+6 = 1 1.

So the class size is 44.

Boys have

44 ÷ (5+6) × 5 = 20 people

Girls have

44-20 = 24 people

29. The ratio of science and technology books to literature and art books in the library is 4: 5. After purchasing 300 works of art, the ratio of science and technology books to literature and art books is 5: 7. What percentage of literature and art books have increased?

Original literary works: 300 ÷ (7/12-5/9) =10800 (this).

The number of literary and artistic books increased: 30010800 ≈ 2.8%.

30.100g sugar water just fills a glass, including10g sugar. Pour out10g sugar water from the cup, and then fill the cup with water. What's the ratio of sugar to water in the quilt?

It turns out that the water in it is 90 and the sugar is 10.

Pour out 10g, with 90 left, including 8 1 water and 9 sugar.

Fill it with water, the water is 9 1, and the sugar is still 9.

That is 9/9 1.

3 1. There are only 175 students in grades 5 and 6. Divide into three groups to participate in the activities. The ratio of the first group to the second group is 5: 4, and the third group has 67 people. How many people are there in the first and second groups?

(1) The first and second groups have 175 students * * -67 students = 108.

(2) A group has 108 students ×5/9=60 students.

(3) There are 108 people in the second group ×4/9=48 people.

32. There are 465 students in a school, of whom 2/3 are girls and 20 are less than 4/5 boys. How much is the male and female?

Two thirds of the girls are 20 less than four fifths of the boys.

Girls are less than boys by 20/(2/3)= 30(4/5)/(2/3)= 6/5.

Boys have

(465+30)/( 1+6/5)=225 (person)

Girls have

465-225=240 (person)

33. For a manuscript, 1 7 was typed on the first day, and 2/5 was typed on the second day. The next day was nine pages more than the first day. How many pages are there in this manuscript?

9 divided by (2/5-65438/7+0)

=9 divided by 9 of 35.

=35 pages

This manuscript has 35 pages.

34. On a piece of land, the aspect ratio is 8: 5, and the length is 24 meters more than the width. How many square meters is this land?

If the length is 8 and the width is 5, it is more than 3, which is 24 meters.

Then one is: 24/3=8 meters.

That is, the length is 8 * 8 = 64m and the width is 8 * 5 = 40m.

Area: 64 * 40 = 2560m2.

35. If there are 25% more boys than girls, how many girls are less than boys?

Female students 1.

For boys, 1+25% = 125%.

The number of girls is less than that of boys (125%-1) ÷125% = 20%.

36. This breeding factory has raised 65,438+0,987 pigs this year, which is three times less than that of last year, that is, 245 pigs. How many more pigs have been raised this year than last year?

Raising pigs last year: (1987+245)/3=744.

Raise more pigs this year than last year: 1987-744= 1243.

37. The ratio of Xiao Wei and Xiaoying's donation to Project Hope is 2:5. Xiaoying donated 35 yuan. How much did Xiao Wei donate?

Let Xiao Wei donate X yuan.

So 2:5=X:35: X= 14 yuan Xiaowei donated 14 yuan.

38. All three averages are 8.4, of which the first number is 9.2, and the second number is 0.8 less than the third number. What is the third number?

The third number is 8.4.

Solution: Let the third number be x and the column equation be:

3*[9.2+(x-0.8)+x]=8.4

The solution is x=8.4.

39. There are two ropes. The length of the first rope is 1.5 times that of the second rope, and the second rope is 3 meters shorter than the first rope. How long are these two ropes?

If the length of the second root is x meters, the length of the second root is 1.5x meters.

1.5x-x=3

0.5x=3

x=6

6× 1.5 = 9 (m)

The first one is 6 meters long.

The second one is 9 meters long.

40. The construction team built a road, and the repaired length and the remaining ratio were 4: 5. If you build another 25 meters, it will just reach the midpoint of this road. What is the total length of this road?

4+5=9

Solution: Let this road be x meters long:

(5/9-4/9)x=25

1/9x=25

x=225

This road is 225 meters long.

Interviewee: Lealun-Level 2 2010-7-14 07: 36.

Reply *** 1

Report (transport) teachers and students of a school to two factories, A and B. If 9 people are drawn from factory A to factory B, the number of people in the two factories is the same; If five people are drawn from factory B to factory A, and the number of people in factory A is twice that of factory B, what is the number of people in each factory?

Solution: the number of people in factory a is x, and the number of people in factory b is y.

There are two equal relationships in the problem: 1, and the number of people who arrive at a factory after drawing 9 people = the number of people who arrive at b factory.

The countable equation is: x-9=

2. The number of people who arrive at the factory after drawing 5 people =

The countable equation is:

(Financial distribution) Xiaohua bought stamps of 10 and 20 stamps of *** 16, which cost 2.50 yuan. How small are the 10 stamps and 20 stamps he bought? Solutions; Set * * * to buy X 10 stamps and Y 20 stamps.

Two equal relations in the problem:

1, 10 stamps +20 stamps = total number of stamps.

The countable equation is:

2. Total price 10 stamp+= total price of all stamps.

The countable equation is: 10X+ =

Xiaolan works in a toy factory. It takes 3 hours and 42 minutes to make 4 puppies and 7 cars, and 3 hours and 37 minutes to make 5 puppies and 6 cars. How long does it take to make 1 puppy and 1 car on average?

Two equal relations in the problem:

1, the time is four puppies +=3: 42.

The countable equation is:

2.+ Time to make six cars =3: 37.

The countable equation is:

(Travel problem) A and B are 6km apart and walk in the same direction. A can catch up with B within 3 hours; Walk in opposite directions and meet within 1 hour. What is their average speed? Solution: Let A walk X kilometers per hour and B walk Y kilometers per hour.

Two equal relations in the problem:

1, walking in the same direction: distance of A = distance of B+

The countable equation is:

2. Go in the opposite direction: the distance of A+=

The countable equation is:

A city has a population of 420 thousand. One year after the plan, the urban population will increase by 0.8% and the rural population will increase by 1. 1%, so the population of the whole city will increase by 1%. What is the current urban and rural population of this city?

Solution: At present, the urban population of this city is X million, and the rural population is Y million.

Two equal relations in the problem:

1, current urban population+= current total urban population.

The countable equation is:

2. The increased urban population next year+= the total population of the whole city next year.

The countable equation is: (1+0.8%) x+=

(Distribution problem) A kindergarten divides apples. If everyone has three apples, there are two left. If everyone has four apples, there is one less than 1. How many children are there in the kindergarten? Solution: There are X children in kindergarten and Y children in Pingguo.

Two equal relations in the problem: 1, the total number of flat fruits = 3 points per person+

The countable equation is:

2. Total number of apples =

The countable equation is:

(Concentration distribution) Prepare 45% saline 12kg, with 10% saline and 85% saline. How much do you need for each of these two kinds of brine?

Solution: Let the salt water with salt content of 10% be X kg and the salt water with salt content of 85% be Y kg. Two equal relations in the problem:

1, salt content 10% salt water+salt content in 85% salt water =

The countable equation is: 10%x+ =

2. Weight of salt water containing 10%+weight of salt water containing 85% =

The countable equation is: x+y=

(Financial appropriation) How much does it cost to mix candy sold in 4.2 yuan with candy sold in 3.4 yuan to make 200 kilograms of mixed candy sold in 3.6 yuan? Solution: Suppose that each kilogram of candy sold in 4.2 yuan is X kilograms, and each kilogram of candy sold in 3.4 yuan is Y kilograms.

Two equal relations in the problem:

1, with the total selling price of candy sold in 4.2 yuan per kilogram+=

The countable equation is:

2. The weight of candy is 4.2 yuan+= per kilogram.

The countable equation is:

(Geometric allocation problem) As shown in the figure, eight identical rectangles are used to form a large rectangle with a width of 48 cm. What is the length and width of each small rectangle? Solution: Let a small rectangle be x cm long and y cm wide.

Two equal relations in the problem:

1, length of small rectangle+= width of large rectangle.

The countable equation is:

2. Length of small rectangle =

The countable equation is:

A table consists of a table top and four legs. With 1 m3 of wood, you can make 50 tables or 300 legs. There are 5 cubic meters of wood. How to distribute wood to match the table top and legs?

Solution: Use

Two equal relationships in the title: 1, wood for desktop+=

The countable equation is:

2. Total number of all desktops: total number of all branches =

The countable equation is:

(Sum and difference multiplied by problem) A two-digit number, the number in the tenth place is 5 larger than the number in the first digit. If the number in the tenth place is exchanged with the number in the first place, the new two-digit number is 9, which is less than half of the original two-digit number. How to find this two-digit number?

Solution: Let one digit be X and ten digits be Y. Two equal relations in the problem:

1, unit number = -5

The countable equation is:

2. New two digits =

The countable equation is:

(Distribution and Transportation) A batch of goods is to be transported to a certain place, and the owner is going to rent two kinds of trucks from the automobile transportation company. It is known that these two kinds of trucks were rented in the past as shown in the left table. Now we rent five kinds of trucks of the company and six kinds of trucks of the company, and the goods are just delivered at one time. How many tons are these goods?

Solution: Suppose.

Two equal relations in the problem:

1, the first time: the weight of goods transported by truck A+=36.

The countable equation is:

2. The second time: the weight of goods transported by truck A+=26.

The countable equation is:

Detection of application problems of binary linear equations and re-exploration of practical problems

◆ Classification training of knowledge points

Knowledge point 1

1. There are 32 boys and girls in the class, and half of the girls are less than the total number of boys 10. If the number of boys is X and the number of girls is Y, the equation can be listed as follows.

2. The sum of numbers A and B is 10, and the difference is 2. If the number a is x and the number b is y, the equation can be listed as follows

3. If two solutions of the equation y=kx+b are known, then k= b=

The current annual output value of a factory is 6.5438+0.5 million yuan. If an additional investment of 654.38+0.000 yuan can increase the annual output value by 2,500 yuan, assuming an additional investment of X million yuan and a total output value of Y million yuan, then the equations satisfied by X and Y are as follows

5. The school used 250 yuan to buy 35 movie tickets * * * in which A ticket is for 8 yuan and B ticket is for 6 yuan. Let A ticket be X and B ticket be Y, and then list the equations. The solution of the equations is

6. A wooden stick is 8 meters long and divided into two sections, one of which is 1 meter longer than the other. In order to find the length of these two sections, suppose that one section is x meters and the other section is y meters, then the binary linear equation of the column is

7. If the circumference of a rectangle is 20 cm and the length ratio is 2 cm, then the length and width of the rectangle are both cm.

8. Athletes in a school are trained in groups. If there are 7 people in each group, the remaining 3 people; If there are 8 people in each group, there are 5 people missing; Let the number of athletes be x and the number of groups be y, then the equations are ().

9. When the speed of the ship is 40 km/h downstream and 26 km/h downstream, the speed of the ship in still water is

_ _ _ _ _ _ _, and the water flow speed is _ _ _ _.

10. A car starts from place A and goes east. On the way, it must pass a bridge. It takes the same time. If the speed is 60 kilometers per hour, you can cross the bridge for 2 kilometers. If the speed is 50 kilometers per hour and it is only 3 kilometers away from the bridge, then the distance from A to the bridge is _ _ _ _ kilometers, which takes several hours. Think of the bridge as a point. )

1 1, the length of the rectangular lawn is twice the width, 10m, the perimeter is 132m, and the width and length are _ _ _ _ _.

12. A batch of books was distributed to a group of students, with 6 books each and 5 books each. The group * * * has _ _ _ students, and this batch of books * * * has _ _ _ _ _.

13. There are 246 students in a certain grade, including 3 boys less than girls and 2 times less than girls. How many boys and girls are there? Let the number of girls be x and the number of boys be y, then the system of equations _ _ _ _.

14, length of rope a and rope b * * * 17m. If the rope A is subtracted and the rope B is increased by 1m, and the lengths of the two ropes are equal, how many meters are the two ropes A and B respectively? If rope a is x(m) and rope b is y(m), equation () can be listed.

15. As we all know, the Yangtze River is 836 kilometers longer than the Yellow River, and the length of the Yellow River is six times that of the Yangtze River, that is, 1284 kilometers ... Let the lengths of the Yangtze River and the Yellow River be x(km) and y(km), respectively, then the equations can be listed.

16. There are 32 boys and girls in the class, and half of the girls are less than the total number of boys 10. If the number of boys is X and the number of girls is Y, the equation can be listed as follows.

17 and the sum of a and b is 10, with a difference of 2. If a is x and b is y, the equation can be listed as follows

18, k= b= if two solutions of the equation y=kx+b are known.

19. The current annual output value of a factory is10.5 million yuan. If every increase in investment 1000 yuan can increase the annual output value by 2500 yuan, assuming that the new investment is X million yuan and the total output value is Y million yuan, then the equation satisfied by X and Y is

On the 20th, the school used 250 yuan to buy 35 movie tickets * * *, including a ticket for each 8 yuan and a ticket for each 6 yuan. Let A ticket be X and B ticket be Y, then the equations are listed. The solution of the equations is

2 1, a wooden stick is 8 meters long and divided into two sections, one of which is longer than the other 1 meter. In order to find the length of these two sections, suppose that one section is x meters and the other section is y meters, then the binary linear equation of the column is

22. If the circumference of a rectangle is 20 cm and the length ratio is 2 cm, then the length and width of the rectangle are both cm.

23.7 (2) Class has 6 teachers and 30 students, of whom 60% are boys. If you draw a fan-shaped statistical chart of the number of all teachers and students in this class, the central angle of the fan-shaped boys is.

24. Xiaoli used 250 yuan money to buy an item in a supermarket and found that the price of each item was 2.5 yuan/piece, but the promotional advertisement in the supermarket indicated that if she bought more than 100 pieces (excluding 100 pieces), the price was 2.4 yuan/piece, so she could only buy one item at most with her money.

25. A classmate bought 80 cents stamps and 1 yuan stamps for 16 yuan. It is understood that the one-dollar stamp he bought is two less than the eighty-point stamp. If he buys 80 cents stamps, the equation is () according to the meaning of the question.

26. The purchase price of a commodity is 15 yuan, and the price is 22.5 yuan when it is sold. Because the market is depressed and the sales situation is not good, the store is prepared to reduce the price, but to ensure the profit rate is not lower than 10%, then the store will reduce the price by _ _ _ _ _ yuan at most to sell the goods.

27. There was a shop that priced a commodity at the purchase price plus 20%, but it could not be sold. Later, the boss reduced the price in 96 yuan by 20% and sold it quickly. Then the profit and loss of this business is ()

A, earn 6 yuan B, lose money or earn C, lose 4 yuan D, and lose 24 yuan.

28. A prize-winning knowledge contest was organized in the class. Xiaoming bought 30 notebooks and pens with a class fee of 100 yuan. In view of 2 yuan for each notebook and 5 yuan for each pen, Xiao Ming can buy at most one pen ().

a，20 B， 14 C， 13 D， 10。

29. A store can make a profit of 25% by selling a batch of clothes 150 yuan. Find the cost price of this kind of clothes. Let the cost price of this kind of clothing be X yuan, then the equation is ().

a、 150-xx =25% B、 150-x=25% C、x= 150×25% D、25%？ x = 150

30. The school canteen sells two kinds of bread with the same thickness and different sizes. The small cake is 30 cm in diameter and costs 30 cents, while the big cake is 40 cm in diameter and costs 40 cents. You prefer to buy _ _ _ _ _ _ _ _ _ cakes at the price of _ _ _ _ _.

3 1, a book mall offers preferential activities to students, and all books purchased at one time that do not exceed 200 yuan will be given a 10% discount, those that exceed 200 yuan will be given a 9% discount, and those that exceed will be given an 8% discount. When a student buys a book, he pays 72 yuan once and gets a 20% discount for the second time. He checked the pricing of the books he bought and found that he saved 34 yuan money twice. Then the student actually paid _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ yuan for the second book purchase.

32. A raw material supplier implements the following preferential measures for customers who purchase its raw materials: (1) No discount will be given if the one-time purchase amount does not exceed 1 10,000 yuan; (2) A one-time purchase of more than 6,543,800 yuan, but not more than 30,000 yuan, enjoys a 10% discount; (3) If the one-time purchase amount exceeds 30,000 yuan, 30,000 yuan will be given a 10% discount, and the part exceeding 30,000 yuan will be given a 20% discount. A factory paid 7800 yuan for the first purchase of raw materials from suppliers and 26 100 yuan for the second purchase due to inventory reasons. If he buys the same raw materials at one time, he can pay less ()

A, 1460 yuan b, 1540 yuan c, 1560 yuan d, 2000 yuan.

33. In the seventh grade football round robin, it is stipulated that the winner will get 3 points, the draw will get 1 point, and the loser will get 0 point. Now Class 7 (I) played 8 games and got 19 points. So the status quo of Class Seven (1) is _ _ _ _ _ _ _ _ _.

Knowledge point 2 ancient problems

1. Old question: "I asked Li Sangong about opening a store, and all the guests came to the store. There are seven guests in one room, nine guests in one room, and one room is empty. " Then there were _ _ _ _ _ rooms with _ _ _ guests.

2. Today, there are large and small rice barrels, 5 large barrels plus 1 small barrel, which can hold 3 hectares of rice; 1 The vat and five small vats can hold 2 tons of rice. Find out how many meters the big barrel and the small barrel are filled with (call: the name of the ancient measuring instrument). If there are x tons of rice in a big barrel and y tons of rice in a small barrel, the equation can be listed as _ _ _ _ _ _ _.

3. "Today, the chicken and the rabbit are in the same cage, with 35 heads above and 94 feet below. Ask chickens and rabbits about their geometry. " Topic: At present, chickens and rabbits are in the same cage, with 35 heads above and 94 feet below. How many chickens and rabbits are there?

There are some mathematical problems written in fairy tales in Greek anthology. For example, the topic of mule carrying goods was once adapted by the great mathematician Euler. The topic is this: the donkey and mule are carrying goods side by side on the road, and the donkey keeps complaining that the goods they carry are too heavy to bear. The mule said to the donkey, "What are you complaining about?" The goods I brought are heavier than yours. If you give me a bag of goods, I will carry twice as much goods as you. If I give you a bag, we will carry the same amount of goods. "How many bags of goods can donkeys and mules carry?

Can you solve this problem with equations?

◆ General application problems of regularization method

There are three fewer basketball teams in our school than there are twice as many football teams, and the ratio of basketball to football is 3: 2. How many people are there in these two teams?

There are 48 teams and 520 athletes participating in a basketball and volleyball match, including basketball team 10 and volleyball team 12. How many teams are taking part in basketball and volleyball matches?

There are 48 teams and 520 athletes participating in a basketball and volleyball match, including basketball team 10 and volleyball team 12. How many teams are there in basketball and volleyball?

There are two kinds of metals, A and B. 16 parts of A is equal to 33 parts of B, and 55 parts of B is 7 grams heavier than 40 parts of A.. How many grams of each metal do you want?

The second workshop of a factory has 30 fewer people than the first workshop. If 10 people are transferred from the first workshop to the second workshop, the number of people in the second workshop is three quarters of that in the first workshop. How many people are there in each of these two workshops?

Xiao Li is one fifth of his grandfather's age this year. Xiao Li found that after 12, his age became one third of his grandfather's. Try to find out Xiao Li's age this year.

Xiaoming and Xiao Liang play addition games. Xiao Ming wrote an extra 0 after an addend, and the total is 242. Xiao Liang wrote an extra 0 after one addend, and the total was 34 1. What are the first two addends?

(Sum difference, trip problem) A highway of more than 5 meters was built in the first day of junior high school; The next day, the whole road was repaired by a fifth, leaving 14 meters. How long is this road?