Current location - Training Enrollment Network - Mathematics courses - 100 Calculation of Mathematical Problems (Binary Linear Equations)
100 Calculation of Mathematical Problems (Binary Linear Equations)
1) 66x+ 17y=3967

25x+y= 1200

Answer: x=48 y=47.

(2) 18x+23y=2303

74x-y= 1998

Answer: x=27 y=79

(3) 44x+90y=7796

44x+y=3476

Answer: x=79 y=48

⑷76x-66y = 4082

30x-y=2940

Answer: x=98 y=5 1.

(5) 67x+54y=8546

7 1x-y=5680

Answer: x=80 y=59

1.2x+9y=8 1

3x+y=34

2.9x+4y=35

8x+3y=30

3.7x+2y=52

7x+4y=62

4.4x+6y=54

9x+2y=87

5.2x+y=7

2x+5y= 19

6.x+2y=2 1

3x+5y=56

7.5x+7y=52

5x+2y=22

8.5x+5y=65

7x+7y=203

9.8x+4y=56

x+4y=2 1

10.5x+7y=4 1

5x+8y=44

1 1.7x+5y=54

3x+4y=38

12.x+8y= 15

4x+y=29

13.3x+6y=24

9x+5y=46

14.9x+2y=62

4x+3y=36

15.9x+4y=46

7x+4y=42

16.9x+7y= 135

4x+y=4 1

17.3x+8y=5 1

x+6y=27

18.9x+3y=99

4x+7y=95

19.9x+2y=38

3x+6y= 18

20.5 times +5y=45

7x+9y=69

2 1.8x+2y=28

7x+8y=62

22.x+6y= 14

3x+3y=27

23.7x+4y=67

2x+8y=26

24.5x+4y=52

7x+6y=74

25.7x+y=9

4x+6y= 16

26.6x+6y=48

6x+3y=42

27.8x+2y= 16

7x+y= 1 1

28.4 times +9y=77

8x+6y=94

29.6x+8y=68

7x+6y=66

30.2x+2y=22

7x+2y=47

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?

2. A factory bought 56 tons of materials A and B, which cost 9860 yuan. If material A is per ton 190 yuan, and material B is per ton 160 yuan, how many tons will each of the two materials be bought?

3. Someone bought two stocks, A and B, for 24,000 yuan, and sold them when A stock appreciated 15% and B stock fell 10%, making a profit 1350 yuan. How much did someone buy?

2. There are two types of bonds, A and B, with annual interest rates of 65,438+00% and 65,438+02% respectively. The existing 400 yuan bonds will be profitable in 45 yuan after one year. How much are the two bonds?

3. There are three kinds of beverage packages, 1 medium bottle is 20 cents cheaper than 2 small bottles, 1 large bottle is 40 cents more expensive than 1 medium bottle and 1 small bottle, and 1 large, medium and small bottles will cost 60 cents in 9 yuan. How much is each bottle of three kinds of packaged drinks?

4. A class of students went to Beishan for an outing, 18km. There is only one car, so it needs to be divided into two groups. Group A takes the bus first, and Group B walks. When the bus arrives at A, Group A gets off and walks, and the bus returns to Group B. Finally, the two groups arrive at Beishan Station at the same time. Given the speed of 60 km/h and the walking speed of 4 km/h, find the distance from point A to Beishan Station.

5. First-year students go to the restaurant for a meeting. If every four people sit on a bench, 28 people have no place to sit. If six people are sitting on a bench, find out the number of first-year students and benches.

6. Two trains leave from two places facing each other at the same time, 9 10 km apart, and meet after 10 hour. If the first train leaves 4 hours and 20 minutes earlier than the second train, then meet after the second train leaves 8 hours and find the speed of the two trains.

7. Buy A-class books 10, B-class books 16 * * * Pay 4 10 yuan. Books of Class A are more expensive than books of Class B 15 yuan. How much do you want to buy a and b books?

8. Party A and Party B set out from Party A and Party B at the same time, met for the first time 50 meters outside the midpoint of Party A, and immediately turned around and walked back after arriving at Party B and Party A.. So, Party A and Party B met for the second time at a distance of 0/00 meters from Party A/KLOC-to find out the distance between Party A and Party B. ..

9. An engineering vehicle loads cement poles from the warehouse and transports them to the roadside only 1000 meters away from the warehouse. It is required to plant poles every 100 meters on one side of the road. It is known that the engineering vehicle can only transport four poles at a time, and it is required to complete the transportation task of 18 poles and transport them back to the warehouse. If the fuel consumption of an engineering vehicle is m liters per kilometer (the fuel consumption is only related to the driving distance) and the gasoline is n yuan per liter, seek the lowest fuel consumption to complete this task.

10. A family had a balance of 5,000 yuan the year before and 9,500 yuan last year. It is known that income increased 15% and expenditure decreased 10% last year. What was the income and expenditure of this family last year?

1 1. Someone renovated the house, and the original budget was 25,000 yuan. During the renovation, the material cost decreased by 20%, the salary increased by 10%, and the actual cost was 2 1500 yuan. What is the cost and salary of raw materials?

12. Company A and Company B received 9000 yuan in cash last year and 12700 yuan this year. It is known that A's cash will increase by 50% and B's by 30% this year. What is their cash share this year?

13 ... Some students live in the dormitory. If there are 4 people in each room, that's 20 people. If there are 8 people in each room and one room is empty, it is not satisfactory. How many dormitories and students are there?

14 ... A transportation company has two kinds of trucks, two big cars and three small cars can transport 15.5 tons, five big cars and six small cars can transport 35 tons, and the customer king has 52 tons of goods. It is required to transport the goods in the same number of trucks at one time. How many big trucks and small trucks do you need?

15. If the correspondent wants to arrive at a certain place within the specified time, he can walk15km every hour and then arrive at a certain place 24 minutes in advance; If you walk 12 kilometers per hour, you will be late 15 minutes. How many kilometers does it take for a reporter to reach a certain place? And how many hours was the initial time?

16. There is a pasture where the grass grows at a constant speed every day (the amount of grass growth every day is equal). If you graze 24 cows, you will eat the grass in 6 days. If you graze 2 1 cow, it will be finished in 8 days. Let each cow eat the same amount of grass every day. Q:

1. If you graze 16 cows, how many days can you finish grazing?

2. How many cows can you graze in order to keep the pasture inexhaustible?

17. There are 150 workers who produce screws and nuts respectively. One person produces 500 screws or 300 nuts every day. One screw with two nuts. How many workers are arranged to produce screws and nuts respectively?

18. At present, there are three kinds of coins * * * 14, namely 1 and 55438+0 yuan, with a total face value of 70 in 5 yuan. Among them, 1 has three more coins than 50. How many coins are there in each of these three kinds of coins?

19. 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, you have to walk 3 kilometers to get to the bridge. How far is this bridge from A? How long did it take?

20. 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 have been rented twice in recent times as follows: the number of vehicles for the first time is 2, and the number for the second time is 5; Class b trucks are 3 for the first time and 6 for the second time; Cumulative freight tonnage 15.5 tons for the first time and 35 tons for the second time.

(1) How many tons of goods are each transported by two trucks?

(2) At present, the company leases 3 Class A trucks and 5 Class B trucks, and the goods have just been delivered at one time. If the freight per ton is calculated in 30 yuan, what is the main freight for the goods?