2. There is such a passage in Arabian Nights. There is a flock of pigeons, some singing in the trees, others are foraging on the ground. A pigeon in the tree said to the pigeons foraging on the ground, "If one of you flies, the pigeons under the tree are the whole flock of pigeons1/3; If one flies down from the tree, there will be as many pigeons on the tree as under it. " How many pigeons are there on and under the tree?
3. In order to alleviate the shortage of electricity consumption, a charging scheme for peak and valley electricity was introduced in a certain place: it is called peak electricity from 8: 00 to 22: 00 every day, and it is called valley electricity from 22: 00 to 8: 00 the next day at 0.28 yuan. In August, the total electricity consumption of Xiao Li's family was 125 kwh, and the total electricity fee was 49 yuan. Excuse me, what is the peak power consumption of Xiao Li in August?
1. A student asked the teacher, "How old are you this year?" The teacher said humorously, "you were born when I was your age;" When you reach my age, I will be 37 years old. "How old are the teachers and students this year?
The circumference of the rectangle is 44 cm. If the width is 3 times the length by 6 cm, what is the length and width of the rectangle?
3. It is known that the height of trapezoid is 7, the area is 56cm2, and its upper bottom is 4cm more than one third of its lower bottom. What are the lengths of the top and bottom sides of the trapezoid?
4. Class 1 and Class 2 104 of a school visited the museum. There are less than 50 students in Class One and more than 50 students in Class Two. Known museum tickets are as follows: 1 ~ 50 people to buy tickets, fare 13 yuan/person; 5 1 ~ 100 people tickets 1 1 yuan/person, 100 people or more tickets 9 yuan/person.
(1) If tickets are purchased by compartments, * * * should pay 1240 yuan. How many students are there in each class?
(2) Please calculate how much money can be saved if two classes buy tickets together?
(3) If the number of students in the two classes is equal, do you think it is cost-effective to buy tickets in different classes or in groups?
5. A middle school organizes a spring outing for junior one students. Originally planned to rent a batch of 45-seat cars, 15 people have no seats: if you rent the same number of 60-seat cars, you will get one more car, and the rest of the buses are just full. It is known that 45-seat buses rent each 220 yuan and 60-seat buses rent each 300 yuan.
(1) What is the number of students in Grade One? How many cars were originally planned to rent for 45 seats?
(2) Rent the same car, so that every student can have a seat. How to rent it is more economical?
There are three rooms and two rooms in the hotel. Three rooms a day in 25 yuan and two rooms a day in 35 yuan. A 50-member tour group checked into the hotel and rented several rooms, each of which was just full. One day, * * * spent 1, 5 10 yuan. How many rooms did you rent for each of these two rooms?
7. A newly-built four-story teaching building in a middle school has eight classrooms on each floor, and there are four doors in and out of the building, two of which are the same size as the main entrance and two are the same size as the side doors. During the security check, four doors were tested: when the main entrance and two side doors were opened at the same time, 560 students could pass in 2 minutes, and when the main entrance and side doors were opened at the same time, 800 students could pass in 4 minutes.
(1) How many students can pass through a main entrance and a side door every minute on average?
(2) During the inspection, it was found that the efficiency of going out would be reduced by 20% due to the crowded students in an emergency. According to the safety inspection regulations, in case of emergency, students in the whole building should be evacuated safely through these four doors within 5 minutes. Assuming that each classroom in this teaching building has a maximum of 45 students, do the four doors pass the safety regulations? Please provide a justification for the answer.
4. To build a 420-kilometer expressway, Team A has to work for 2 days before Team B joins, and the two teams work together for 2 days to complete the task. If Team B works for 2 days first, Team A joins in and the two teams work together for 3 days to complete the task. How many kilometers can each of Team A and Team B build roads every day?
8. At present, there are 190 sheets of iron sheets to make boxes, each sheet of iron has 8 boxes or 22 box bottoms, and one box and two box bottoms make a complete box. How many sheets of iron are used to make the box and how many sheets of iron are used to make the bottom of the box, just enough to make a batch of complete boxes?
9. It takes three hours for a ship to travel 36 kilometers downstream and 24 kilometers upstream. Find the speed of the ship in still water and the speed of the current.
10. It is known that a railway bridge is 1000 meters long and a train passes through it. It takes 1 minute for the train to get on the bridge, and the whole train will get on the bridge completely for 40 seconds. Find the speed and length of the train.
1 1. In order to protect the ecological environment, a mountainous county in our province responded to the national call of "returning farmland to forests" and changed part of its cultivated land into forest land. After the change, the forestland area and cultivated land area * * * are 180 square kilometers, and the cultivated land area is 25% of the forestland area. How many square kilometers is the forestland area and cultivated land area after the change?
12. Wang contracted 25 mu of land to plant eggplant and tomato in greenhouse this spring, which cost 44,000 yuan, of which 1700 yuan was used to plant eggplant per mu, with a net profit of 2,600 yuan; The cost of planting tomatoes per mu is 1800 yuan, and the net profit is 2600 yuan. How much did Uncle Wang make?
13. A vegetable company bought a vegetable 140 tons, and prepared to process it and sell it on the market. The processing capacity of this company is 6 tons per day or 0/6 tons per day/kloc. It is planned to complete the processing task in 15 days. How many days does the company have to arrange for rough machining and fine machining to complete the task on schedule? If the profit per ton of vegetables is 1000 yuan after rough processing and 2000 yuan after fine processing, how much can the company earn by selling these processed vegetables?
14. In a football trial, 12 teams participated in the selection, and each team had to play against the other team once. The scoring rules are: win a game with 3 points, draw a game 1 point, and lose a game with 0 points. At the end of the game, a team won twice as much as it lost and scored 20 points. How many games did the team win and how many games did it lose?
15. A self-employed person applied to the bank for two kinds of loans, A and B, totaling 1.36 million yuan, with annual interest of168,400 yuan. The annual interest rate of loan A is 12%, and that of loan B is 13%. Ask about the amount of these two kinds of loans.
16, Li Ming saved 2,000 yuan in two forms, each form 1000 yuan. Take it out after one year, and after deducting interest income tax, the interest is 43.92. It is known that the sum of the annual interest rates of the two kinds of savings is 3.24%. What is the annual interest rate of these two kinds of savings? (Note: Interest income tax payable by citizens = interest amount ×20%).
17. It is known that the sum of the original unit prices of commodities A and B is 100 yuan. Due to market changes, the price of commodity A decreased by 10% and the price of commodity B increased by 5%. After the price adjustment, the sum of the unit prices of the two commodities A and B is 2% higher than the sum of the original unit prices. What is the original unit price of A and B?
18, during the "May Day" period, a shopping mall engaged in preferential sales promotion, and customers drew lots to decide the discount. A customer buys two kinds of goods, A and B, and gets 30% off (30% off the selling price) and 10% off (10% off the selling price) respectively, and * * * pays 386 yuan. The sum of the original prices of these two commodities is 500 yuan. Ask about these two goods.
19, a market bought 50 pieces of A and 50 pieces of B * *, with the profit rate of 20% for each piece of A in 35 yuan and 0/5% for each piece of B in 20 yuan, and the profit of * * * was 278 yuan. How many pieces did A and B buy respectively?
20. A shopping mall sells an electrical appliance at a fixed price, and each one can make a profit in 48 yuan. Selling 6 electrical appliances at a 10% discount on the basis of a fixed price is equal to the profit gained by selling 9 electrical appliances in 30 yuan by lowering the fixed price. What's the purchase price and pricing for each unit of this appliance?
2 1, the cost of two clothes A and B * * In 500 yuan, the shopkeeper decided to price clothes A at 50% profit and clothes B at 40% profit. In actual sales, at the request of customers, both kinds of clothing are sold at a 10% discount, so the store * * * makes a profit 157 yuan. What is the cost of two pieces of clothes, A and B?
Last year, the profit (gross output value-total expenditure) of a factory was 2 million yuan. This year's total output value increased by 20% compared with last year, and the total expenditure decreased by 10% compared with last year. The profit this year is 7.8 million yuan. What was the total output value and expenditure last year?
Xiaohong's family had a balance of 5,000 yuan last year, and it is estimated that there will be a balance of 9,500 yuan this year. Moreover, this year's income is 65,438+05% higher than last year, and the expenditure is 65,438+00% lower than last year. What was the income and expenditure last year?
23. A school enrolled students in the autumn of 2004. The total number of freshmen and seniors is 500, and it is planned to increase the number of freshmen by 20% in the autumn of 2005. The number of students enrolled in the first year of senior high school has increased by 65,438+05%. Therefore, the total number of students enrolled in the first year and senior high school in autumn 2005 will increase by 65,438+08% compared with that in 2004. We hope to adopt the planned enrollment for the first year and the first year of senior high school in the autumn of 2005. . . thank you