2. (archaism) The reward for a person who works for one year is to give him a dress and 10 silver coins, but after seven months, he decides not to continue working. I gave him a dress and two silver coins when I checked out. How much silver is this dress worth?
3. It is known that five A-type machines fill 8 boxes of products a day, and seven B-type machines fill 1 1 box of products a day, leaving 1. Each type A machine produces 1 product more than type B machine every day. How many products are there in each box?
4. The original speed of an atmospheric car was 30 km/h, and now it starts to accelerate at a constant speed, increasing the speed by 20 km/h; The original speed of a car was 90 km/h, but now it starts to accelerate at a constant speed and decelerate10 km/h. How long is the speed of the two cars the same? What is the speed?
5. The total workload completed by four workers in group A in March is more than 20 pieces, which is four times the per capita quota of this month, and the total workload completed by five workers in group B is six times the per capita quota of this month, which is less than 20 pieces.
(1) If the actual per capita workload of the two groups of workers is equal this month, what is the per capita quota this month?
(2) If the per capita work actually completed by the workers in Group A is 2 more than that in Group B, what is the per capita quota this month?
(3) If the per capita work actually completed by workers in Group A is 2 yuan less than that in Group B, what is the per capita quota this month?
Answer:
1. Set the time to x 3 hours; 12.5km 5(x-0.5)=4x+0.5 2。 Make this dress worth x 9.2.
(x+ 10)/ 12 * 7 = x+2 ^ 3。 Let the number of products per box be x.
(8x+4)/5 =( 1 1x+ 1)/7 4。 Suppose the speed of the two cars is equal after x hours.
30+20x=90- 10x, and the speed at this time is 30+2*20=70 5.
Let the per capita quota be x 1)
(4x+20)/4 =(6x-20)/5 ^ 2)
(4x+20)/4-(6x-20)/5 = 2 ^ 3)
6x-20)/5-(4x+20)/4=2
A ship travels between Pier A and Pier B, sailing downstream for 3 hours and upstream for 3.5 hours. If the speed of the ship in still water is 26 kilometers per hour, (1) find the current speed; (2) Find the distance between two docks.
There are 70 ostriches and goats in the pasture. Given that the sum of the legs of an ostrich and a goat is 196, how many ostriches and goats are there respectively?
4. A transport team transports a batch of goods, each car is loaded with 8 tons, and the last car is only loaded with 6 tons. If each car is loaded with 7.5 tons, there are 3 tons that can't be loaded. How many cars are there in the convoy? How many tons are there in this shipment?
5. For a two-digit number, the number in the tenth place is twice that in the tenth place. If the number exchanged between the number in the second place and the number in the tenth place is 36 less than the original number, find the original two digits.
6. Eight rounds of middle school football league in a certain district (that is, each team needs to play eight games), winning one game will get 3 points, and drawing one game will get 1 point.
Negative games get 0 points. In this football league, Xiao Ping 'an drew twice the lost game and got 17.
How many games did the team win?
Give some books to the students. If each person sends out four books, there are still 25 left. If each person distributes five books, there are five books left. How many students are there?
1. A plane flies between airport A and airport B for 5 hours with the wind and 8 hours with the wind. If the speed of the plane in still wind is 80km per hour, (1) find the prevailing speed; (2) Find the distance between the two airports.
2. In the pasture, there are 70 wild boars and rabbits, and the sum of their legs is 196. How many wild boars and rabbits are there respectively?
For a three-digit number, the number of the hundredth digit is twice that of the tenth digit, and the number of the last digit is 3 larger than that of the tenth digit. Find the original three digits.
A group plans to make a batch of "Chinese knots". If everyone does five, it will be nine more than planned. If everyone does four, it will be less than planned 15. How many team members are there? How many Chinese knots do they plan to make?
There are x members in the team.
5x = 4x+ 15+9 5x-4x = 15+9 2。
A middle school organizes a spring outing for junior one students. It was originally planned to rent a number of 45-seat buses, but 15 people had no seats. If you rent the same number of 60-seat buses and have one more, the rest will be just full. We want to ask
(1) What is the number of students in Grade One? How many 45-seat buses were originally planned to be rented?
Solution: Rent 45-seat bus X and 60-seat bus (x- 1).
45x+ 15=60(x- 1)
Solution: x=5 45x+ 15=240 (person)
The number of students in Grade One is 240.
It is planned to rent five 45-seat buses.
3. Input a batch of accounting statements into the computer. It takes 20 hours for Party A to do it alone, and it takes 12h for Party B to do it alone. Now Party A works alone for 4 hours, and the rest is done by both parties. How long will Party A and Party B cooperate?
Solutions; Set xh1/5+1/20x+1/2x =18/60x = 4/5x = 6.
The cooperation time of A and B is 6h.
4. The sum of the numbers A, B and C is 53, so the ratio of A to B is 4:3, C is 2 less than B, B is () and C is ().
Let a be 4x. Then b is 3x. C is 3x-2.
4x+3x+3x-2 = 53 10x = 53+2 10x = 55 x = 5.5 3x = 16.5 3x-2 = 16.5-2 = 16.5-2 = 14.5
B is 16.5 and c is 14.5 5. The length of the thick candle is the same as that of the thin candle. Thick candles can burn for 5 hours, and thin candles can burn for 4 hours. After the power failure, two candles were lit and put out at the same time. It turns out that the length of a thick candle is four times that of a thin candle. How long is the power outage required?
Set the power outage for x hours. The thick candle burns 1/5 per hour and the thin candle burns1/41-1/5x = 4 (1-1/4).
1- 1/5x=4-x
- 1/5+x = 4- 1 4/5x = 3x = 1 5/4 6。 A three-digit number, the number in the hundredth digit is greater than the number in the tenth digit 1, and the number in the single digit is smaller than the number in the tenth digit by 3 times 2. If the order of the three numbers is reversed,
Let ten digits be x.
Then100× (x+1)+10x+3x-2+100 * (x+1)+/kloc-0+.
simplify
424x= 1272
So: x=3
Then this three-digit number is 437. 7. Three classes in Senior One donated books to Hope Primary School, and one class collected books 152 volumes. The number of books donated by class two is the average of three classes, and the number of books donated by class three is 40% of the total number of books donated by grade three. How many books did Class Three donate?
Solution: Set up 2 classes to donate X copies.
3x= 152+x+3xx40%
3x =152+x+6/5x3x-x-6/5x =1524/5x =152x =190 ... (2) class.
190x3=570 (Ben)
8. The distance between A and B is 365,438+0 km. An hour later, A rode a bicycle from A to B, and B rode a motorcycle from A to B. It was known that A was driving at a speed of 12km, and B was driving at a speed of 28 km. How many hours did B catch up with A after departure?
Let b catch up with equations a and b x hours after departure.
12 (x+ 1) = 28 x = 0.75 hours, or 45 minutes.
1\ Set the water flow speed x kilometers. 3[x+26]=3.5[26-x]3/ x ostriches. 2x+4[70-x]= 196