2. For a job, A completes 1/4 of the task in 5 hours, and B completes the remaining half of the task in 6 hours. Finally, with the cooperation of A and B, how long will it take to complete the remaining work?
Solution: A’s work efficiency = (1/4)/5=1/20
B’s completion (1-1/4)×1/2=3/8< /p>
B’s work efficiency = (3/8)/6=1/16
The sum of A and B’s work efficiency = 1/21/16=9/80
At this time, there are still 1-1/4-3/8=3/8 to complete
It still needs (3/8)/(9/80)=10/3 hours
3. The engineering team completed a project in 30 days. It started with 18 people and completed 3/1 of the project in 12 days. How many more people would be needed if it was completed on time?
Solution: Everyone’s work efficiency = (1/3)/(12×18) = 1/648
To complete on time, 30-12=18 days are needed< /p>
The number of personnel needed to complete the project on time (1-1/3)/(1/648×18) = 24 people
An additional 24-18=6 people are needed
4. Two people, A and B, process a batch of parts. A processes it for 1.5 hours first, and then B processes it. When the task is completed, A completes five-eighths of the batch of parts. It is known that the efficiency ratio of A and B is 3:2. Question: How many hours does it take for A to process a batch of parts alone?
Answer: The work efficiency ratio between A and B = 3:2
That is, the ratio of workload = 3:2
B completed 2/3 of A
B completed (1-5/8) = 3/8
Then when A and B work together, the work completed Quantity = (3/8)/(2/3)=9/16
So A alone needs 1.5/(5/8-9/16)=1.5/(1/16)=24 Hours
5. A project requires 13 days for A, B, and C to work together. If C takes 2 days off, B will have to work on 4 more days, or A and B will work on 1 more day.
Question: How many days will it take for A to do this project alone?
Explanation: C will do it for 2 days and B will do it for 4 days
That is to say, if you do it for 1 day and B will do it for 2 days
Then C will do it for 13 days The amount of work B needs to complete is 2×13=26 days
B’s 4 days is equivalent to 1 day of cooperation between A and B
That is, B’s 3 days is equal to A’s 1 day
Suppose A alone takes a day to complete
Then B alone takes 3a days
C alone takes 3a/2 days
According to the meaning of the question< /p>
1/a+1/3a+1/（3a/2）=1/13
1/a(1+1/3+2/3)=1/13
1/a×2=1/13
a=26
It takes 26 days for A to do it alone
Arithmetic method: C Doing 13 days is equivalent to B doing 26 days
B doing 13+26=39 days is equivalent to A doing 39/3=13 days
So A alone needs 13+13= 26 days
6. Solution: B does 60 sets, A does 60/(4/5)=75 sets
A does 165-75=90 sets in three days
A’s work efficiency = 90/3=30 sets
B processes 30×4/5=24 sets per day
7. A and B produce a batch The ratio of the work efficiency of parts A and B is 2:1. After the two of them produced the parts together for 3 days, B produced the remaining parts alone for 2 days and completed the production tasks. At this time, A produced 14 more parts than B. Parts, how many parts are there in this batch?
Solution: Treat B’s work efficiency as unit 1
Then A’s work efficiency is 2
B completes 1×2=2 in 2 days
p>
B-*** produces 1×(3+2)=5
A-*** produces 2×3=6
So B’s work efficiency= 14/（6-5）=14 pieces/day
A’s work efficiency=14×2=28 pieces/day
A*** has parts 28×3+14 ×5=154
Or suppose the work efficiency of A and B is 2a/day and a/day respectively
2a×3-(3+2)a=14
p>6a-5a=14
a=14
One *** has 28×3+14×5=154 parts
8. For a project, the time it takes Team B to complete the project alone is twice as long as that of Team A. It takes 20 days for Team A and Team B to complete the project together. The daily working cost of Team A is 1,000 yuan and that of Team B is 550 yuan. From the above information, it can be saved From a financial perspective, which one should the company choose? How much is the cost of the engineering team?
Solution: The sum of the work efficiency of A and B = 1/20
The working time ratio of A and B = 1:2
Then the work efficiency ratio of A and B = 2: 1
So A’s work efficiency=1/20×2/3=1/30
B’s work efficiency=1/20×1/3=1/60
p>It takes 1/(1/30)=30 days for A to complete it alone
It takes 1/(1/60)=60 days for B to complete it alone
It takes 1/(1/60)=60 days for A to complete it alone 1000×30=30000 yuan is needed
B alone needs 550×60=33000 yuan
A and B cooperate to finish (100550)×20=31000 yuan
< p>ObviouslyA alone needs the least amount of money to complete the project
If you choose A, you need to pay 30,000 yuan in engineering fees.
9. For a batch of parts, A and B can work together for 5.5 days to over-complete this batch of parts by 0.1%. Now A will work on it for 2 days, then A and B will work on it for two days, and finally B will do it. Then it takes 4 days to complete the task. How many days can it take for B to complete this batch of parts if he does it alone?
Solution: Treat all parts as unit 1
Then the sum of the work efficiency of A and B = (1+0.1)/5.5=1/5
The entire process A’s work is 2+2=4 days
B’s work is 2+4=6 days
It is equivalent to A and B’s cooperation for 4 days, completing 1/5×4=4/5
p>Then B alone does 6-4=2 days to complete 1-4/5=1/5
So B alone takes 2/(1/5)=10 days
10. There is a project that needs to be completed within a specified date. If Engineering Team A does it alone, it will be completed on time. If Engineering Team B does it alone, it will take more than 5 days to complete.
Now, Team A and Team B will cooperate for 3 days, and Team B will do the rest of the project alone, just in time. What is the specified date?
Solution: A's work for 3 days is equivalent to B's 5 days
The ratio of A's and B's work efficiency = 5:3
Then the ratio of A and B's completion time = 3: 5
So the time it takes A to complete is 3/5 of B
So it takes 5/(1-3/5)=5/(2/5) for B to complete alone ) = 12.5 days
Stipulated time = 12.5-5=7.5 days
11. For a project, Team A alone will complete it in 20 days, and Team B alone will complete it in 30 days. Now Team B will do the work for 5 days first, and then Team A and Team B will work together to complete the rest. How many more days will it take to complete?
Solution: B completes 5×1/30=1/6 in 5 days
The work efficiency of A and B’s cooperation =1/21/30=1/6
Then it will take (1-1/6)/(1/6)=(5/6)/(1/6)=5 days
12. It takes a single person to complete a project 10 days, Team B alone takes 15 days, Team C takes 20 days, and the three teams work together. Team A left due to something, and it took *** six days. How many days did Team A actually work?
< p>Solution: The sum of the work efficiency of B and C = 1/15+1/20=7/60Both B and C work for 6 days, completing 7/60×6=7/10
A completed all 1-7/10=3/10
Then A actually did (3/10)/(1/10) = 3 days
12 . To process a part, A needs 4 hours, B needs 2.5 hours, and C needs 5 hours. There are now 187 parts that need to be processed. If it takes three people the same amount of time to complete, how many parts should each process?
Solution: It takes 1/4 hour, 2/5 hour, and 1/5 hour for A, B, and C to process one part respectively
Then the completion time = 187/(1/4+ 2/5+1/5)=187/0.85=220 hours
Then A processes 1/4×220=55 pieces
B processes 2/5×220=88 pieces
C processes 1/5 × 220 = 44 pieces
13. For a project, A will first do 5/1, and then the two teams will cooperate, and it will take another 16 days. Finish. It is known that the work efficiency ratio of Team A and Team B is 2:3. How many days does it take for Team A and Team B to complete the project independently?
Solution: The sum of the work efficiency of A and B = (1-1/5)/16= (4/5)/16=1/20
The work efficiency of A = 1/ 20×2/(2+3)=1/50
B’s work efficiency=1/20-1/50=3/100
Then A alone needs 1/ (1/50) = 50 days
B alone needs 1/(3/100) = 100/3 days = 33 and 1/33 days
14. A project , it takes 25 days for Team A to do it alone with 20 people. If it takes 20 days to complete, how many more people need to be added?
Solution: Treat each person’s workload as unit 1
An additional 1×25×20/(1×20)-20=25-20=5 people needs to be added< /p>
15. A works on a project for 3 days first, and then B joins in. 1/3 of the project is completed after 4 days, and 3/4 of the project is completed after 10 days. A is transferred away due to business, leaving B to do all the rest.
How many days did one *** last?
Solution: According to the meaning of the question
A and B started to cooperate to complete 1/3 in 4 days, and then completed 3/4 in 10 days
So the cooperation between A and B is 10- 4=6 days to complete 3/4-1/3=5/12
So the sum of A and B’s work efficiency = (5/12)/6=5/72
Then A B’s work efficiency=(1/3-5/72×4)/3=(1/3-5/18)/3=1/54
B’s work efficiency=5/72-1 /54=11/216
Then B completes the rest (1-3/4)/(11/216)=54/11 days
Do it in one day 3+154/11=17 and 10/11 days
16. After A and B made the same parts for 16 days each, A still needs 64 more and B still needs 384 more to complete the work of B than A. The efficiency is 40% less, what is the efficiency of A?
Solution: Suppose A’s work efficiency is a/day, then B is (1-40%) a=0.6a/day
According to the meaning of the question
16a+64=0.6a×16+384
16×0.4a=320
0.4a=20
a=50 pieces/day
A’s work efficiency is 50 per day
Arithmetic method:
B does 40% less than A every day
Then 16 Do less 384-64=320 pieces a day
Do less 320/16=20 pieces a day
Then A’s work efficiency = 20/40% = 50 pieces/day
17. Master Zhang has one day off for every 6 working days, and Master Wang has 2 days off for every 5 working days. There is an existing project that takes 97 days for Master Zhang alone and 75 days for Master Li. If the two work together, how many days will it take per day?
Solution:
97 divided by 7 equals 13 with a remainder of 6, 13*6=78, 78+6=84 working days
75 divided by 7 It is equal to 10 more than 5, 10*5=50, 55=55 working days
Master Zhang completes 1/84 every working day and 6/84=1/14 every week
Master Wang completes 1/55 every working day and 5/55=1/11 every week
Working with two people, they complete 139/4620 every working day and 25/154 every week
Complete 150/154 in 6 weeks, leaving 4/154
(4/154)/(139/4620)=120/139
So, 6 weeks and zero One day, 43 days
18. A, B, and C completed a project together and completed 1/5 of it in 3 days. Then A rested for 3 days and B rested for 2 days. C has no rest. If A's workload in a day is 3 times that of C, and B's workload in a day is 4 times that of C, how many days will it take to complete the work from the beginning?
Solution: The sum of the work efficiency of A, B and C = (1/5)/3=1/15
The work efficiency of C = (1/15)/(3+4+ 1)=1/120
A’s work efficiency=1/120×3=1/40
B’s work efficiency=1/120×4=1/30
p>Here, C’s work efficiency is regarded as 1 times
A rests for 3 days and B rests for 2 days. This period is completed in one go
1/3 1/120×3=7/120
Then the rest needs (1-1/5-7/120)/(1/15)=89/8 days
It takes 3+3+89/8=17 and 1/8 days
19. A works on a project in 30 days and B works on it in 20 days. A does it first After a few days, B takes over. A and B will do it for 22 days. How many days will A and B do it?
Solution: B’s work efficiency = 1/20
B completed 1/20×22=11/10 in 22 days
An extra 11/10- 1=1/10
The difference between B’s work efficiency and A’s work efficiency=1/20-1/30=1/60
So A did (1/10 )/(1/60)=6 days
B did 22-6=12 days
Consider it based on the problem of chickens and rabbits in the same cage
20. 1 It takes 12 days for A and B to complete the project together. If A does it first for 3 days and then B for 8 days, *** will complete 5/12 of the work. If A does the work alone, it will take () days to complete. ?
Explanation: A’s 3 days and B’s 8 days are regarded as 3 days of cooperation between A and B, and 8-3=5 days for B alone
This is the key to solving the problem
< p>B worked alone for 5 days to complete 5/12-1/12×3=1/6B’s work efficiency = (1/6)/5=1/30
A’s work efficiency=1/12-1/30=1/20
It takes A alone to complete 1/(1/20)=20 days
21. A piece of work , A and B need 4 hours to complete, and B and C need 6 hours to complete.
Now A and C cooperate for 2 hours, and B completes the remaining 7 hours. How long does it take to complete A, B, and C alone?
Solution: A and C can work together for 2 hours and B can work alone for 7 hours
This is equivalent to A and B working together for 2 hours, B and C working together for 2 hours and B working alone 7-2-2= 3 hours
Then B alone completes 1-1/4×2-1/6×2=1-1/2-1/3=1/6
B Work efficiency=(1/6)/3=1/18
A’s work efficiency=1/4-1/18=7/36
C’s work efficiency=1 /6-1/18=1/9
It takes 1/(7/36)=36/7 days for A to complete it alone=5 and 1/7 days
It takes 1/(7/36) for A to complete it alone It takes 1/(1/18)=18 days
It takes 1/(1/9)=9 days for Team C to complete alone
22. A project requires Team A to complete alone 12 days. It takes 18 days for Team B to complete it alone. Now it is required to be completed within 10 days. How many days should Team A and Team B cooperate at least?
Solution: Consider this question
At least one team works for 10 days, and the other team serves as a supplement
If A works for 10 days, complete 1/12×10 =5/6
Then B needs help (1-5/6)/(1/18)=(1/6)/(1/18)=3 days
If B works for 10 days and completes 1/18×10=5/9
A needs help (1-5/9)/(1/12)=(4/9)/(1/12 ) = 48/9 days = 5 and 1/3 days
From this, it is obvious that A and B can cooperate for at least 3 days.
23. A certain city produces 700 tons of garbage per day. It takes 7 hours for A and B to cooperate. After 2.5 hours of cooperation between the two factories, it takes 10 hours for Factory B to process it alone. It is known that A costs 550 yuan per hour and B 495 yuan per hour. , requiring the fee not to exceed 7,370 yuan, then how many hours should A handle it at least?
Solution: The sum of A and B's work efficiency = 1/7
A and B cooperate to complete 1/7×5/2=5/14 in 2.5 hours
B's Work efficiency=(1-5/14)/10=9/140
A’s work efficiency=1/7-9/140=11/140
Suppose A handles at least a hour
Then A completes a×11/140=11a/140
There are still 1-11a/140 left for B to complete
Then B’s work Time = (1-11a/140)/(9/140) = (140-11a)/9 hours
According to the meaning of the question
550a+495×(140-11a) /9≤7370
4950a+69300-5445a≤66330
495a≥2970
a≥6
A must work at least 6 Hours
24. The expressway under construction needs to be tendered. There are two engineering teams A and B. If A and B cooperate, it can be completed in 24 days; it will cost 1.2 million yuan; if A After 20 days of work alone, B will do the rest of the work. It will take 40 days to complete, which will cost 1.1 million yuan. Question:
(1) How many days will each team A and B take to complete this project alone?
(2) How much does it cost for Team A and Team B to complete this project separately?
Solution: The sum of the work efficiency of A and B = 1/24
Complete 1/24×20=5/6 in 20 days
The work efficiency of B = ( 1-5/6)/(40-20)=1/120
B alone needs 1/(1/20)=120 days
A’s work efficiency=1 /24-1/120=1/30
It takes 1/(1/30)=30 days for A to complete it alone
(2) The cost for A and B to work for one day is 120/24= 50,000 yuan
Cooperating for 20 days requires 5×20=1 million yuan
B working alone for 20 days requires 110-100=100,000 yuan
B’s work It takes 10/20=0.5 million yuan a day
Then A’s work needs 5-0.5=45,000 yuan a day
A alone needs 4.5×30=1.35 million yuan
B alone needs 0.5×120=600,000 yuan
25. To produce a batch of parts, A can make 18 parts per hour, but B alone needs 12 hours to complete.
Now A and B are working together to complete the task. The ratio of the quantities produced by A and B is 3:5. How many parts will A and *** produce?
Solution: B’s work efficiency = 1/12
When completing the task, B worked (5/8)/(1/12) = 15/2 hours
Then A and *** produce 18×15/2=135 pieces
26. A project can be completed by A alone in 10 days and by B in 20 days. Now A and B cooperate and A rests One day, B has 5 days of rest. How many days will it take to complete the project?
Answer: A rests for 1 day and B rests for 5 days, which is equivalent to that after A and B rest for 1 day, B rests for 4 days again
Then A completes 4/10=2/5 in 4 days
The sum of the work efficiency of A and B =1/11/20=3/20
Then the remaining needs are (1-2/5)/(3/20)= (3/5)/(3/20)=4 days
It takes 4+5=9 days to complete all the projects
27. A 1200M long alley is undergoing road repair. The plan is completed by A and B together. If A and B work together, it can be completed in 24 days. If A and B work together in 16 days, the remaining 20 days will be completed by B alone. How many meters will A and B build roads every day? If B uses 70 yuan per day and B uses 40 yuan per day, the project cost must not exceed 2,500 yuan. Question: How many days can Team A work at most?
Solution:
The sum of the work efficiency of A and B = 1/24
1/24×16=2/3 completed in 16 days
Then B’s work efficiency=(1-2/3)/20=1/60
A’s work efficiency=1/24-1/60=1/40
It takes 1/(1/40)=40 days for A to complete alone
1/(1/60)=60 days for B to complete alone
A repairs 1200/40=30 every day meters
B repairs 1200/60=20 meters every day
Suppose A can construct at least a day
Then B works (1200-30a)/20=60- 3a/2 days
70a+（60-3a/2）×40≤2500
70a+2400-60a≤2500
10a≤100
a≤10 days
A can work up to 10 days
Taiwan, the largest island in my country, covers an area of ??about 35,760 square kilometers, and Hainan Island, the second largest island, covers an area of ??about 32,200 square kilometers. km.
How much larger is the area of ??Taiwan Island than that of Hainan Island? (Keep one decimal before the percent sign)
(35760-32200)/32200. There are 80 bottles of Coke in the store. The number of Coke bottles is 1/5 less than that of Sprite. How many bottles of Sprite are there?
Answer; There are 80 bottles of Coke in the store. The number of bottles of Coke is 1/5 less than that of Sprite. How many bottles of Sprite are there?
Sprite is available
80/(1-1/5)=100 (bottle)
2. A train from Shanghai to Tianjin has already left. 808 kilometers, 1/3 of which is left. How many kilometers is the railway from Shanghai to Tianjin?
Answer: A train from Shanghai to Tianjin has traveled 808 kilometers, and there is still 1/3 left. How many kilometers is the railway from Shanghai to Tianjin?
The length of the railway from Shanghai to Tianjin
808/(1-1/3)=1212 (km)
3. There is a batch of potato chips in the mall. 2/5 of the total was sold in the morning and 6/8 of the total was sold in the afternoon. There are still 54 bags left unsold. How many bags of potato chips are there in this batch?
Answer: There is a batch of potato chips in the mall, 2/5 of the total sold in the morning and 4/8 of the total sold in the afternoon. There are 54 bags left unsold. How many bags of potato chips are there in this batch?
This batch of potato chips has
54/(1-2/5-4/8)=540 (bags)
4. Uncle Zhang’s family has There are 15 peach trees. The number of pear trees is 2/3 of the peach trees and 2/7 of the apple trees. How many apple trees are there?
Answer: Uncle Zhang’s family has 15 peach trees. The number of pear trees is 2/3 of the peach trees and 2/7 of the apple trees. How many apple trees are there?
There are pear trees
15*2/3=10 (trees)
There are apple trees
10/(2/7 )=35(tree)
5. There is a job that two people, A and B, can complete in 5 days. A’s workload in one day is 15% more than B’s in one day. A and B can do this job alone. How many days does it take?
Answer: Suppose B’s workload per day is unit 1, then A is 1+15%=115%
Then B’s workload per day is: (1 /5)/(1+115%)=4/45
A is: 4/45*115%=23/225
That is, A alone wants: 1/[23 /225]=225/23 days, B takes 45/4 days
1) The fruit shop transports 390 kilograms of apples, bananas, and pears in one day. The weight of apples is 1.5 times that of pears. , the weight of bananas is 3/4 of pears, how many kilograms of each of the three fruits should be transported?
(2) For a tank of water, 1/2 and 5 buckets are used, and 30% is left. How many buckets of water are there in this tank?
(3) A cube of wood with an edge length of 20 cm is planed into a cylinder with the largest base diameter. What is the volume of the wood removed?
(4) A steel pipe is 10 meters long. 7/10 of it is cut off for the first time, and the remaining 1/3 is cut off for the second time. How many meters are left?
(5) Two groups assemble radios. Group A assembles 50 sets every day and completes 10% of the total task on the first day. Then Group B starts assembling 40 sets every day to complete this batch. How many days did Team A work on the mission?
(6) After building a highway and completing 2/3 of the total length, it is 16.5 kilometers away from the midpoint. How many kilometers is the total length of this highway?
(7) A master and an apprentice work together to make a batch of parts. The apprentice makes 2/7 of the total, which is 21 fewer parts than the master. How many parts are there in this batch?
(8) Two teams build a road. Team A builds 1/5 of the total length every day, and Team B works alone for 7.5 days to complete the road. If two teams study together for 2 days, and Team B studies the rest alone, how many days will it take to complete?
(9) There is a batch of fertilizer in the warehouse. The first time I took out 2/5 of the total, and the second time I took out 1/3 of the total, 12 bags less. At this time, there were 24 bags left in the warehouse, twice. ***How ??many bags were taken out?
(10) The front wheel rotates 40 times more than the rear wheel in a distance of 720 meters. If the circumference of the rear wheel is 2 meters, find the circumference of the front wheel.
(11) The number A is 1.2 times the average of the three numbers A, B and C. If the sum of the numbers B and C is 99, what is the number A?
(12) There is a project planned to employ 800 workers and be completed within 100 days. Unexpectedly, the work stopped due to an accident 35 days after it started, and continued after 25 days. If the work is to be completed within the deadline, how many more workers should be added?
(13) The fruit shop bought several kilograms of apples for 2 yuan, 1.5 kilograms, and sold them for 4 yuan, 2.5 kilograms. If the store wants to make a profit of 100 yuan, how many kilograms of fruit must the fruit store sell?
(14) The walking speeds of A, B and C are 30 meters, 40 meters and 50 meters per minute respectively. A and B are both in place A, and C is in place B.
A, B and C are walking towards each other at the same time. C meets A 10 minutes after meeting B. How many meters are they apart from each other?
(15) It takes A 10 minutes to go from East Village to West Village, and B 15 minutes to go from West Village to East Village. They start walking towards each other at the same time. When they meet, they are 150 meters away from the midpoint. Find the two villages distance between.
(16) A car covers 2/5 of the distance on the first day and the remaining 1/2 on the second day. The distance covered on the third day is less than 1/3 less on the first day, and the remaining distance is 50 kilometers. How many kilometers is the whole journey?
(17) A passenger ship sails from Port A to Port B at a speed of 24 kilometers per hour. The cargo ship sails from Port B to Port A, taking 12 hours to complete the journey. Now they depart from each other at the same time. When they meet, the ratio of the distance traveled by the passenger ship and the cargo ship is 6:7, which is the distance between the two ports A and B.
(18) Stations A and B are 1134 kilometers apart. A passenger car and a truck leave from the two stations in opposite directions at the same time. They meet each other in 10 hours and 30 minutes. The speed of the truck is 5/7 of the speed of the passenger car. The speed of the passenger car per hour How many kilometers?
(19) 40% of the number of male employees and 20% of the number of female employees in an assembly workshop are equal. It is known that there are 130 female employees in this workshop. How many fewer male employees are there than the number of female employees?
(20) There are 25 kilograms of salt water with a salt content of 20%. After adding some water, the salt content is 8%. How much water was added?
(21) The three warehouses A, B and C store 307 tons of grain. After each has shipped 40 tons, the ratio of the weight of grain left in warehouse A and B is 3:5, and the weight of grain left in warehouse B and C is 3:5. The ratio is 3:4. How many tons of original grain does Bingku have?
(22) Workshops A and B have to process a batch of flour. The actual completion ratio of workshop A and workshop B is 8:5, which is 130% of the plan. Workshop B processes 13.5 tons less flour than workshop A. How many tons of flour were originally planned to be processed?
Application Question 2
(1) There are two baskets of fruits. The weight of basket A is 32 kilograms. After taking out 20% of the fruits from basket B, the weight ratio of the two baskets of fruits is 4: 3. How many kilograms did the two baskets of fruit weigh?
(2) It is planned to install 120 TV sets. If 8 sets are installed every day, the task can be completed one day ahead of schedule. If it is completed 4 days ahead of schedule, how many sets should be installed every day?
(3) Places A and B are 1152 kilometers apart. A passenger car and a freight train leave from both places at the same time. The freight train travels 72 kilometers per hour, which is 2/7 faster than the passenger car. How many hours will it take for the two vehicles to pass by? Encounter?
(4) The school buys a number of books and distributes them to each class. If each class is given 25 books, there will be 22 more books. If each class is given 30 books, it will be 68 fewer books. How many books are there? class? How many books did you buy?
(5) The fruit company stores a batch of apples. After selling 30% of the batch of apples, another 160 boxes are shipped. This is 1/10 more than the original apples stored. How many apples are there at this time? box?
(6) The greening team spent 900 yuan to renovate the street garden, saving 300 yuan compared with the original plan. What percent was saved?
(7) A road construction team built a road. The original plan was to build 200 meters per day, but actually built an extra 50 meters per day. As a result, the task was completed 3 days ahead of schedule. The entire length of the road How many meters?
(8) There is a rectangular steel ingot with a base circumference of 2 meters. The ratio of length to width is 4:1. The height is 25% less than the width. It can be cast into a cone with a height of 3 decimeters. What is the base area of ??the cone?
(9) A wire uses 37.5% of its total length for the first time and 27 meters for the second time. At this time, the used wire is no longer used. The wire length ratio is 3:2. How many meters long was this wire?
(10) The number of boys in a certain class is 6 more than 5/7 of the class, and the number of girls is 4 less than 1/4 of the class. How many people are there in the class***?
(11) Warehouse A originally had 50 tons less grain than warehouse B. After transporting 30 tons of grain from warehouse A to warehouse B, the grain stored in warehouse A is 1/4 less than that in warehouse B. How many tons of grain are stored in warehouse B now?
(12) Put diesel into a cylindrical oil drum. It is known that the bottom diameter of the oil drum is 6 decimeters and the height is 10 decimeters. When full, the barrel weighs 280 kilograms. It is known that one liter of diesel weighs 0.85 kilograms. How many kilograms does the barrel weigh?
(13) A store purchased a batch of pens for 10.9 yuan each and sold them for 14 yuan each. When 4/5 of this batch of pens were sold, not only the entire cost was recovered, but also a profit of 150 yuan was made. How many pens are there in this batch?
(14) To process a batch of parts, the master can process 54 parts per day. If the apprentice processes it 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 the master and the apprentice is 9:8. How many parts are there in this batch?
(15) Originally 1/5 of the students in Class 6 (1) participated in the labor force, and later two more students took the initiative to participate. In this way, the actual number of participants was 1/3 of the rest. How many people are there?
(16) There are ***100 big and small balls. 1/3 of the big ball is 16 more than 1/10 of the small ball. How many big and small balls are there?
(17) Mom bought 3 kilograms of bananas and 2 kilograms of pears and paid 13 yuan. It is known that the unit price of pears is 2/3 of bananas. How much is the price of pears per kilogram?
(18) The master and the apprentice made a batch of parts at the same time. The original plan was that the ratio of the number of parts made by the master and the apprentice was 9:7. When the task was completed, the master made 5 of the total. /8, 30 more parts were made than originally planned. How many parts did the master originally plan to make?
(19) There are 80 candies in a box of candy and they are divided between two brothers. The elder brother eats 1/3 of his, the younger brother eats 10, and then 5 more, leaving the rest The two brothers are exactly equal. How many grains did each brother get?
(20) There are two ropes A and B. 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. The two ropes How many meters long are each?
Application Question 3
(1) The circumference of the base of a cylinder is 2/3 of the circumference of the base of another cone, and the height of this cone is 2/5 of the height of the cylinder , what fraction of the volume of the cone is the volume of the cylinder?
(2) There is a cylindrical/glass cup. The inner diameter is measured to be 8 cm. The depth of the potion inside is 6 cm, which is exactly 4/5 of the content of the cup. How much potion should be added? , can you fill the cup?
(3) There are two baskets of apples. Basket A has 31 fewer apples than basket B. If 7 apples are taken from basket A and put into basket B, then the ratio of the number of apples in basket A and basket B is 4 :7. How many apples are there in basket B now?
(4) A, B and C produce a batch of parts together. The parts produced by A are 1/2 of the total number of parts produced by B and C. The ratio of the total number of parts produced by A and C to the number of parts produced by B It is 7:2. C produces 200 parts. How many parts does A produce?
(5) It takes a master worker 5 minutes to make a part, and his apprentice takes 9 minutes to make a part. After the master and apprentice worked together for a period of time, they made 84 parts in one day. How many parts did each of them make?
(6) A right-angled trapezoid, the ratio of the upper base to the lower base is 5:2. If the upper base is extended by 2 meters and the lower base is extended by 8 meters, it becomes a square. Find the area of ??the original trapezoid?
(7) The ratio of the number of people in teams A and B is 7:8. If 30 people are sent from team A to team B, then the ratio of the number of people in teams A and B is 2:3. How many people do teams A and B actually have?
(8) A truck transports goods from the county town to the mountains. It takes 20 hours to go back and forth to ***. The time taken to go is 1.5 times that of the return. It is known that the hour to go is longer than the return time. If the speed is 12 kilometers, find the round trip distance.
(9) If a project is completed by two construction teams A and B, it will take 12 days to complete. It is known that the work efficiency ratio of the two construction teams A and B is 2:3. This project will be completed by Team B. How many days will it take to complete it alone?
(10) A pile of coal, 1/4 of it is transported for the first time, and 120 tons are transported for the second time. At this time, the ratio of the tonnage of the remaining coal to the tonnage transported It's 2/3. How many tons did this pile of coal originally weigh?
(11) Two cars A and B are traveling towards each other from two places at the same time. They meet each other in 6 hours. When they meet, car A has traveled 72 kilometers further than car B. The speed ratio of car A and B is known. is 3:2, find the distance between the two places.
(12) Distribute a batch of chemical fertilizers to three villages, A, B, and C. Village A will get 1/4 of the total, and the rest will be divided between villages B and C at a ratio of 2:3. It is known that village C will get the fertilizer. 12 tons. How many tons is this batch of fertilizer?
(13) A batch of goods was transported to two teams A and B according to the ratio of 5:7. Team B transported 840 tons, completing 4/5 of the task of the team. Later, it was transferred due to other tasks. After being transported by Team A, how many tons did Team A actually transport?
(14) There are 210 people in teams A and B. If 1/10 of the people from team B are transferred to team A, then the ratio of the number of people in teams A and B is now 4:3. Team A’s original number How many people?
(15) Three workers A, B and C made a batch of parts at the same time. A processed 2/5 of the total number, 125 more than B. The ratio of the number of parts processed by B and C is 3: 2.
How many parts are there in this batch?
(16) The ratio of the speed of the truck to the speed of the passenger car is 3:4. The two trucks are traveling opposite each other from station A and station B at the same time, and meet 6 kilometers away from the midpoint. When the passenger bus arrives at station A, the truck leaves How far is station B?
(17) Shanhu Township transported a batch of pesticides, and 4/7 of the total was used on the first day, which was 12 kilograms more than twice the amount used on the second day. The ratio of the remaining pesticides is 27:8. How many kilograms does this batch of pesticides weigh?