8: 12: 15
140÷(8+ 12+ 15)=4 4×8=32 4× 12=48 4× 15=60
2. For a cuboid, the aspect ratio is 2∶ 1 and the aspect ratio is 3∶2. Given that the side length of a cuboid is 88 cm, what is its volume?
6:3:2
88÷(6+3+2)=8 8×6×(8×3)×(8×2)= 18432
3. Among the three numbers A, B and C, the ratio of A to B is 7∶9, and the ratio of B to C is 3∶4. It is known that the sum of A and B minus C is equal to 20. What are these three numbers?
7:9: 12
20÷(7+9- 12)=5 5×7=35 5×9=45 5× 12=60
4. Party A needs 15 for producing two parts, and Party B needs 1 2 for producing1part. Now we will produce 9 1 parts. How to assign it to Party A and Party B to complete the production tasks at the same time?
15/2: 12=5:8
9 1÷(5+8)=7 7×8=56 7×5=35
5. The walking speed ratio of Party A and Party B is13:11. If Party A and Party B leave from A and B at the same time, face to face, and meet in 0.5 hours. If they go in the same direction, how many hours will it take Party A to catch up with Party B?
( 13+ 1 1)×0.5÷( 13- 1 1)=6
6. The ratio of the number of suits produced by the two garment factories in one month is 6: 5, and the ratio of the prices of suits produced by the two factories is 1 1: 10. It is understood that the total output value of these two factories this month is 69.6 million yuan. What is the output value of these two factories?
(6× 1 1):(5× 10)=33:25
6960÷(33+25)= 120 120×33=3960 120×25=3000
7. The master and the apprentice make 100 parts at the same time. The master makes one every 6 minutes and the apprentice makes one every 9 minutes. How many parts did the master and apprentice make when they finished the task?
3:2 100÷(3+2)=20 20×3=60 20×2=40
8. Two cars, A and B, set out from A and B, which are 190km apart, and met on the way. It is known that the speed ratio of car A and car B is 4∶3, and the time ratio when they meet is 5∶6. How many kilometers did car A and car B travel when they met?
(4×5):(3×6)= 10:9
190÷( 10+9)= 10 10× 10= 100 10×9=90
9. There are two groups of workers, the efficiency ratio is 7∶8, the number of workers is 5∶6, and the working time ratio is12 ∶1. What is the ratio of the workload completed by these two groups to the total workload?
(7×5× 12):(8×6× 1 1)=35:44
10, Xiaoming's uphill speed is 3.6 kilometers per hour and downhill speed is 4.5 kilometers per hour. There is a slope, Xiao Ming goes uphill first and then goes downhill along the original road * * * It takes 1.8 hours. How long is this slope?
3.6:4.5=4:5
1.8÷(4+5)×4×4.5=3.6
1 1. There are two baskets of apples, big apples and small apples. The unit price ratio is 5: 4 and the weight ratio is 2: 3. Mix two baskets of apples into100kg mixed apples at the unit price of 4.4 yuan per kilogram. What is the unit price of two baskets of apples?
(5×2):(4×3)=5:6 100÷(2+3)×2=40
4.4× 100÷(5+6)×5÷40=5 5×4/5=4
12, it takes Party A six hours to produce a batch of parts, and Party B can make 36 parts per hour. Now Party A and Party B cooperate to complete the task, and the proportion of parts produced by both parties is 5: 3. How many parts are there in this batch?
36÷( 1/6×3/5)=360
13. Two identical bottles are filled with alcohol solution. The volume ratio of alcohol and water in one bottle is 3∶ 1, and that in the other bottle is 4∶ 1. If two bottles of alcohol solution are mixed, what is the volume ratio of alcohol to water in the mixed solution?
3/(3+ 1)+4/(4+ 1)=3 1/20 3 1/20:(2-3 1/20)=3 1:9
14. The volume ratio of alcohol in bottle A and bottle B is 2∶5, that of alcohol and water in bottle A is 3∶ 1, and that of alcohol and water in bottle B is 4∶ 1. Now pour two bottles of solution into a big bottle. What is the volume ratio of alcohol to water?
2×3/(3+ 1)+5×4/(4+ 1)= 1 1/2 1 1/2:(2+5- 1 1/2)= 1 1:3
15, and Party A * * * each has a deposit of 3,600 yuan. After Party A takes out his 2/5 and Party B takes out his 1/4, their remaining deposits are exactly equal. How much did Party A and Party B originally have?
( 1- 1/4):( 1-2/5)=5:4 3600÷(5+4)×5=2000 3600―2000= 1600