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1. Party A, Party B and Party C contract a project, Party A and Party B work together to complete one third of the project in five days, then Party B and Party C work together to complete the remaining one fourth in two days, and finally Party A and Party C work together for five days to complete the project? 2. There are two kinds of potatoes, big and small. The unit price ratio of big potatoes and small potatoes is 5:4, and the mass ratio is 2:3. Mix the two kinds of potatoes together to form a 100 kg mixed potato. The unit price is 4.4 yuan per kg. How much is the original unit price of the two kinds of potatoes? 3. To assemble bicycles, 3 workers assemble 10 frames in 2 hours and 4 workers assemble 21 wheels in 3 hours. There are 244 workers now. In order to assemble the frame and wheels into a complete vehicle and leave the factory, how to arrange these 244 workers most reasonably?
Party B shall get 150 yuan
2. If the unit price of large potatoes is 5x, the unit price of small potatoes is 4x
If the mass of large potato is 2Y, the mass of small potato is 3Y
2y+3y=100 y=20
5x×2y+4x×3y=100×4.4=440 xy=20
x=1
So: the unit price of big potatoes is 5 yuan / kg, and that of small potatoes is 4 yuan / kg
3. Working efficiency of frame assembly = 10 / (3 × 2) = 5 / 3 / person × hour
Working efficiency of assembling wheel = 21 / (4 × 3) = 7 / 4 / person × hour
If a worker assembles the frame, 244-a workers assemble the wheels
a×5/3：（244-a）×7/4=1：2
427-7/4a=10a/3
40a/12+21/12a=427
61a/12=427
A = 84
Assembly frame 84 people
Wheel assembly 244-84 = 160 persons
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